Synopses & Reviews
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.
Synopsis
The demand for visualization, simulation, and entertainment software is growing rapidly. The 3D Math Printer covers the key mathematical principles used in 3D graphics, games, simulation, and computational geometry. In the past, programmers were forced to piece together this information from linear algebra textbooks or the Internet. These sources present some mathematical theory, but geometric intuition and application are left to the reader. The 3D Math Primer fills this gap, not only covering the mathematical theory in detail, but also adding the geometric interpretation necessary to make 3D math intuitive, and working C++ classes which illustrate how to put the techniques into practice. The companion web page (www.3dmathprimer.com) provides code downloads, interactive demos, links to other useful 3D resources, and errata. This unique title provides the mathematical background especially useful for computer game developers and programmers and is part of the Wordware Game Developer's Library.
Synopsis
This book covers fundamental 3D math concepts that are especially useful for computer game developers and programmers.