Advertisement
| engineering applications of noncommutative harmonic analysis: Engineering Applications of Noncommutative Harmonic Analysis Gregory S. Chirikjian, Alexander B. Kyatkin, 2000-09-28 The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is sti |
| engineering applications of noncommutative harmonic analysis: Engineering Applications of Noncommutative Harmonic Analysis Gregory S. Chirikjian, Alexander B. Kyatkin, 2000-09-28 The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox. |
| engineering applications of noncommutative harmonic analysis: Engineering Applications of Noncommutative Harmonic Analysis Gregory S. Chirikjian, Alexander B. Kyatkin, 2021-02-25 First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox. |
| engineering applications of noncommutative harmonic analysis: Harmonic Analysis for Engineers and Applied Scientists Gregory S. Chirikjian, Alexander B. Kyatkin, 2016-07-20 Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups. |
| engineering applications of noncommutative harmonic analysis: Computational Noncommutative Algebra and Applications Jim Byrnes, Gerald Ostheimer, 2004-09-03 The fusion of algebra, analysis and geometry, and their application to real world problems, have been dominant themes underlying mathematics for over a century. Geometric algebras, introduced and classified by Clifford in the late 19th century, have played a prominent role in this effort, as seen in the mathematical work of Cartan, Brauer, Weyl, Chevelley, Atiyah, and Bott, and in applications to physics in the work of Pauli, Dirac and others. One of the most important applications of geometric algebras to geometry is to the representation of groups of Euclidean and Minkowski rotations. This aspect and its direct relation to robotics and vision will be discussed in several chapters of this multi-authored textbook, which resulted from the ASI meeting. Moreover, group theory, beginning with the work of Burnside, Frobenius and Schur, has been influenced by even more general problems. As a result, general group actions have provided the setting for powerful methods within group theory and for the use of groups in applications to physics, chemistry, molecular biology, and signal processing. These aspects, too, will be covered in detail. With the rapidly growing importance of, and ever expanding conceptual and computational demands on signal and image processing in remote sensing, computer vision, medical image processing, and biological signal processing, and on neural and quantum computing, geometric algebras, and computational group harmonic analysis, the topics of the book have emerged as key tools. The list of authors includes many of the world's leading experts in the development of new algebraic modeling and signal representation methodologies, novel Fourier-based and geometric transforms, and computational algorithms required for realizing the potential of these new application fields. |
| engineering applications of noncommutative harmonic analysis: Modern Signal Processing Daniel N. Rockmore, Dennis M. Healy, 2004-04-05 A description of the mathematical basis of signal processing, and many areas of application. |
| engineering applications of noncommutative harmonic analysis: Data-Driven Modeling for Sustainable Engineering Kondo H. Adjallah, Babiga Birregah, Henry Fonbeyin Abanda, 2019-06-21 This book gathers the proceedings of the 1st International Conference on Engineering, Applied Sciences and System Modeling (ICEASSM), a four-day event (18th–21st April 2017) held in Accra, Ghana. It focuses on research work promoting a better understanding of engineering problems through applied sciences and modeling, and on solutions generated in an African setting but with relevance to the world as a whole. The book provides a holistic overview of challenges facing Africa, and addresses various areas from research and development perspectives. Presenting contributions by scientists, engineers and experts hailing from a host of international institutions, the book offers original approaches and technological solutions to help solve real-world problems through research and knowledge sharing. Further, it explores promising opportunities for collaborative research on issues of scientific, economic and social development, making it of interest to researchers, scientists and practitioners looking to conduct research in disciplines such as water supply, control, civil engineering, statistical modeling, renewable energy and sustainable urban development. |
| engineering applications of noncommutative harmonic analysis: Representation Discovery using Harmonic Analysis Sridhar Mahadevan, 2022-05-31 Representations are at the heart of artificial intelligence (AI). This book is devoted to the problem of representation discovery: how can an intelligent system construct representations from its experience? Representation discovery re-parameterizes the state space - prior to the application of information retrieval, machine learning, or optimization techniques - facilitating later inference processes by constructing new task-specific bases adapted to the state space geometry. This book presents a general approach to representation discovery using the framework of harmonic analysis, in particular Fourier and wavelet analysis. Biometric compression methods, the compact disc, the computerized axial tomography (CAT) scanner in medicine, JPEG compression, and spectral analysis of time-series data are among the many applications of classical Fourier and wavelet analysis. A central goal of this book