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| computer graphics through key mathematics: Computer Graphics through Key Mathematics Huw Jones, 2012-12-06 Computer Graphics through Key Mathematics introduces the mathematics that support computer graphics on a 'need to know' basis. Its approach means you don't have to do advanced mathematical manipulation in order to understand the capabilities, scope and limitations of the computer graphics systems that create impressive images. The book is written in a clear, easy-to-understand way and is aimed at all those who have missed out on an extended mathematical education but who are studying or working in areas where computer graphics or 3D design plays an vital part. All those who have no formal training but who want to understand the foundations of computer graphics systems should read this book, as should mathematicians who want to understand how their subject is used in computer image synthesis. |
| computer graphics through key mathematics: Mathematics for Computer Graphics John Vince, 2009-10-12 This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses. |
| computer graphics through key mathematics: Mathematical Tools in Computer Graphics with C# Implementations Alexandre Hardy, Willi-Hans Steeb, 2008 Presents introductory and advanced topics in the field of computer graphics with mathematical descriptions and derivations. This book offers a balance of theory, applications, and code, and derives the underlying numerical methods and algorithms. It contains the classes in C# necessary for computer graphics, and offers an explanation of the code. |
| computer graphics through key mathematics: Mathematics for Computer Graphics Applications Michael E. Mortenson, 1999 Mathematics for Computer Graphics Applications is written for several audiences: for college students majoring in computer science, engineering, or applied mathematics and science, whose special interests are in computer graphics, CAD/CAM, geometric modeling, visualization, or related subjects; for industry and government on-the-job training of employees whose skills can be profitably expanded into these areas; and for the professional working in these fields in need of a comprehensive reference and skills refresher.--BOOK JACKET. |
| computer graphics through key mathematics: 3D Computer Graphics Samuel R. Buss, 2003-05-19 Table of contents |
| computer graphics through key mathematics: 3D Math Primer for Graphics and Game Development Fletcher Dunn, 2011-11-02 This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for |
| computer graphics through key mathematics: Geometric Tools for Computer Graphics Philip Schneider, David H. Eberly, 2002-10-10 Do you spend too much time creating the building blocks of your graphics applications or finding and correcting errors? Geometric Tools for Computer Graphics is an extensive, conveniently organized collection of proven solutions to fundamental problems that you'd rather not solve over and over again, including building primitives, distance calculation, approximation, containment, decomposition, intersection determination, separation, and more. If you have a mathematics degree, this book will save you time and trouble. If you don't, it will help you achieve things you may feel are out of your reach. Inside, each problem is clearly stated and diagrammed, and the fully detailed solutions are presented in easy-to-understand pseudocode. You also get the mathematics and geometry background needed to make optimal use of the solutions, as well as an abundance of reference material contained in a series of appendices. Features - Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. - Covers problems relevant for both 2D and 3D graphics programming. - Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. - Provides the math and geometry background you need to understand the solutions and put them to work. - Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. - Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.* Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors.* Covers problems relevant for both 2D and 3D graphics programming.* Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you.* Provides the math and geometry background you need to understand the solutions and put them to work.* Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode.* Resources associated with the book are available at the companion Web site www.mkp.com/gtcg. |
| computer graphics through key mathematics: Mathematics for 3D Game Programming and Computer Graphics Eric Lengyel, 2020-08 Sooner or later, all game programmers run into coding issues that require an understanding of mathematics or physics concepts such as collision detection, 3D vectors, transformations, game theory, or basic calculus. Unfortunately, most programmers frequently have a limited understanding of these essential mathematics and physics concepts. MATHEMATICS AND PHYSICS FOR PROGRAMMERS, THIRD EDITION provides a simple but thorough grounding in the mathematics and physics topics that programmers require to write algorithms and programs using a non-language-specific approach. Applications and examples from game programming are included throughout, and exercises follow each chapter for additional practice. The book's companion website provides sample code illustrating the mathematical and physics topics discussed in the book. |
