Mathematical and Computer Programming Techniques for Computer Graphics

__Mathematical and Computer Programming Techniques for Computer Graphics__ introduces the mathematics and related computer programming techniques used in Computer Graphics. Starting with the underlying mathematical ideas, it gradually leads the reader to a sufficient understanding of the detail to be able to implement libraries and programs for 2D and 3D graphics. Using lots of code examples, the reader is encouraged to explore and experiment with data and computer programs (in the C programming language) and to master the related mathematical techniques. Written for students with a minimum prerequisite knowledge of mathematics, the reader should have had some basic exposure to topics such as functions, trigonometric functions, elementary geometry and number theory, and also to have some familiarity with computer programming languages such as C. The material presented in this book has been used successfully with final year undergraduate and masters students studying Computer Graphics and Computer Animation. A simple but effective set of routines are included, organised as a library, covering both 2D and 3D graphics – taking a parallel approach to mathematical theory, and showing the reader how to incorporate it into example programs. This approach both demystifies the mathematics and demonstrates its relevance to 2D and 3D computer graphics.

mathematical And Computer Programming Techniques For Computer Graphics Introduces The Mathematics And Related Computer Programming Techniques Used In Computer Graphics. Starting With The Underlying Mathematical Ideas, It Gradually Leads The Reader To A Sufficient Understanding Of The Detail To Be Able To Implement Libraries And Programs For 2d And 3d Graphics. Using Lots Of Code Examples, The Reader Is Encouraged To Explore And Experiment With Data And Computer Programs (in The C Programming Language) And To Master The Related Mathematical Techniques.

written For Students With A Minimum Prerequisite Knowledge Of Mathematics, The Reader Should Have Had Some Basic Exposure To Topics Such As Functions, Trigonometric Functions, Elementary Geometry And Number Theory, And Also To Have Some Familiarity With Computer Programming Languages Such As C. The Material Presented In This Book Has Been Used Successfully With Final Year Undergraduate And Masters Students Studying Computer Graphics And Computer Animation. A Simple But Effective Set Of Routines Are Included, Organised As A Library, Covering Both 2d And 3d Graphics – Taking A Parallel Approach To Mathematical Theory, And Showing The Reader How To Incorporate It Into Example Programs. This Approach Both Demystifies The Mathematics And Demonstrates Its Relevance To 2d And 3d Computer Graphics.

"Mathematical and Computer Programming Techniques for Computer Graphics introduces the mathematics and related computer programming techniques used in Computer Graphics. Starting with the underlying mathematical ideas, it gradually leads the reader to a sufficient understanding of the detail to be able to implement libraries and programs for 2D and 3D graphics. Using lots of code examples, the reader is encouraged to explore and experiment with data and computer programs (in the C programming language) and to master the related mathematical techniques."--Jacket Front Matter....Pages i-xxii Set Theory Survival Kit....Pages 3-63 Vector Algebra Survival Kit....Pages 65-113 Matrix Algebra Survival Kit....Pages 115-151 Vector Spaces or Linear Spaces....Pages 153-163 Two-Dimensional Transformations....Pages 165-192 Two-Dimensional Clipping....Pages 193-223 Three-Dimensional Transformations....Pages 225-252 Viewing and Projection Transformations....Pages 253-289 3D Rendering....Pages 291-316 Physically Based Lighting and Shading Models and Rendering Algorithms....Pages 317-421 Back Matter....Pages 423-547 Provides a comprehensive and detailed coverage of the fundamentals of programming techniques for computer graphics Uses lots of code examples, encouraging the reader to explore and experiment with data and computer programs (in the C programming language)