is to show that these analytical tools can be generalized from their usual setting in (infinite-dimensional) Euclidean spaces to discrete (finite-dimensional) spaces typically studied in many subfields of AI. Generalizing harmonic analysis to discrete spaces poses many challenges: a discrete representation of the space must be adaptively acquired; basis functions are not pre-defined, but rather must be constructed. Algorithms for efficiently computing and representing bases require dealing with the curse of dimensionality. However, the benefits can outweigh the costs, since the extracted basis functions outperform parametric bases as they often reflect the irregular shape of a particular state space. Case studies from computer graphics, information retrieval, machine learning, and state space planning are used to illustrate the benefits of the proposed framework, and the challenges that remain to be addressed. Representation discovery is an actively developing field, and the author hopes this book will encourage other researchers to explore this exciting area of research. Table of Contents: Overview / Vector Spaces / Fourier Bases on Graphs / Multiscale Bases on Graphs / Scaling to Large Spaces / Case Study: State-Space Planning / Case Study: Computer Graphics / Case Study: Natural Language / Future Directions |
| engineering applications of noncommutative harmonic analysis: Computer Vision, Imaging and Computer Graphics: Theory and Applications AlpeshKumar Ranchordas, Joao Madeiras Pereira, Hélder J. Araújo, Joao Tavares, 2010-09-09 This book includes extended versions of the selected papers from VISIGRAPP 2009, the International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, which was held in Lisbon, Portugal, during February 5–8, 2009 and organized by the Institute for Systems and Technologies of Information, Control and Communication (INSTICC). VISIGRAPP comprises three component conferences, namely, the International Conference on Computer Vision Theory and Applications (VISAPP), the International Conference on Computer Graphics Theory and Applications (GRAPP), and the International Conference on Imaging Theory and Applications (IMAGAPP). VISIGRAPP received a total of 422 paper submissions from more than 50 co- tries. From these, and after a rigorous double-blind evaluation method, 72 papers were published as full papers. These figures show that this conference is now an - tablished venue for researchers in the broad fields of computer vision, computer graphics and image analysis. From the full papers, 25 were selected for inclusion in this book. The selection process was based on the scores assigned by the Program Committee reviewers as well as the Session Chairs. After selection, the papers were further revised and extended by the authors. Our gratitude goes to all contributors and referees, without whom this book would not have been possible. |
| engineering applications of noncommutative harmonic analysis: Joseph Fourier 250th Birthday Frédéric Barbaresco, Jean-Pierre Gazeau, 2019-03-28 For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information. |
| engineering applications of noncommutative harmonic analysis: Robotics: Concepts, Methodologies, Tools, and Applications Management Association, Information Resources, 2013-10-31 This book explores some of the most recent developments in robotic motion, artificial intelligence, and human-machine interaction, providing insight into a wide variety of applications and functional areas--Provided by publisher. |
| engineering applications of noncommutative harmonic analysis: Service Robots and Robotics: Design and Application Ceccarelli, Marco, 2012-03-31 This book offers the latest research within the field of service robotics, using a mixture of case studies, research, and future direction in this burgeoning field of technology-- |
| engineering applications of noncommutative harmonic analysis: Stochastic Geometric Mechanics Sergio Albeverio, Ana Bela Cruzeiro, Darryl Holm, 2017-11-17 Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view. The lectures were given by leading specialists in different areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics. |
| engineering applications of noncommutative harmonic analysis: Spectral Logic and Its Applications for the Design of Digital Devices Mark G. Karpovsky, Radomir S. Stankovic, Jaakko T. Astola, 2008-07-14 Spectral techniques facilitate the design and testing of today's increasingly complex digital devices There is heightened interest in spectral techniques for the design of digital devices dictated by ever increasing demands on technology that often cannot be met by classical approaches. Spectral methods provide a uniform and consistent theoretic environment for recent achievements in this area, which appear divergent in many other approaches. Spectral Logic and Its Applications for the Design of Digital Devices gives readers a foundation for further exploration of abstract harmonic analysis over finite groups in the analysis, design, and testing of digital devices. After an introduction, this book provides the essential mathematical background for discussing spectral methods. It then delves into spectral logic and its applications, covering: * Walsh, Haar, arithmetic transform, Reed-Muller transform for binary-valued functions and Vilenkin-Chrestenson transform, generalized Haar, and other related transforms for multiple-valued functions * Polynomial expressions and decision diagram representations for switching and multiple-value functions * Spectral analysis of Boolean functions * Spectral synthesis and optimization of combinational and sequential devices * Spectral methods in analysis and synthesis of reliable devices * Spectral techniques for testing computer hardware This is the authoritative reference for computer science and engineering professionals and researchers with an interest in spectral methods of representing discrete functions and related applications in the design and testing of digital devices. It is also an excellent text for graduate students in courses covering spectral logic and its applications. |