| computer graphics through key mathematics: Computer Graphics Through OpenGL® Sumanta Guha, 2018-12-19 COMPREHENSIVE COVERAGE OF SHADERS AND THE PROGRAMMABLE PIPELINE From geometric primitives to animation to 3D modeling to lighting, shading and texturing, Computer Graphics Through OpenGL®: From Theory to Experiments is a comprehensive introduction to computer graphics which uses an active learning style to teach key concepts. Equally emphasizing theory and practice, the book provides an understanding not only of the principles of 3D computer graphics, but also the use of the OpenGL® Application Programming Interface (API) to code 3D scenes and animation, including games and movies. The undergraduate core of the book takes the student from zero knowledge of computer graphics to a mastery of the fundamental concepts with the ability to code applications using fourth-generation OpenGL®. The remaining chapters explore more advanced topics, including the structure of curves and surfaces, applications of projective spaces and transformations and the implementation of graphics pipelines. This book can be used for introductory undergraduate computer graphics courses over one to two semesters. The careful exposition style attempting to explain each concept in the simplest terms possible should appeal to the self-study student as well. Features • Covers the foundations of 3D computer graphics, including animation, visual techniques and 3D modeling • Comprehensive coverage of OpenGL® 4.x, including the GLSL and vertex, fragment, tessellation and geometry shaders • Includes 180 programs with 270 experiments based on them • Contains 750 exercises, 110 worked examples, and 700 four-color illustrations • Requires no previous knowledge of computer graphics • Balances theory with programming practice using a hands-on interactive approach to explain the underlying concepts |
| computer graphics through key mathematics: Computer Graphics Alexey Boreskov, Evgeniy Shikin, 2013-10-25 Complete Coverage of the Current Practice of Computer Graphics Computer Graphics: From Pixels to Programmable Graphics Hardware explores all major areas of modern computer graphics, starting from basic mathematics and algorithms and concluding with OpenGL and real-time graphics. It gives students a firm foundation in today’s high-performance graphics. Up-to-Date Techniques, Algorithms, and API The book includes mathematical background on vectors and matrices as well as quaternions, splines, curves, and surfaces. It presents geometrical algorithms in 2D and 3D for spatial data structures using large data sets. Although the book is mainly based on OpenGL 3.3, it also covers tessellation in OpenGL 4.0, contains an overview of OpenGL ES 2.0, and discusses the new WebGL, which allows students to use OpenGL with shaders directly in their browser. In addition, the authors describe a variety of special effects, including procedural modeling and texturing, fractals, and non-photorealistic rendering. They also explain the fundamentals of the dominant language (OpenCL) and platform (CUDA) of GPGPUs. Web Resource On the book’s CRC Press web page, students can download many ready-to-use examples of C++ code demonstrating various effects. C++ wrappers for basic OpenGL entities, such as textures and programs, are also provided. In-Depth Guidance on a Programmable Graphics Pipeline Requiring only basic knowledge of analytic geometry, linear algebra, and C++, this text guides students through the OpenGL pipeline. Using one consistent example, it leads them step by step from simple rendering to animation to lighting and bumpmapping. |
| computer graphics through key mathematics: Math for Programmers Paul Orland, 2020-11-30 A gentle introduction to some of the most useful mathematical concepts that should be in your developer toolbox. - Christopher Haupt, New Relic Explore important mathematical concepts through hands-on coding. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks |
| computer graphics through key mathematics: Curves and Surfaces for Computer Graphics David Salomon, 2011-09-17 Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes a gallery of color images and Mathematica code listings. |
| computer graphics through key mathematics: Geometric Algebra for Computer Science Leo Dorst, Daniel Fontijne, Stephen Mann, 2010-07-26 Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing* Written by leaders in the field providing essential information on this new technique for 3D graphics* This full colour book includes a website with GAViewer, a program to experiment with GA |
| computer graphics through key mathematics: Wavelets for Computer Graphics Eric J. Stollnitz, Tony D. DeRose, David H. Salesin, 1996 This introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool. |
| computer graphics through key mathematics: 3D Graphics for Game Programming JungHyun Han, 2011-02-17 Designed for advanced undergraduate and beginning graduate courses, 3D Graphics for Game Programming presents must-know information for success in interactive graphics. Assuming a minimal prerequisite understanding of vectors and matrices, it also provides sufficient mathematical background for game developers to combine their previous experie |
