A comprehensive guide to exploring the essential mathematics required for creating, rendering, and manipulating 3D virtual environments Key Features * Get acquainted with the essential mathematics needed to describe, simulate, and render 3D creations * Be able to construct and manipulate 3D animated environments using Python, Pygame, and PyOpenGL * Follow practical examples and complete exercises yourself to solidify mathematical concepts Book Description Mathematics is an essential skill when it comes to graphics and game development, particularly if you want to understand the generation of real-time computer graphics and the manipulation of objects and environments in more detail. Python, together with Pygame and PyOpenGL, provides the opportunity for today's developers to explore these features under the hood, revealing how computers generate and manipulate 3D environments. Mathematics for Game Programming and Computer Graphics is a comprehensive guide to getting "back to the basics" of mathematics, using a series of problem-based, practical exercises to explore ideas around drawing graphic lines and shapes, applying vectors and vertices, constructing and rendering meshes, working with vertex shaders, and implementing physics techniques like collisions and particle emitters. Using Python, Pygame, and PyOpenGL, you will create your own mathematical-based engine and API that will be used throughout to build applications and examples. By the end of this book, you will have a thorough understanding of how essential mathematics is to creating, rendering, and manipulating 3D virtual environments and know the secrets behind today's top graphics and game engines. What you will learn * Get up and running with Python, Pycharm, Pygame, and PyOpenGL * Experiment with different graphics API drawing commands * Review basic trigonometry and how it's important in 3D environments * Apply vectors and matrices to move, orient, and scale 3D objects * Create circles and spheres with parametric equations * Render 3D objects with textures, colors, shading, and lighting * Work with vertex shaders for faster GPU based rendering * Examine physics techniques like collisions and particle emitters Who This Book Is For This book is for programmers who want to better their 3D mathematics skills relating to computer graphics and computer games. A knowledge of high school level mathematics and a working understanding in an object-orientated language will be required.

Book Information
ISBN 9781801077330
Author Penny de Byl
Format Paperback
Page Count 337
Imprint Packt Publishing Limited
Publisher Packt Publishing Limited
Weight(grams) 75g