| engineering applications of noncommutative harmonic analysis: Applied Mechanics Reviews , 2001 |
| engineering applications of noncommutative harmonic analysis: Advances in Imaging and Electron Physics Peter W. Hawkes, 2011-02-14 Advances in Imaging and Electron Physics merges two long-running serials--Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. Contributions from leading international scholars and industry experts Discusses hot topic areas and presents current and future research trends Invaluable reference and guide for physicists, engineers and mathematicians |
| engineering applications of noncommutative harmonic analysis: Pattern Recognition Adam Herout, 2010-02-01 Pattern recognition is a very wide research field. It involves factors as diverse as sensors, feature extraction, pattern classification, decision fusion, applications and others. The signals processed are commonly one, two or three dimensional, the processing is done in real- time or takes hours and days, some systems look for one narrow object class, others search huge databases for entries with at least a small amount of similarity. No single person can claim expertise across the whole field, which develops rapidly, updates its paradigms and comprehends several philosophical approaches. This book reflects this diversity by presenting a selection of recent developments within the area of pattern recognition and related fields. It covers theoretical advances in classification and feature extraction as well as application-oriented works. Authors of these 25 works present and advocate recent achievements of their research related to the field of pattern recognition. |
| engineering applications of noncommutative harmonic analysis: Stochastic Models, Information Theory, and Lie Groups, Volume 2 Gregory S. Chirikjian, 2011-11-16 This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry. |
| engineering applications of noncommutative harmonic analysis: Probability on Compact Lie Groups David Applebaum, 2014-06-26 Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topics presented are: the study of measures via the non-commutative Fourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures and the statistical problem of deconvolution. The emphasis on compact (rather than general) Lie groups helps readers to get acquainted with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance of these groups for applications. The book is primarily aimed at researchers working in probability, stochastic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists, statisticians and engineers who are working on related applications. A background in first year graduate level measure theoretic probability and functional analysis is essential; a background in Lie groups and representation theory is certainly helpful but the first two chapters also offer orientation in these subjects. |
| engineering applications of noncommutative harmonic analysis: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2005 James Duncan, 2005-09-27 |
| engineering applications of noncommutative harmonic analysis: MICCAI 2005 James Duncan, 2005-10-11 The two-volume set LNCS 3749 and LNCS 3750 constitutes the refereed proceedings of the 8th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2005, held in Palm Springs, CA, USA, in October 2005. Based on rigorous peer reviews the program committee selected 237 carefully revised full papers from 632 submissions for presentation in two volumes. The first volume includes all the contributions related to image analysis and validation, vascular image segmentation, image registration, diffusion tensor image analysis, image segmentation and analysis, clinical applications - validation, imaging systems - visualization, computer assisted diagnosis, cellular and molecular image analysis, physically-based modeling, robotics and intervention, medical image computing for clinical applications, and biological imaging - simulation and modeling. The second volume collects the papers related to robotics, image-guided surgery and interventions, image registration, medical image computing , structural and functional brain analysis, model-based image analysis, image-guided intervention: simulation, modeling and display, and image segmentation and analysis. |
| engineering applications of noncommutative harmonic analysis: Stochastic Models, Information Theory, and Lie Groups, Volume 1 Gregory S. Chirikjian, 2009-09-02 This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry. |
| engineering applications of noncommutative harmonic analysis: State Estimation for Robotics Timothy D. Barfoot, 2024-02 This modern look at state estimation now covers variational inference, adaptive covariance estimation, and inertial navigation. |