| computer graphics through key mathematics: The Magic of Computer Graphics Noriko Kurachi, 2011-06-01 Computer graphics is a vast field that is becoming larger every day. It is impossible to cover every topic of interest, even within a specialization such as CG rendering. For many years, Noriko Kurachi has reported on the latest developments for Japanese readers in her monthly column for CG World. Being something of a pioneer herself, she selected topics that represented original and promising new directions for research. Many of these novel ideas are the topics covered in The Magic of Computer Graphics. Starting from the basic behavior of light, the first section of the book introduces the most useful techniques for global and local illumination using geometric descriptions of an environment. The second section goes on to describe image-based techniques that rely on captured data to do their magic. In the final section, the author looks at the synthesis of these two complementary approaches and what they mean for the future of computer graphics. |
| computer graphics through key mathematics: Essential Mathematics for Games and Interactive Applications James M. Van Verth, Lars M. Bishop, 2008-05-19 Essential Mathematics for Games and Interactive Applications, 2nd edition presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix multiplication and expands on this foundation to cover such topics as color and lighting, interpolation, animation and basic game physics. Essential Mathematics focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout. The new edition Windows code will now use Visual Studio.NET. There will also be DirectX support provided, along with OpenGL - due to its cross-platform nature. Programmers will find more concrete examples included in this edition, as well as additional information on tuning, optimization and robustness. The book has a companion CD-ROM with exercises and a test bank for the academic secondary market, and for main market: code examples built around a shared code base, including a math library covering all the topics presented in the book, a core vector/matrix math engine, and libraries to support basic 3D rendering and interaction. |
| computer graphics through key mathematics: Approximation and Modeling with B-Splines Klaus Hollig, Jorg Horner, 2015-07-01 B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods (mathematics), modeling techniques (engineering), and geometric algorithms (computer science). A supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos. |
| computer graphics through key mathematics: Fluid Simulation for Computer Graphics Robert Bridson, 2015-09-18 A practical introduction, the second edition of Fluid Simulation for Computer Graphics shows you how to animate fully three-dimensional incompressible flow. It covers all the aspects of fluid simulation, from the mathematics and algorithms to implementation, while making revisions and updates to reflect changes in the field since the first edition. Highlights of the Second Edition New chapters on level sets and vortex methods Emphasizes hybrid particle–voxel methods, now the industry standard approach Covers the latest algorithms and techniques, including: fluid surface reconstruction from particles; accurate, viscous free surfaces for buckling, coiling, and rotating liquids; and enhanced turbulence for smoke animation Adds new discussions on meshing, particles, and vortex methods The book changes the order of topics as they appeared in the first edition to make more sense when reading the first time through. It also contains several updates by distilling author Robert Bridson’s experience in the visual effects industry to highlight the most important points in fluid simulation. It gives you an understanding of how the components of fluid simulation work as well as the tools for creating your own animations. |
| computer graphics through key mathematics: Computer Graphics Nobuhiko Mukai, 2012-03-30 Computer graphics is now used in various fields; for industrial, educational, medical and entertainment purposes. The aim of computer graphics is to visualize real objects and imaginary or other abstract items. In order to visualize various things, many technologies are necessary and they are mainly divided into two types in computer graphics: modeling and rendering technologies. This book covers the most advanced technologies for both types. It also includes some visualization techniques and applications for motion blur, virtual agents and historical textiles. This book provides useful insights for researchers in computer graphics. |
| computer graphics through key mathematics: Real-Time 3D Graphics with WebGL 2 Farhad Ghayour, Diego Cantor, 2018-10-31 This book is a complete course on computer graphics covering topics such as rendering, 3D math, lighting, cameras, and much more. It will be your trust-worthy companion in developing immersive experiences with WebGL, a hardware-accelerated technology in the browser without installing additional software. |
