3D Math Primer for Graphics and Game Development.djvu

Chapter 1 is the introduction, which you have almost finished reading. Hopefully, it has explained for whom this book is written and why we think you should read the rest of it. Chapter 2 explains the Cartesian coordinate system in 2D and 3D and discusses how the Car- Cartesian coordinate system is used to locate points in space. Chapter 3 discusses examples of coordinate spaces and how they are nested in a hierarchy. Chapter 4 introduces vectors and explains the geometric and mathematical interpretations of vectors. Chapter 5 discusses mathematical operations on vectors and explains the geometric interpre- interpretation of each operation. Chapter 6 provides a usable C++ 3D vector class. Chapter 7 introduces matrices from a mathematical and geometric perspective and shows how matrices can be used to perform linear transformations. Chapter 8 discusses different types of linear transformations and their corresponding matri- matrices in detail. Chapter 9 covers a few more interesting and useful properties of matrices. Chapter 10 discusses different techniques for representing orientation and angular displace- displacement in 3D. Chapter 1: Introduction Chapter 11 provides C++ classes for performing the math from Chapters 7 to 10. Chapter 12 introduces a number of geometric primitives and discusses how to represent and manipulate them mathematically. Chapter 13 presents an assortment of useful tests that can be performed on geometric primitives. Chapter 14 discusses how to store and manipulate triangle meshes and presents a C++ class designed to hold triangle meshes. Chapter 15 is a survey of computer graphics with special emphasis on key mathematical points. Chapter 16 discusses a number of techniques for visibility determination, an important issue in computer graphics. Chapter 17 reminds you to visit our web page and gives some suggestions for further reading.