| engineering applications of noncommutative harmonic analysis: Medical Image Computing and Computer-Assisted Intervention - MICCAI 2001 Wiro J. Niessen, Max A. Viergever, 2003-06-30 In the four years of its existence, MICCAI has developed into the premier - nual conference on medical image computing and computer-assisted interv- tion. The single-track conference has an interdisciplinary character, bringing - getherresearchersfromboththenaturalsciencesandvariousmedicaldisciplines. It provides the international forum for developments concerning all aspects of medical image processing and visualization, image-guided and computer-aided techniques, and robot technology in medicine. The strong interest in MICCAI is con?rmed by the large number of subm- sions we received this year, which by far surpassed our expectations. The arrival of the shipload of papers just before the deadlines (one in the European and the otherin theAmericantime zone)wasa particularlyenjoyableexperience,aswas the whole procedure of preparing the scienti?c programme. Both the quantity and quality of the submissions allowed us to compose a volume of high quality papers, which we are sure will contribute to the further development of this exciting ?eld of research. As for the hard numbers, in total 338 submissions were received. Next to full papers, short communications were solicited for works in progress,hardware prototypes, and clinical case studies. Long papers were reviewed by three or four reviewers and short papers by two or three reviewers. The ?nal selection of papers was carried out by the Programme Board. Out of the 246 long papers, 36 were accepted for oral presentation and 100 as full posters. An additional 75 of the long papers, and 47 out of 92 short papers were accepted as short posters. |
| engineering applications of noncommutative harmonic analysis: Fundamentals of Advanced Mathematics V3 Henri Bourles, 2019-10-11 Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. - Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more - Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems - Provides theory as well as practical information |
| engineering applications of noncommutative harmonic analysis: Applied Directional Statistics Christophe Ley, Thomas Verdebout, 2018-09-03 This book collects important advances in methodology and data analysis for directional statistics. It is the companion book of the more theoretical treatment presented in Modern Directional Statistics (CRC Press, 2017). The field of directional statistics has received a lot of attention due to demands from disciplines such as life sciences or machine learning, the availability of massive data sets requiring adapted statistical techniques, and technological advances. This book covers important progress in bioinformatics, biology, astrophysics, oceanography, environmental sciences, earth sciences, machine learning and social sciences. |
| engineering applications of noncommutative harmonic analysis: Mathematics of DNA Structure, Function and Interactions Craig John Benham, Stephen Harvey, Wilma K. Olson, De Witt Sumners, David Swigon, 2010-04-29 Propelled by the success of the sequencing of the human and many related genomes, molecular and cellular biology has delivered significant scientific breakthroughs. Mathematics (broadly defined) continues to play a major role in this effort, helping to discover the secrets of life by working collaboratively with bench biologists, chemists and physicists. Because of its outstanding record of interdisciplinary research and training, the IMA was an ideal venue for the 2007-2008 IMA thematic year on Mathematics of Molecular and Cellular Biology. The kickoff event for this thematic year was a tutorial on Mathematics of Nucleic Acids, followed by the workshop Mathematics of Molecular and Cellular Biology, held September 15--21 at the IMA. This volume is dedicated to the memory of Nicholas R. Cozzarelli, a dynamic leader who fostered research and training at the interface between mathematics and molecular biology. It contains a personal remembrance of Nick Cozzarelli, plus 15 papers contributed by workshop speakers. The papers give an overview of state-of-the-art mathematical approaches to the understanding of DNA structure and function, and the interaction of DNA with proteins that mediate vital life processes. |
| engineering applications of noncommutative harmonic analysis: Fast Polynomial Transforms Jens Keiner, 2011 Classical orthogonal polynomials and the related associated functions are real classics in approximation theory. They share a rich history of research that has uncovered their many relationships to topics of fundamental importance. This text develops a new aspect of the so-called connection problem. This problem asks how a given expansion in a specific sequence of polynomials or functions may be converted into an equivalent one using a different sequence - often within reason, that is, within the same classical family. A new theory relates this problem to the class of semiseparable matrices. This implies efficient algorithms that have the capacity to cover the connection problem not only numerically efficient, but at the same time, numerically stable. The result has implications for numerical problems whose treatment involves these transformations. One such example, described in more detail, are generalizations of the fast Fourier transform to geometries like the two-sphere or the rotation group SO(3). |