| computer graphics through key mathematics: Advances in Computer Graphics Marina Gavrilova, Jian Chang, Nadia Magnenat Thalmann, Eckhard Hitzer, Hiroshi Ishikawa, 2019-06-11 This book constitutes the refereed proceedings of the 36th Computer Graphics International Conference, CGI 2019, held in Calgary, AB, Canada, in June 2019. The 30 revised full papers presented together with 28 short papers were carefully reviewed and selected from 231 submissions. The papers address topics such as: 3D reconstruction and rendering, virtual reality and augmented reality, computer animation, geometric modelling, geometric computing, shape and surface modelling, visual analytics, image processing, pattern recognition, motion planning, gait and activity biometric recognition, machine learning for graphics and applications in security, smart electronics, autonomous navigation systems, robotics, geographical information systems, and medicine and art. |
| computer graphics through key mathematics: Introduction to Computer Graphics Frank Klawonn, 2012-01-18 This book is an essential tool for second-year undergraduate students and above, providing clear and concise explanations of the basic concepts of computer graphics, and enabling the reader to immediately implement these concepts in Java 2D and/or 3D with only elementary knowledge of the programming language. Features: provides an ideal, self-contained introduction to computer graphics, with theory and practice presented in integrated combination; presents a practical guide to basic computer graphics programming using Java 2D and 3D; includes new and expanded content on the integration of text in 3D, particle systems, billboard behaviours, dynamic surfaces, the concept of level of detail, and the use of functions of two variables for surface modelling; contains many pedagogical tools, including numerous easy-to-understand example programs and end-of-chapter exercises; supplies useful supplementary material, including additional exercises, solutions, and program examples, at an associated website. |
| computer graphics through key mathematics: Contemporary Topics in Computer Graphics and Games Veysi İşler, Haşmet Gürçay, Hasan Kemal Süher, Güven Çatak, 2020 This book provides an introduction and overview of the rapidly evolving topics of computer graphics and games, presenting the new perspectives employed by researchers and the industry, highlighting the recent empirical findings. Bringing selected papers from the Eurasia Graphics conference series together, the book aims to discuss issues, solutions, challenges, and needs for a better understanding of computer graphics and games. The Games and Simulation section of this book covers the topics of game user experience, game narrative, playability heuristics, human computer interaction and various computer simulations. The Computer Graphics section deals with 3D modelling, procedural content generation, visualization, and interaction techniques. |
| computer graphics through key mathematics: The Computer Graphics Manual David Salomon, 2011-10-06 This book presents a broad overview of computer graphics (CG), its history, and the hardware tools it employs. Covering a substantial number of concepts and algorithms, the text describes the techniques, approaches, and algorithms at the core of this field. Emphasis is placed on practical design and implementation, highlighting how graphics software works, and explaining how current CG can generate and display realistic-looking objects. The mathematics is non-rigorous, with the necessary mathematical background introduced in the Appendixes. Features: includes numerous figures, examples and solved exercises; discusses the key 2D and 3D transformations, and the main types of projections; presents an extensive selection of methods, algorithms, and techniques; examines advanced techniques in CG, including the nature and properties of light and color, graphics standards and file formats, and fractals; explores the principles of image compression; describes the important input/output graphics devices. |
| computer graphics through key mathematics: Computer Animation Rick Parent, 2007-11-01 Driven by the demands of research and the entertainment industry, the techniques of animation are pushed to render increasingly complex objects with ever-greater life-like appearance and motion. This rapid progression of knowledge and technique impacts professional developers, as well as students. Developers must maintain their understanding of conceptual foundations, while their animation tools become ever more complex and specialized. The second edition of Rick Parent's Computer Animation is an excellent resource for the designers who must meet this challenge. The first edition established its reputation as the best technically oriented animation text. This new edition focuses on the many recent developments in animation technology, including fluid animation, human figure animation, and soft body animation. The new edition revises and expands coverage of topics such as quaternions, natural phenomenon, facial animation, and inverse kinematics. The book includes up-to-date discussions of Maya scripting and the Maya C++ API, programming on real-time 3D graphics hardware, collision detection, motion capture, and motion capture data processing. - New up-to-the-moment coverage of hot topics like real-time 3D graphics, collision detection, fluid and soft-body animation and more! - Companion site with animation clips drawn from research & entertainment and code samples - Describes the mathematical and algorithmic foundations of animation that provide the animator with a deep understanding and control of technique |
