Mathematical structures for computer graphics
This book is for readers who wish to understand the mathematical tools that are necessary to produce three-dimensional models and the resulting screen images. Written by an academic with over 20 years of teaching experience, the intent of the book is to show relevant and focused mathematical derivat...
| Otros Autores: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Hoboken, New Jersey :
Wiley
2015.
|
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009684435006719 |
Tabla de Contenidos:
- Preface iii
- 1 Basics
- 1 1.1 Graphics Pipeline
- 2 1.2 Mathematical Descriptions
- 5 1.3 Position
- 6 1.4 Distance
- 9 1.5 Complements and Detail
- 13 1.6 Exercises
- 17 2 Vector Algebra
- 21 2.1 Basic Vector Characteristics
- 22 2.2 Two Important Products
- 31 2.3 Complements and Details
- 42 2.4 Exercises
- 46 3 Vector Geometry
- 49 3.1 Lines & Planes
- 49 3.2 Distances
- 55 3.3 Angles
- 63 3.4 Intersections
- 65 3.5 Additional Key Applications
- 73 3.6 Homogeneous Coordinates
- 86 3.7 Complements and Details
- 90 3.8 Exercises
- 94 4 Transformations
- 99 4.1 Types of Transformations
- 100 4.2 Linear Transformations
- 101 4.3 Three dimensions
- 113 4.4 Affine Transformations
- 123 4.5 Complements and Details
- 134 4.6 Exercises
- 145 5 Orientation
- 149 5.1 Cartesian Coordinate Systems
- 151 5.2 Cameras
- 159 5.3 Other Coordinate Systems
- 182 5.4 Complements and Details
- 190 5.5 Exercises
- 193 6 Polygons & Polyhedra
- 197 6.1 Triangles
- 197 6.2 Polygons
- 213 6.3 Polyhedra
- 230 6.4 Complements and Details
- 245 6.5 Exercises
- 250 7 Curves & Surfaces
- 255 7.1 Curve Descriptions
- 256 7.2 Bezier Curves
- 268 7.3 B-Splines
- 278 7.4 NURBS
- 295 7.5 Surfaces
- 300 7.6 Complements and Details
- 311 7.7 Exercises
- 316 8 Visibility
- 321 8.1 Viewing
- 321 8.2 Perspective Transformation
- 323 8.3 Hidden Surfaces
- 333 8.4 Ray Tracing
- 344 8.5 Complements and Details
- 351 8.6 Exercises
- 356 9 Lighting
- 359 9.1 Color Coordinates
- 359 9.2 Elementary Lighting Models
- 364 9.3 Global Illumination
- 384 9.4 Textures
- 391 9.5 Complements and Details
- 403 9.6 Exercises
- 408 10 Other Paradigms
- 411 10.1 Pixels
- 412 10.2 Noise
- 421 10.3 L-Systems
- 435 10.4 Exercises
- 443 A Geometry & Trigonometry
- 447 A.1 Triangles
- 447 A.2 Angles
- 449 A.3 Trigonometric Functions
- 450 B Linear Algebra
- 455 B.1 Systems of Linear Equations
- 455 B.2 Matrix Properties
- 458 B.3 Vector Spaces 460.