| engineering applications of noncommutative harmonic analysis: Advances in Robot Kinematics Jadran Lenarčič, Oussama Khatib, 2014-05-19 The topics addressed in this book cover the whole range of kinematic analysis, synthesis and design and consider robotic systems possessing serial, parallel and cable driven mechanisms. The robotic systems range from being less than fully mobile to kinematically redundant to over constrained. The fifty-six contributions report the latest results in robot kinematics with emphasis on emerging areas such as design and control of humanoids or humanoid subsystems. The book is of interest to researchers wanting to bring their knowledge up to date regarding modern topics in one of the basic disciplines in robotics, which relates to the essential property of robots, the motion of mechanisms. |
| engineering applications of noncommutative harmonic analysis: Computer Methods, Part C , 2010-12-24 The combination of faster, more advanced computers and more quantitatively oriented biomedical researchers has recently yielded new and more precise methods for the analysis of biomedical data. These better analyses have enhanced the conclusions that can be drawn from biomedical data, and they have changed the way that experiments are designed and performed. This volume, along with the 2 previous Computer Methods volumes for the Methods in Enzymology serial, aims to inform biomedical researchers about recent applications of modern data analysis and simulation methods as applied to biomedical research. - Presents step-by-step computer methods and discusses the techniques in detail to enable their implementation in solving a wide range of problems - Informs biomedical researchers of the modern data analysis methods that have developed alongside computer hardware - Presents methods at the nuts and bolts level to identify and resolve a problem and analyze what the results mean |
| engineering applications of noncommutative harmonic analysis: Pattern Recognition Luc Van Gool, 2003-06-30 We are proud to present the DAGM 2002 proceedings, which are the result of the e?orts of many people. First, there are the many authors, who have submitted so many excellent cont- butions. We received more than 140 papers, of which we could only accept about half in order not to overload the program. Only about one in seven submitted papers could be delivered as an oral presentation, for the same reason. But it needs to be said that almost all submissions were of a really high quality. This strong program could not have been put together without the support of the Program Committee. They took their responsibility most seriously and we are very grateful for their reviewing work, which certainly took more time than anticipated, given the larger than usual number of submissions. Our three invited speakers added a strong multidisciplinary component to the conference. Dr. Antonio Criminisi of Microsoft Research (Redmond, USA) dem- strated how computer vision can literally bring a new dimension to the app- ciation of art. Prof. Philippe Schyns (Dept. of Psychology, Univ. of Glasgow, UK) presented intriguing insights into the human perception of patterns, e.g., the role of scale. Complementary to this presentation, Prof. Manabu Tanifuji of the Brain Science Institute in Japan (Riken) discussed novel neurophysiological ?ndings on how the brain deals with the recognition of objects and their parts. |
| engineering applications of noncommutative harmonic analysis: 3D Parametric Intensity Models for the Localization of 3D Anatomical Point Landmarks and 3D Segmentation of Human Vessels Stefan Wörz, 2006 |
| engineering applications of noncommutative harmonic analysis: Multi-Camera Networks Hamid Aghajan, Andrea Cavallaro, 2009-04-25 - The first book, by the leading experts, on this rapidly developing field with applications to security, smart homes, multimedia, and environmental monitoring - Comprehensive coverage of fundamentals, algorithms, design methodologies, system implementation issues, architectures, and applications - Presents in detail the latest developments in multi-camera calibration, active and heterogeneous camera networks, multi-camera object and event detection, tracking, coding, smart camera architecture and middleware This book is the definitive reference in multi-camera networks. It gives clear guidance on the conceptual and implementation issues involved in the design and operation of multi-camera networks, as well as presenting the state-of-the-art in hardware, algorithms and system development. The book is broad in scope, covering smart camera architectures, embedded processing, sensor fusion and middleware, calibration and topology, network-based detection and tracking, and applications in distributed and collaborative methods in camera networks. This book will be an ideal reference for university researchers, R&D engineers, computer engineers, and graduate students working in signal and video processing, computer vision, and sensor networks. Hamid Aghajan is a Professor of Electrical Engineering (consulting) at Stanford University. His research is on multi-camera networks for smart environments with application to smart homes, assisted living and well being, meeting rooms, and avatar-based communication and social interactions. He is Editor-in-Chief of Journal of Ambient Intelligence and Smart Environments, and was general chair of ACM/IEEE ICDSC 2008. Andrea Cavallaro is Reader (Associate Professor) at Queen Mary, University of London (QMUL). His research is on target tracking and audiovisual content analysis for advanced surveillance and multi-sensor systems. He serves as Associate Editor of the IEEE Signal Processing Magazine and the IEEE Trans. on Multimedia, and has been general chair of IEEE AVSS 2007, ACM/IEEE ICDSC 2009 and BMVC 2009. - The first book, by the leading experts, on this rapidly developing field with applications to security, smart homes, multimedia, and environmental monitoring - Comprehensive coverage of fundamentals, algorithms, design methodologies, system implementation issues, architectures, and applications - Presents in detail the latest developments in multi-camera calibration, active and heterogeneous camera networks, multi-camera object and event detection, tracking, coding, smart camera architecture and middleware |