| computer graphics through key mathematics: Handbook of Research on Integrating Computer Science and Computational Thinking in K-12 Education Keengwe, Jared, Wachira, Patrick, 2019-12-13 As technology continues to develop and prove its importance in modern society, certain professions are acclimating. Aspects such as computer science and computational thinking are becoming essential areas of study. Implementing these subject areas into teaching practices is necessary for younger generations to adapt to the developing world. There is a critical need to examine the pedagogical implications of these technological skills and implement them into the global curriculum. The Handbook of Research on Integrating Computer Science and Computational Thinking in K-12 Education is a collection of innovative research on the methods and applications of computer science curriculum development within primary and secondary education. While highlighting topics including pedagogical implications, comprehensive techniques, and teacher preparation models, this book is ideally designed for teachers, IT consultants, curriculum developers, instructional designers, educational software developers, higher education faculty, administrators, policymakers, researchers, and graduate students. |
| computer graphics through key mathematics: Fundamentals of Computer Graphics Steve Marschner, Peter Shirley, 2018-10-24 Drawing on an impressive roster of experts in the field, Fundamentals of Computer Graphics, Fourth Edition offers an ideal resource for computer course curricula as well as a user-friendly personal or professional reference. Focusing on geometric intuition, the book gives the necessary information for understanding how images get onto the screen by using the complementary approaches of ray tracing and rasterization. It covers topics common to an introductory course, such as sampling theory, texture mapping, spatial data structure, and splines. It also includes a number of contributed chapters from authors known for their expertise and clear way of explaining concepts. Highlights of the Fourth Edition Include: Updated coverage of existing topics Major updates and improvements to several chapters, including texture mapping, graphics hardware, signal processing, and data structures A text now printed entirely in four-color to enhance illustrative figures of concepts The fourth edition of Fundamentals of Computer Graphics continues to provide an outstanding and comprehensive introduction to basic computer graphic technology and theory. It retains an informal and intuitive style while improving precision, consistency, and completeness of material, allowing aspiring and experienced graphics programmers to better understand and apply foundational principles to the development of efficient code in creating film, game, or web designs. Key Features Provides a thorough treatment of basic and advanced topics in current graphics algorithms Explains core principles intuitively, with numerous examples and pseudo-code Gives updated coverage of the graphics pipeline, signal processing, texture mapping, graphics hardware, reflection models, and curves and surfaces Uses color images to give more illustrative power to concepts |
| computer graphics through key mathematics: The Cg Tutorial Randima Fernando, Mark J. Kilgard, 2003 Cg is a complete programming environment for the fast creation of special effects and real-time cinematic quality experiences on multiple platforms. This text provides a guide to the Cg graphics language. |
| computer graphics through key mathematics: Math Adventures with Python Peter Farrell, 2019-01-08 Learn math by getting creative with code! Use the Python programming language to transform learning high school-level math topics like algebra, geometry, trigonometry, and calculus! Math Adventures with Python will show you how to harness the power of programming to keep math relevant and fun. With the aid of the Python programming language, you'll learn how to visualize solutions to a range of math problems as you use code to explore key mathematical concepts like algebra, trigonometry, matrices, and cellular automata. Once you've learned the programming basics like loops and variables, you'll write your own programs to solve equations quickly, make cool things like an interactive rainbow grid, and automate tedious tasks like factoring numbers and finding square roots. You'll learn how to write functions to draw and manipulate shapes, create oscillating sine waves, and solve equations graphically. You'll also learn how to: - Draw and transform 2D and 3D graphics with matrices - Make colorful designs like the Mandelbrot and Julia sets with complex numbers - Use recursion to create fractals like the Koch snowflake and the Sierpinski triangle - Generate virtual sheep that graze on grass and multiply autonomously - Crack secret codes using genetic algorithms As you work through the book's numerous examples and increasingly challenging exercises, you'll code your own solutions, create beautiful visualizations, and see just how much more fun math can be! |
