3D Math Primer for Graphics and Game Development 2nd Edition

Author: Fletcher Dunn
Publisher: CRC Press
ISBN: 9781568817231
Release Date: 2011-11-02
Genre: Computers

This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

3D Math Primer for Graphics and Game Development 2nd Edition

Author: Fletcher Dunn
Publisher: CRC Press
ISBN: 9781439869819
Release Date: 2011-11-02
Genre: Computers

This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

3D Math Primer for Graphics and Game Development

Author: Fletcher Dunn
Publisher: Jones & Bartlett Publishers
ISBN: 9781449612719
Release Date: 2010-10-22
Genre: Computers

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.

Essential Mathematics for Games and Interactive Applications

Author: James M. Van Verth
Publisher: CRC Press
ISBN: 9780123742971
Release Date: 2008-05-19
Genre: Art

Essential Mathematics for Games and Interactive Applications, 2nd edition presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix multiplication and expands on this foundation to cover such topics as color and lighting, interpolation, animation and basic game physics. Essential Mathematics focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout. The new edition Windows code will now use Visual Studio.NET. There will also be DirectX support provided, along with OpenGL - due to its cross-platform nature. Programmers will find more concrete examples included in this edition, as well as additional information on tuning, optimization and robustness. The book has a companion CD-ROM with exercises and a test bank for the academic secondary market, and for main market: code examples built around a shared code base, including a math library covering all the topics presented in the book, a core vector/matrix math engine, and libraries to support basic 3D rendering and interaction.

Mathematics for Computer Graphics

Author: John A. Vince
Publisher: Springer Science & Business Media
ISBN: 1849960232
Release Date: 2010-01-26
Genre: Computers

John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD, and other areas of computer graphics. Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed. All the key areas are covered including: Numbers, Algebra, Trigonometry, Coordinate geometry, Transforms, Vectors, Curves and surfaces, Barycentric coordinates, Analytic geometry. Plus – and unusually in a student textbook – a chapter on geometric algebra is included.

Mathematics for 3D Game Programming and Computer Graphics Third Edition

Author: Eric Lengyel
Publisher: Cengage Learning
ISBN: 9781435458871
Release Date: 2012
Genre: Computer games

This updated third edition addresses the mathematical skills that a programmer needs to develop a 3D game engine and computer graphics for professional-level games. MATHEMATICS FOR 3D GAME PROGRAMMING & COMPUTER GRAPHICS, THIRD EDITION is suitable for adv

Mathematics for Game Developers

Author: Christopher Tremblay
Publisher: Course Technology
ISBN: UOM:39015059310220
Release Date: 2004
Genre: Computers

Mathematics for Game Developers is just that—a math book designed specifically for the game developer, not the mathematician. As a game developer, you know that math is a fundamental part of your programming arsenal. In order to program a game that goes beyond the basics, you must first master concepts such as matrices and vectors. In this book, you will find some unique solutions for dealing with real problems you'll face when programming many types of 3D games. Not only will you learn how to solve these problems, you'll also learn why the solution works, enabling you to apply that solution to other problems. You'll also learn how to leverage software to help solve algebraic equations. Through numerous examples, this book clarifies how mathematical ideas fit together and how they apply to game programming.

Mathematics for Computer Graphics Applications

Author: Michael E. Mortenson
Publisher: Industrial Press Inc.
ISBN: 083113111X
Release Date: 1999-01-01
Genre: Computers

This completely revised Second Edition of "Computer Graphics" includes valuable information on major organizational changes within the last few years. This edition brings to the fore the basic mathematical tools of computer graphics, including vectors, matrices, and transformations. Additionally, it provides a strong, comprehensive base in exploring math, computer science, physics, engineering, and in special subjects such as algebraic and computational geometry, geometric modeling, and CAD/CAM. A highly diversified book that can be utilized as a primary textbook, supplemental teaching resource, individual tutorial, or key reference text. Includes new chapters on symmetry, limit and continuity, constructive solid geometry, and the Bezier curve. Provides many new figures and exercises. Contains an annotated suggested reading list with exercises and answers in each chapter. Appeals to both academics and professionals. Offers a new solutions manual for instructors.

Introduction to Computer Graphics

Author: Fabio Ganovelli
Publisher: CRC Press
ISBN: 9781439852798
Release Date: 2014-10-17
Genre: Computers

Teach Your Students How to Create a Graphics Application Introduction to Computer Graphics: A Practical Learning Approach guides students in developing their own interactive graphics application. The authors show step by step how to implement computer graphics concepts and theory using the EnvyMyCar (NVMC) framework as a consistent example throughout the text. They use the WebGL graphics API to develop NVMC, a simple, interactive car racing game. Each chapter focuses on a particular computer graphics aspect, such as 3D modeling and lighting. The authors help students understand how to handle 3D geometric transformations, texturing, complex lighting effects, and more. This practical approach leads students to draw the elements and effects needed to ultimately create a visually pleasing car racing game. The code is available at www.envymycarbook.com

Computer Graphics

Author: Patricia A. Egerton
ISBN: UOM:39015040169693
Release Date: 1998
Genre: Computers

Computer Graphics - First Mathematical Steps will help students to master basic Computer Graphics and the mathematical concepts which underlie this subject. They will be led to develop their own skills, and appreciate Computer Graphics techniques in both two and three dimensions. The presentation of the text is methodical, systematic and gently paced - everything translates into numbers and simple ideas. Sometimes students experience difficulty in understanding some of the mathematics in standard Computer Graphics books; this book can serve as a good introduction to more advanced texts. It starts from first principles and is sympathetically written for those with a limited mathematical background. Computer Graphics - First Mathematical Steps is suitable for supporting undergraduate programmes in Computers and also the newer areas of Computer Graphics and Visualization. It is appropriate for post-graduate conversion courses which develop expertise in Computer Graphics and CAD. It can also be used for enrichment topics for high-flying pre-college students, and for refresher/enhancement courses for computer graphics technicians.

