Author : Alexandre Hardy
Publisher : World Scientific
Page : 494 pages
File Size : 38,44 MB
Release : 2008
Category : 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
Page : 494 pages
File Size : 13,26 MB
Release : 2008-01-04
Category : 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 : Philip Schneider
Publisher : Elsevier
Page : 1053 pages
File Size : 33,46 MB
Release : 2002-10-10
Category : 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 : H.-C. Hege
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 47,29 MB
Release : 2013-03-09
Category : 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 : Geoffrey R. Goodson
Publisher : Cambridge University Press
Page : 419 pages
File Size : 24,9 MB
Release : 2017
Category : 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
Page : 315 pages
File Size : 13,40 MB
Release : 2012-12-06
Category : 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 : Samuel R. Buss
Publisher : Cambridge University Press
Page : 397 pages
File Size : 14,3 MB
Release : 2003-05-19
Category : Computers
ISBN : 1139440381
This textbook, first published in 2003, emphasises the fundamentals and the mathematics underlying computer graphics. The minimal prerequisites, a basic knowledge of calculus and vectors plus some programming experience in C or C++, make the book suitable for self study or for use as an advanced undergraduate or introductory graduate text. The author gives a thorough treatment of transformations and viewing, lighting and shading models, interpolation and averaging, Bézier curves and B-splines, ray tracing and radiosity, and intersection testing with rays. Additional topics, covered in less depth, include texture mapping and colour theory. The book covers some aspects of animation, including quaternions, orientation, and inverse kinematics, and includes source code for a Ray Tracing software package. The book is intended for use along with any OpenGL programming book, but the crucial features of OpenGL are briefly covered to help readers get up to speed. Accompanying software is available freely from the book's web site.
Author : Willi-hans Steeb
Publisher : World Scientific Publishing Company
Page : 642 pages
File Size : 39,51 MB
Release : 2011-03-16
Category : Science
ISBN : 9813100702
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 150 ready to run programs are included. New topics added to the fifth edition are Langton's ant, chaotic data communication, self-controlling feedback, differential forms and optimization, T-norms and T-conorms with applications.
Author : James D. Foley
Publisher : Addison-Wesley Professional
Page : 1294 pages
File Size : 27,34 MB
Release : 1996
Category : Computers
ISBN : 9780201848403
On computer graphics
Author : John Vince
Publisher : Springer Nature
Page : 387 pages
File Size : 40,16 MB
Release : 2023-04-18
Category : 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.