| computer graphics through key mathematics: Graphics Shaders Mike Bailey, Steve Cunningham, 2012-05-22 Programmable graphics shaders, programs that can be downloaded to a graphics processor (GPU) to carry out operations outside the fixed-function pipeline of earlier standards, have become a key feature of computer graphics. This book is designed to open computer graphics shader programming to the student, whether in a traditional class or on their own. It is intended to complement texts based on fixed-function graphics APIs, specifically OpenGL. It introduces shader programming in general, and specifically the GLSL shader language. It also introduces a flexible, easy-to-use tool, glman, that helps you develop, test, and tune shaders outside an application that would use them. |
| computer graphics through key mathematics: Introduction to Computer Graphics with OpenGL ES JungHyun Han, 2018-05-23 OpenGL ES is the standard graphics API used for mobile and embedded systems. Despite its widespread use, there is a lack of material that addresses the balance of both theory and practice in OpenGL ES. JungHyun Han’s Introduction to Computer Graphics with OpenGL ES achieves this perfect balance. Han’s depiction of theory and practice illustrates how 3D graphics fundamentals are implemented. Theoretical or mathematical details around real-time graphics are also presented in a way that allows readers to quickly move on to practical programming. Additionally, this book presents OpenGL ES and shader code on many topics. Industry professionals, as well as, students in Computer Graphics and Game Programming courses will find this book of importance. Key Features: Presents key graphics algorithms that are commonly employed by state-of-the-art game engines and 3D user interfaces Provides a hands-on look at real-time graphics by illustrating OpenGL ES and shader code on various topics Depicts troublesome concepts using elaborate 3D illustrations so that they can be easily absorbed Includes problem sets, solutions manual, and lecture notes for those wishing to use this book as a course text. |
| computer graphics through key mathematics: Computer Graphics from Scratch Gabriel Gambetta, 2021-05-18 Computer Graphics from Scratch demystifies the algorithms used in modern graphics software and guides beginners through building photorealistic 3D renders. Computer graphics programming books are often math-heavy and intimidating for newcomers. Not this one. Computer Graphics from Scratch takes a simpler approach by keeping the math to a minimum and focusing on only one aspect of computer graphics, 3D rendering. You’ll build two complete, fully functional renderers: a raytracer, which simulates rays of light as they bounce off objects, and a rasterizer, which converts 3D models into 2D pixels. As you progress you’ll learn how to create realistic reflections and shadows, and how to render a scene from any point of view. Pseudocode examples throughout make it easy to write your renderers in any language, and links to live JavaScript demos of each algorithm invite you to explore further on your own. Learn how to: Use perspective projection to draw 3D objects on a 2D plane Simulate the way rays of light interact with surfaces Add mirror-like reflections and cast shadows to objects Render a scene from any camera position using clipping planes Use flat, Gouraud, and Phong shading to mimic real surface lighting Paint texture details onto basic shapes to create realistic-looking objects Whether you’re an aspiring graphics engineer or a novice programmer curious about how graphics algorithms work, Gabriel Gambetta’s simple, clear explanations will quickly put computer graphics concepts and rendering techniques within your reach. All you need is basic coding knowledge and high school math. Computer Graphics from Scratch will cover the rest. |
| computer graphics through key mathematics: Handbook of Graph Drawing and Visualization Roberto Tamassia, 2013-08-19 Get an In-Depth Understanding of Graph Drawing Techniques, Algorithms, Software, and Applications The Handbook of Graph Drawing and Visualization provides a broad, up-to-date survey of the field of graph drawing. It covers topological and geometric foundations, algorithms, software systems, and visualization applications in business, education, science, and engineering. Each chapter is self-contained and includes extensive references. The first several chapters of the book deal with fundamental topological and geometric concepts and techniques used in graph drawing, such as planarity testing and embedding, crossings and planarization, symmetric drawings, and proximity drawings. The following chapters present a large collection of algorithms for constructing drawings of graphs, including tree, planar straight-line, planar orthogonal and polyline, spine and radial, circular, rectangular, hierarchical, and three-dimensional drawings as well as labeling algorithms, simultaneous embeddings, and force-directed methods. The book then introduces the GraphML language for representing graphs and their drawings and describes three software systems for constructing drawings of graphs: OGDF, GDToolkit, and PIGALE. The final chapters illustrate the use of graph drawing methods in visualization applications for biological networks, computer security, data analytics, education, computer networks, and social networks. Edited by a pioneer in graph drawing and with contributions from leaders in the graph drawing research community, this handbook shows how graph drawing and visualization can be applied in the physical, life, and social sciences. Whether you are a mathematics researcher, IT practitioner, or software developer, the book will help you understand graph drawing methods and graph visualization systems, use graph drawing techniques in your research, and incorporate graph drawing solutions in your products. |
