Mathematics for Computer Graphics

✍ Scribed by Prof. John Vince MTech, PhD, DSc, CEng, FBCS (auth.)

• Publisher: Springer London
• Year: 2010
• Tongue: English
• Leaves: 299
• Series: Undergraduate Topics in Computer Science
• Edition: 3rd ed.
• Category: Library

✦ Synopsis

John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD, and other areas of computer graphics. Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed. All the key areas are covered including: Numbers, Algebra, Trigonometry, Coordinate geometry, Transforms, Vectors, Curves and surfaces, Barycentric coordinates, Analytic geometry. Plus – and unusually in a student textbook – a chapter on geometric algebra is included.

✦ Table of Contents

Front Matter....Pages i-xv
Mathematics....Pages 1-3
Numbers....Pages 5-11
Algebra....Pages 13-19
Trigonometry....Pages 21-26
Cartesian Coordinates....Pages 27-34
Vectors....Pages 35-57
Transforms....Pages 59-117
Interpolation....Pages 119-133
Curves and Patches....Pages 135-160
Analytic Geometry....Pages 161-206
Barycentric Coordinates....Pages 207-235
Geometric Algebra....Pages 237-270
Worked Examples....Pages 271-288
Conclusion....Pages 289-289
Back Matter....Pages 291-293

✦ Subjects

Computer Graphics