| engineering applications of noncommutative harmonic analysis: Aspects Of Representation Theory And Noncommutative Harmonic Analysis Jean H Gallier, Jocelyn Quaintance, 2025-01-17 This book presents the theory of harmonic analysis for noncommutative compact groups. If G is a commutative locally compact group, there is a well-understood theory of harmonic analysis as discussed in Aspects of Harmonic Analysis on Locally Compact Abelian Groups. If G is not commutative, things are a lot tougher. In the special case of a compact group, there is a deep interplay between analysis and representation theory which was first discovered by Hermann Weyl and refined by Andre Weil. This book presents these seminal results of Weyl and Weil.Starting with the basics of representations theory, it presents the famous Peter-Weyl theorems and discusses Fourier analysis on compact groups. This book also introduces the reader to induced representations of locally compact groups, induced representations of G-bundles, and the theory of Gelfand pairs. A special feature is the chapter on equivariant convolutional neural networks (CNNs), a chapter which shows how many of the abstract concepts of representations, analysis on compact groups, Peter-Weyl theorems, Fourier transform, induced representations are used to tackle very practical, modern-day problems. |
| engineering applications of noncommutative harmonic analysis: Backscattering and RF Sensing for Future Wireless Communication Qammer H. Abbasi, Hasan Tahir Abbas, Akram Alomainy, Muhammad Ali Imran, 2021-04-06 Backscattering and RF Sensing for Future Wireless Communication Discover what lies ahead in wireless communication networks with this insightful and forward-thinking book written by experts in the field Backscattering and RF Sensing for Future Wireless Communication delivers a concise and insightful picture of emerging and future trends in increasing the efficiency and performance of wireless communication networks. The book shows how the immense challenge of frequency saturation could be met via the deployment of intelligent planar electromagnetic structures. It provides an in-depth coverage of the fundamental physics behind these structures and assesses the enhancement of the performance of a communication network in challenging environments, like densely populated urban centers. The distinguished editors have included resources from a variety of leading voices in the field who discuss topics such as the engineering of metasurfaces at a large scale, the electromagnetic analysis of planar metasurfaces, and low-cost and reliable backscatter communication. All of the included works focus on the facilitation of the development of intelligent systems designed to enhance communication network performance. Readers will also benefit from the inclusion of: A thorough introduction to the evolution of wireless communication networks over the last thirty years, including the imminent saturation of the frequency spectrum An exploration of state-of-the-art techniques that next-generation wireless networks will likely incorporate, including software-controlled frameworks involving artificial intelligence An examination of the scattering of electromagnetic waves by metasurfaces, including how wave propagation differs from traditional bulk materials A treatment of the evolution of artificial intelligence in wireless communications Perfect for researchers in wireless communications, electromagnetics, and urban planning, Backscattering and RF Sensing for Future Wireless Communication will also earn a place in the libraries of government policy makers, technologists, and telecom industry stakeholders who wish to get a head start on understanding the technologies that will enable tomorrow’s wireless communications. |
| engineering applications of noncommutative harmonic analysis: New Foundations for Applied Electromagnetics: The Spatial Structure of Electromagnetic Fields Said Mikki, Yahia Antar, 2016-05-31 This comprehensive new resource focuses on applied electromagnetics and takes readers beyond the conventional theory with the use of contemporary mathematics to improve the practical use of electromagnetics in emerging areas of field communications, wireless power transfer, metamaterials, MIMO and direction-of-arrival systems. The book explores the existing and novel theories and principles of electromagnetics in order to help engineers analyze and design devices for today's applications in wireless power transfers, NFC, and metamaterials. This book is organized into clear and logical sections spanning from fundamental theory, to applications, promoting clear understanding through-out. This resource presents the theory of electromagnetic near fields including chapters on reactive energy, spatial and spectral theory, the scalar antenna, and the morphogenesis of electromagnetic radiation in the near field zone. The Antenna Current Green's Function Formalism is explored with an emphasis on the foundations, the organic interrelationships between the fundamental operational modes of general antenna systems, and the spectral approach to antenna-to-antenna interactions. The book offers perspective on nonlocal metamaterials, including the material response theory, the far-field theory, and the near-field theory. |