| computer graphics through key mathematics: Mathematics for Machine Learning Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong, 2020-04-23 Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning. |
| computer graphics through key mathematics: Moving Innovation Tom Sito, 2015-08-21 A behind-the-scenes history of computer graphics, featuring a cast of math nerds, avant-garde artists, cold warriors, hippies, video game players, and studio executives. Computer graphics (or CG) has changed the way we experience the art of moving images. Computer graphics is the difference between Steamboat Willie and Buzz Lightyear, between ping pong and PONG. It began in 1963 when an MIT graduate student named Ivan Sutherland created Sketchpad, the first true computer animation program. Sutherland noted: “Since motion can be put into Sketchpad drawings, it might be exciting to try making cartoons.” This book, the first full-length history of CG, shows us how Sutherland's seemingly offhand idea grew into a multibillion dollar industry. In Moving Innovation, Tom Sito—himself an animator and industry insider for more than thirty years—describes the evolution of CG. His story features a memorable cast of characters—math nerds, avant-garde artists, cold warriors, hippies, video game enthusiasts, and studio executives: disparate types united by a common vision. Sito shows us how fifty years of work by this motley crew made movies like Toy Story and Avatar possible. |
| computer graphics through key mathematics: Technology in Mathematics Education: Contemporary Issues Dragana Martinovic, Douglas McDougall, Zerkeriya Karadag, 2012 |
| computer graphics through key mathematics: Computer Graphics Er. Nagesh Jaitak, 2013-02-13 Computer graphics is a field of computer science, which deals with creation, representation and management of images on the computer screen. Computer graphics deals with the technological and theoretical aspects of computerized image synthesis. An image created by a computer can illustrate a simple scene as well as complex scenes. |
| computer graphics through key mathematics: Concise Computer Mathematics Ovidiu Bagdasar, 2013-11-12 Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree. The text reflects the need to quickly introduce students from a variety of educational backgrounds to a number of essential mathematical concepts. The material is divided into four units: discrete mathematics (sets, relations, functions), logic (Boolean types, truth tables, proofs), linear algebra (vectors, matrices and graphics), and special topics (graph theory, number theory, basic elements of calculus). The chapters contain a brief theoretical presentation of the topic, followed by a selection of problems (which are direct applications of the theory) and additional supplementary problems (which may require a bit more work). Each chapter ends with answers or worked solutions for all of the problems. |
| computer graphics through key mathematics: Foundation Mathematics for Computer Science John Vince, 2015-08-07 John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts. |
Computer | Definition, History, Operating Systems, & Facts
A computer is a programmable device for processing, storing, and displaying information. Learn more in this article about modern digital electronic …
Computer - History, Technology, Innovation | Brit…
Computer - History, Technology, Innovation: A computer might be described with deceptive simplicity as “an apparatus that performs routine …
Computer - Technology, Invention, History | Britannica
Apr 14, 2025 · Computer - Technology, Invention, History: By the second decade of the 19th century, a number of ideas necessary for the invention …
computer - Kids | Britannica Kids | Homework Help
A computer is a device for working with information. The information can be numbers, words, pictures, movies, or sounds. Computer information is …
Personal computer (PC) | Definition, History, & Facts
6 days ago · Personal computer, a digital computer designed for use by only one person at a time. A typical personal computer assemblage …
Computer | Definition, History, Operating Systems, & Facts
A computer is a programmable device for processing, storing, and displaying information. Learn more in this article about modern digital electronic …
Computer - History, Technology, Innovation | Brit…
Computer - History, Technology, Innovation: A computer might be described with deceptive simplicity as “an apparatus that performs routine …
Computer - Technology, Invention, History | Britannica
Apr 14, 2025 · Computer - Technology, Invention, History: By the second decade of the 19th century, a number of ideas necessary for the invention …
computer - Kids | Britannica Kids | Homework Help
A computer is a device for working with information. The information can be numbers, words, pictures, movies, or sounds. Computer information is …
Personal computer (PC) | Definition, History, & Facts
6 days ago · Personal computer, a digital computer designed for use by only one person at a time. A typical personal computer assemblage …