2D Graphics Programming for Games

Author: John Pile,Jr.
Publisher: CRC Press
ISBN: 9781466501904
Release Date: 2016-04-19
Genre: Computers

The success of Angry Birds, Peggle, and Fruit Ninja has proven that fun and immersive game experiences can be created in two dimensions. Furthermore, 2D graphics enable developers to quickly prototype ideas and mechanics using fewer resources than 3D. 2D Graphics Programming for Games provides an in-depth single source on creating 2D graphics that can be easily applied to many game platforms, including iOS, Android, Xbox 360, and the PlayStation Suite. The author presents examples not only from video games but also from art and animated film. The book helps new programmers learn the concepts and techniques used to produce appealing 2D graphics. It starts with the basics and then covers topics pertaining to motion and depth, such as cel animation, tiling, and layering. The text also describes advanced graphics, including the use of particle systems, shaders, and splines. Code samples in the text and online allow readers to see a particular line of code in action or as it relates to the code around it. In addition, challenges and suggested projects encourage readers to work through problems, experiment with solutions, and tinker with code. Full of practical tools and tricks, this color book gives novices in-depth guidance on making professional, high-quality graphics for games. It also improves the relationship between programmers and artists by explaining how certain art and design challenges can be solved with a programmatic solution.

Game Physics

Author: David H. Eberly
Publisher: Morgan Kaufmann
ISBN: 9780080964072
Release Date: 2010-04-20
Genre: Computers

"Game Physics, 2nd Edition" provides clear descriptions of the mathematics and algorithms needed to create a powerful physics engine - while providing a solid reference for all of the math you will encounter anywhere in game development: quaternions, linear algebra, and calculus. Implementing physical simulations for real-time games is a complex task that requires a solid understanding of a wide range of concepts from the fields of mathematics and physics. Previously, the relevant information could only be gleaned through obscure research papers. Thanks to "Game Physics", all this information is now available in a single, easily accessible volume. The new 2nd edition is the much-anticipated update that incorporates new info on how to implement a classic rigid-body physics engine, as well as new coverage of ragdoll physics, PLUS a new chapter on Physics Luminaries and their contributions (Ronald Fedkiw, Jos Stam, and James O'Brien). The CD will contain Wild Magic 5, a large software package for graphics, physics, and related topics. Also, Eberly's associated web site will support the book and CD: www.geometrictools.com. --Much-anticipated 2nd edition offers valuable new applications of particle systems, fluids, and gases. --CD with Wild Magic physics engine, C++ source code that supports the simulations in the book, plus sample apps, and exercises. --Books tackles the complex, challenging issues that other books avoid - and provides a solid, comprehensive math resource for game developers.

Physics for Game Developers

Author: David M. Bourg
Publisher: "O'Reilly Media, Inc."
ISBN: 0596000065
Release Date: 2002
Genre: Games

Offers advice for using physics concepts to increase the realism of computer games, covering mechanics, real-world situations, and real-time simulations.

Mathematics and Physics for Programmers

Author: Danny Kodicek
Publisher: Cengage Learning
ISBN: 9781584506447
Release Date: 2005-01-01
Genre: Computers

Many programmers frequently have limited backgrounds in the mathematics and physics needed for game development or other complex applications. Sooner or later, all programmers run into coding issues that will require an understanding of mathematics or phy

Practical Algorithms for 3D Computer Graphics Second Edition

Author: R. Stuart Ferguson
Publisher: CRC Press
ISBN: 9781466582521
Release Date: 2013-12-19
Genre: Computers

Practical Algorithms for 3D Computer Graphics, Second Edition covers the fundamental algorithms that are the core of all 3D computer graphics software packages. Using Core OpenGL and OpenGL ES, the book enables you to create a complete suite of programs for 3D computer animation, modeling, and image synthesis. Since the publication of the first edition, implementation aspects have changed significantly, including advances in graphics technology that are enhancing immersive experiences with virtual reality. Reflecting these considerable developments, this second edition presents up-to-date algorithms for each stage in the creative process. It takes you from the construction of polygonal models of real and imaginary objects to rigid body animation and hierarchical character animation to the rendering pipeline for the synthesis of realistic images. New to the Second Edition New chapter on the modern approach to real-time 3D programming using OpenGL New chapter that introduces 3D graphics for mobile devices New chapter on OpenFX, a comprehensive open source 3D tools suite for modeling and animation Discussions of new topics, such as particle modeling, marching cubes, and techniques for rendering hair and fur More web-only content, including source code for the algorithms, video transformations, comprehensive examples, and documentation for OpenFX The book is suitable for newcomers to graphics research and 3D computer games as well as more experienced software developers who wish to write plug-in modules for any 3D application program or shader code for a commercial games engine.