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Author Janke, Steven J
Title Mathematical Structures for Computer Graphics
Imprint New York : John Wiley & Sons, Incorporated, 2014
©2015
book jacket
Edition 1st ed
Descript 1 online resource (889 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Cover -- Title Page -- Copyright -- Dedication -- Preface -- Chapter 1: Basics -- 1.1 Graphics Pipeline -- 1.2 Mathematical Descriptions -- 1.3 Position -- 1.4 Distance -- 1.5 Complements and Details -- 1.6 Exercises -- Chapter 2: Vector Algebra -- 2.1 Basic Vector Characteristics -- 2.2 Two Important Products -- 2.3 Complements and Details -- 2.4 Exercises -- Chapter 3: Vector Geometry -- 3.1 Lines and Planes -- 3.2 Distances -- 3.3 Angles -- 3.4 Intersections -- 3.5 Additional Key Applications -- 3.6 Homogeneous Coordinates -- 3.7 Complements and Details -- 3.8 Exercises -- Chapter 4: Transformations -- 4.1 Types of Transformations -- 4.2 Linear Transformations -- 4.3 Three Dimensions -- 4.4 Affine Transformations -- 4.5 Complements and Details -- 4.6 Exercises -- Chapter 5: Orientation -- 5.1 Cartesian Coordinate Systems -- 5.2 Cameras -- 5.3 Other Coordinate Systems -- 5.4 Complements and Details -- 5.5 Exercises -- Chapter 6: Polygons and Polyhedra -- 6.1 Triangles -- 6.2 Polygons -- 6.3 Polyhedra -- 6.4 Complements and Details -- 6.5 Exercises -- Chapter 7: Curves and Surfaces -- 7.1 Curve Descriptions -- 7.2 Bézier Curves -- 7.3 B-splines -- 7.4 Nurbs -- 7.5 Surfaces -- 7.6 Complements and Details -- 7.7 Exercises -- Chapter 8: Visibility -- 8.1 Viewing -- 8.2 Perspective Transformation -- 8.3 Hidden Surfaces -- 8.4 Ray Tracing -- 8.5 Complements and Details -- 8.6 Exercises -- Chapter 9: Lighting -- 9.1 Color Coordinates -- 9.2 Elementary Lighting Models -- 9.3 Global Illumination -- 9.4 Textures -- 9.5 Complements and Details -- 9.6 Exercises -- Chapter 10: Other Paradigms -- 10.1 Pixels -- 10.2 Noise -- 10.3 L-Systems -- 10.4 Exercises -- Appendix A: Geometry and Trigonometry -- A.1 Triangles -- A.2 Angles -- A.3 Trigonometric Functions -- Appendix B: Linear Algebra -- B.1 Systems of Linear Equations -- B.2 Matrix Properties
B.3 Vector Spaces -- References -- Index -- End User License Agreement
A comprehensive exploration of the mathematics behind the modeling and rendering of computer graphics scenes Mathematical Structures for Computer Graphics presents an accessible and intuitive approach to the mathematical ideas and techniques necessary for two- and three-dimensional computer graphics. Focusing on the significant mathematical results, the book establishes key algorithms used to build complex graphics scenes. Written for readers with various levels of mathematical background, the book develops a solid foundation for graphics techniques and fills in relevant graphics details often overlooked in the literature. Rather than use a rigid theorem/proof approach, the book provides a flexible discussion that moves from vector geometry through transformations, curve modeling, visibility, and lighting models. Mathematical Structures for Computer Graphics also includes: Numerous examples of two- and three-dimensional techniques along with numerical calculations Plenty of mathematical and programming exercises in each chapter, which are designed particularly for graphics tasks Additional details at the end of each chapter covering historical notes, further calculations, and connected concepts for readers who wish to delve deeper Unique coverage of topics such as calculations with homogeneous coordinates, computational geometry for polygons, use of barycentric coordinates, various descriptions for curves, and L-system techniques for recursive images Mathematical Structures for Computer Graphics is an excellent textbook for undergraduate courses in computer science, mathematics, and engineering, as well as an ideal reference for practicing engineers, researchers, and professionals in computer graphics fields. The book is also useful for those readers who wish to understand algorithms for producing their own interesting computer images
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Janke, Steven J. Mathematical Structures for Computer Graphics New York : John Wiley & Sons, Incorporated,c2014 9781118712191
Subject Computer graphics -- Mathematics.;Three-dimensional imaging -- Mathematics
Electronic books
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