3D Math Primer for Graphics and Game DevelopmentJones & Bartlett Learning, 2002 - Всего страниц: 429 3D Math Primer For Graphics And Game Development Covers Fundamental 3D Math Concepts That Are Especially Useful For Computer Game Developers And Programmers. The Authors Discuss The Mathematical Theory In Detail And Then Provide The Geometric Interpretation Necessary To Make 3D Math Intuitive. Working C++ Classes Illustrate How To Put The Techniques Into Practice, And Exercises At The End Of Each Chapter Help Reinforce The Concepts. This Book Explains Basic Concepts Such As Vectors, Coordinate Spaces, Matrices, Transformations, Euler Angles, Homogenous Coordinates, Geometric Primitives, Intersection Tests, And Triangle Meshes. It Discusses Orientation In 3D, Including Thorough Coverage Of Quaternions And A Comparison Of The Advantages And Disadvantages Of Different Representation Techniques. The Text Describes Working C++ Classes For Mathematical And Geometric Entities And Several Different Matrix Classes, Each Tailored To Specific Geometric Tasks. Also Included Are Complete Derivations For All The Primitive Transformation Matrices. |
Содержание
Chapter 1 Introduction | 1 |
Chapter 2 The Cartesian Coordinate System | 5 |
Chapter 3 Multiple Coordinate Spaces | 23 |
Chapter 4 Vectors | 35 |
Chapter 5 Operations on Vectors | 45 |
Chapter 6 A Simple 3D Vector Class | 69 |
Chapter 7 Introduction to Matrices | 83 |
Chapter 8 Matrices and Linear Transformations | 101 |
Chapter 12 Geometric Primitives | 239 |
Chapter 13 Geometric Tests | 277 |
Chapter 14 Triangle Meshes | 319 |
Chapter 15 3D Math for Graphics | 345 |
Chapter 16 Visibility Determination | 385 |
Chapter 17 Afterword | 407 |
Appendix A Math Review | 409 |
| 415 | |
Chapter 9 More on Matrices | 125 |
Chapter 10 Orientation and Angular Displacement in 3D | 147 |
Chapter 11 Transformations in C++ | 195 |
Другие издания - Просмотреть все
3D Math Primer for Graphics and Game Development, 2nd Edition Fletcher Dunn,Ian Parberry Ограниченный просмотр - 2011 |
3D Math Primer for Graphics and Game Development, 2nd Edition Fletcher Dunn,Ian Parberry Ограниченный просмотр - 2011 |
3D Math Primer for Graphics and Game Development Dunn,Fletcher Dunn,Ian Parberry Ограниченный просмотр - 2002 |
Часто встречающиеся слова и выражения
3D math 3D vector AABB AABB3 algorithm angular displacement axes axis barycentric coordinates basic basis vectors bounding box box.min buffer camera space Cartesian Check clip plane clip space clockwise color column vectors compute const Vector3 coordinate space coordinate system counterclockwise cross product defined direction discuss distance dot product edge Euler angles example float function geometric Gouraud shading graphics grid inertial space interpolation intersection inverse linear algebra linear transformation magnitude mathematical matrix multiplication matrix to perform node notation object space operations orientation origin orthogonal parametric perpendicular pixel polygon position projection quadtree quaternion rendering represent result rotation matrix RotationMatrix scalar Section Setup the matrix shown in Figure specified sphere surface normal techniques texture mapping texture mapping coordinates translation portion triangle mesh triangle strips unit vector vector class vertex vertices view frustum void world space x-axis y-axis zero vector