| engineering applications of noncommutative harmonic analysis: Robotics Chao Chen, Wesley Au, Shao Liu, 2025-06-30 Robotics: From Theory to Practice introduces robotic theories and technologies to audiences, including university students, professionals with engineering backgrounds, and even high-school students interested in building their own robots. We aim to bridge the gap between classic theories and real-world applications of robotic manipulators, which, to date, have far exceeded the domain of conventional industry. The contents are divided into three parts. The first two cover classic theories of robotics, including kinematics, dynamics, path planning, control, and programming. Specifically, Part I is an introduction targeting junior students, featuring more simplistic topics and examples. Part II provides the senior students and professionals with more in-depth discussions on critical topics and more comprehensive examples. In Part III, we demonstrate how classic robotics theory can be extended to more advanced theoretical frameworks and adopted in real-world applications beyond conventional industries. This textbook is valuable to broad readers, including those who have limited background in general engineering and wish to explore non-conventional applications of robotic manipulators. The scaffolded contents from Part I to Part III are created to lower the prerequisites and smooth the learning curve. |
| engineering applications of noncommutative harmonic analysis: Technology Developments: the Role of Mechanism and Machine Science and IFToMM Marco Ceccarelli, 2011-05-26 This is the first book of a series that will focus on MMS (Mechanism and Machine Science). This book also presents IFToMM, the International Federation on the Promotion of MMS and its activity. This volume contains contributions by IFToMM officers who are Chairs of member organizations (MOs), permanent commissions (PCs), and technical committees (TCs), who have reported their experiences and views toward the future of IFToMM and MMS. The book is composed of three parts: the first with general considerations by high-standing IFToMM persons, the second chapter with views by the chairs of PCs and TCs as dealing with specific subject areas, and the third one with reports by the chairs of MOs as presenting experiences and challenges in national and territory communities. This book will be of interest to a wide public who wish to know the status and trends in MMS both at international level through IFToMM and in national/local frames through the leading actors of activities. In addition, the book can be considered also a fruitful source to find out “who’s who” in MMS, historical backgrounds and trends in MMS developments, as well as for challenges and problems in future activity by IFToMM community and in MMS at large. |
| engineering applications of noncommutative harmonic analysis: Imaging Beyond the Pinhole Camera Kostas Daniilidis, Reinhard Klette, 2006-09-21 This book traces progress in photography since the first pinhole, or camera obscura, architecture. The authors describe innovations such as photogrammetry, and omnidirectional vision for robotic navigation. The text shows how new camera architectures create a need to master related projective geometries for calibration, binocular stereo, static or dynamic scene understanding. Written by leading researchers in the field, this book also explores applications of alternative camera architectures. |
| engineering applications of noncommutative harmonic analysis: Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data Carl-Fredrik Westin, Anna Vilanova, Bernhard Burgeth, 2014-07-17 Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties. Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensor fields in engineering, discusses the current state of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs. The second Part, Representation and Processing of Higher-order Descriptors, describes a matrix representation of local phase, outlines mathematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI. Part III, Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to model and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging (DKI). A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a novel perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, explores the free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research. The last Part, Applications of Tensor Processing, discusses metric and curvature tensors, two of the most studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion MRI data. The last chapter presents an interactive system integrating the visual analysis of diffusion MRI tractography with data from electroencephalography. |
Engineering | Journal | ScienceDirect.com by Elsevier
The official journal of the Chinese Academy of Engineering and Higher Education Press. Engineering is an international open-access journal that was launched by the Chinese …
Chemical Engineering Journal | Vol 504, 15 January 2025
Read the latest articles of Chemical Engineering Journal at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature
Tissue Engineering and Spinal Cord Injury Repair - ScienceDirect
Mar 1, 2025 · Tissue engineering and regenerative medicine is a new interdisciplinary subject integrating life science, material science, engineering technology, and clinical medicine.
