Mathematical Tools In Computer Graphics With C Implementations
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| Author | : Alexandre Hardy |
| Publisher | : World Scientific |
| Total Pages | : 494 |
| Release | : 2008 |
| Genre | : Computers |
| ISBN | : 9812791027 |
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.
| Author | : Alexandre Hardy |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 494 |
| Release | : 2008-01-04 |
| Genre | : Computers |
| ISBN | : 9813101377 |
Mathematics is vital for an understanding of computer graphics. This volume helps the reader gain such an understanding by presenting all introductory and most advanced topics in the field of computer graphics with mathematical descriptions and derivations. Offering a balance of theory, applications, and code, the underlying numerical methods and algorithms are derived and a large number of examples are given. The book begins with a discussion of basic graphics tools such as vectors, matrices, and quaternions, and then builds up to more advanced topics such as the intersection of three-dimensional objects. Both classical and newer topics, such as parameterization, wavelets, fractals, and geometry images, are covered. In particular, the book contains all of the classes in C# necessary for computer graphics, providing a full explanation of the C# code and C# implementations for almost all algorithms.
| Author | : H.-C. Hege |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 398 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662035677 |
Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.
| Author | : Philip Schneider |
| Publisher | : Elsevier |
| Total Pages | : 1053 |
| Release | : 2002-10-10 |
| Genre | : Computers |
| ISBN | : 0080478026 |
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.
| Author | : Geoffrey R. Goodson |
| Publisher | : Cambridge University Press |
| Total Pages | : 419 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 1107112672 |
This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.
| Author | : Georg Glaeser |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 315 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 1461226643 |
Illustrating the use of C, with stress on portability and speed, this book provides a mathematical background to techniques in computer graphics, before going on to develop a graphics program in C implementing these techniques. As a result, both students and professionals will find this presentation gives them a thorough understanding of the most fundamental algorithms in graphics programming, as well as providing them with a usable graphics package. Georg Glaeser covers such hot topics as hidden surfaces, shadows, reflections, patterns, and modelling curves and surfaces. Readers are assumed to be moderately familiar with programming, although all type definitions, global variables, and macros are thoroughly described prior to their first applications.
| Author | : Gabriel Gambetta |
| Publisher | : No Starch Press |
| Total Pages | : 250 |
| Release | : 2021-05-13 |
| Genre | : Computers |
| ISBN | : 1718500769 |
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.
| Author | : Willi-hans Steeb |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 683 |
| Release | : 2014-11-14 |
| Genre | : Science |
| ISBN | : 9814583499 |
The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 160 ready to run programs are included. Each chapter provides a collection of interesting problems. New topics added to the 6th edition are Swarm Intelligence, Quantum Cellular Automata, Hidden Markov Model and DNA, Birkhoff's ergodic theorem and chaotic maps, Banach fixed point theorem and applications, tau-wavelets of Haar, Boolean derivatives and applications, and Cartan forms and Lagrangian.
| Author | : James D. Foley |
| Publisher | : Addison-Wesley Professional |
| Total Pages | : 1294 |
| Release | : 1996 |
| Genre | : Computers |
| ISBN | : 9780201848403 |
| Author | : John Vince |
| Publisher | : Springer Nature |
| Total Pages | : 387 |
| Release | : 2023-04-18 |
| Genre | : Computers |
| ISBN | : 3031281179 |
Students studying different branches of computer graphics need to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces. And as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. In this 3rd edition, the author extends the scope of the original book to include vector differential operators and differential equations and draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples and almost two hundred colour illustrations. This book complements the author’s other books on mathematics for computer graphics and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation.