Chemical Engineering Journal: Green and Sustainable - ScienceDirect
Chemical Engineering Journal: Green and Sustainable (CEJGAS) is dedicated to publishing cutting-edge research that addresses global sustainability challenges through innovative …
Engineering | All Journal Issues | ScienceDirect.com by Elsevier
Read the latest articles of Engineering at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature
Browse 5,530 journals and 36,928 books - ScienceDirect
Browse journals and books at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature
Engineering source-sink relations by prime editing confers heat …
Jan 23, 2025 · The fundamental plant physiology concept of source-sink relations was first proposed by Mason and Maskell in 1928 to explain how a limited supply of resources are …
Engineering Structures | Journal | ScienceDirect.com by Elsevier
Engineering Structures provides a forum for a broad blend of scientific and technical papers to reflect the evolving needs of the structural engineering and structural mechanics communities. …
Guide for authors - Engineering - ISSN 2095-8099 - ScienceDirect
Research Article (up to ~6000 words, including 3~5 keywords, an abstract, an introduction, main body, brief subheadings, a conclusion, figures or tables, and references.) are original, …
Editorial board - Engineering | ScienceDirect.com by Elsevier
Editorial Board Office of Engineering. Fusheng Buiding No.1, Huixindongjie #4, Chaoyang District, Beijing, 100029, China, Email: [email protected]
Engineering | Journal | ScienceDirect.com by Elsevier
The official journal of the Chinese Academy of Engineering and Higher Education Press. Engineering is an international open-access journal that was launched by the Chinese …
Chemical Engineering Journal | Vol 504, 15 January 2025
Read the latest articles of Chemical Engineering Journal at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature
Tissue Engineering and Spinal Cord Injury Repair - ScienceDirect
Mar 1, 2025 · Tissue engineering and regenerative medicine is a new interdisciplinary subject integrating life science, material science, engineering technology, and clinical medicine.
Chemical Engineering Journal: Green and Sustainable - ScienceDirect
Chemical Engineering Journal: Green and Sustainable (CEJGAS) is dedicated to publishing cutting-edge research that addresses global sustainability challenges through innovative …
Engineering | All Journal Issues | ScienceDirect.com by Elsevier
Read the latest articles of Engineering at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature
Browse 5,530 journals and 36,928 books - ScienceDirect
Browse journals and books at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature
Engineering source-sink relations by prime editing confers heat …
Jan 23, 2025 · The fundamental plant physiology concept of source-sink relations was first proposed by Mason and Maskell in 1928 to explain how a limited supply of resources are …
Engineering Structures | Journal | ScienceDirect.com by Elsevier
Engineering Structures provides a forum for a broad blend of scientific and technical papers to reflect the evolving needs of the structural engineering and structural mechanics communities. …
Guide for authors - Engineering - ISSN 2095-8099 - ScienceDirect
Research Article (up to ~6000 words, including 3~5 keywords, an abstract, an introduction, main body, brief subheadings, a conclusion, figures or tables, and references.) are original, …
Editorial board - Engineering | ScienceDirect.com by Elsevier
Editorial Board Office of Engineering. Fusheng Buiding No.1, Huixindongjie #4, Chaoyang District, Beijing, 100029, China, Email: [email protected]
