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

3D Math Primer for Graphics and Game Development, 2nd Edition
Author: Fletcher Dunn
Publisher: CRC Press
Total Pages: 848
Release: 2011-11-02
Genre: Computers
ISBN: 1568817231

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.

Essential Mathematics for Games and Interactive Applications

Essential Mathematics for Games and Interactive Applications
Author: James M. Van Verth
Publisher: CRC Press
Total Pages: 690
Release: 2008-05-19
Genre: Computers
ISBN: 008087861X

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 3D Game Programming and Computer Graphics

Mathematics for 3D Game Programming and Computer Graphics
Author: Eric Lengyel
Publisher:
Total Pages:
Release: 2020-08
Genre:
ISBN: 9780357671092

Sooner or later, all game programmers run into coding issues that require an understanding of mathematics or physics concepts such as collision detection, 3D vectors, transformations, game theory, or basic calculus. Unfortunately, most programmers frequently have a limited understanding of these essential mathematics and physics concepts. MATHEMATICS AND PHYSICS FOR PROGRAMMERS, THIRD EDITION provides a simple but thorough grounding in the mathematics and physics topics that programmers require to write algorithms and programs using a non-language-specific approach. Applications and examples from game programming are included throughout, and exercises follow each chapter for additional practice. The book's companion website provides sample code illustrating the mathematical and physics topics discussed in the book.

3D Graphics for Game Programming

3D Graphics for Game Programming
Author: JungHyun Han
Publisher: CRC Press
Total Pages: 325
Release: 2011-02-17
Genre: Computers
ISBN: 1439827389

Designed for advanced undergraduate and beginning graduate courses, 3D Graphics for Game Programming presents must-know information for success in interactive graphics. Assuming a minimal prerequisite understanding of vectors and matrices, it also provides sufficient mathematical background for game developers to combine their previous experie

Basic Math for Game Development with Unity 3D

Basic Math for Game Development with Unity 3D
Author: Kelvin Sung
Publisher: Apress
Total Pages: 414
Release: 2019-12-05
Genre: Computers
ISBN: 1484254430

Use Unity-based examples to understand fundamental mathematical concepts and see how they are applied when building modern video game functionality. You will gain the theoretical foundation you need, and you will know how to examine and modify an implementation. This book covers points in a 3D Cartesian coordinate system, and then discusses vectors and the details of dot and cross products. Basic mathematical foundations are illustrated through Unity-based example implementations. Also provided are examples showing how the concepts are applied when implementing video game functionality, such as collision support, motion simulations, autonomous behaviors, shadow approximations, and reflection off arbitrary walls. Throughout this book, you learn and examine the concepts and their applications in a game engine. What You Will Learn Understand the basic concepts of points and vectors and their applications in game developmentApply mathematical concepts to modern video game functionality, such as spherical and box collidersImplement autonomous behaviors, including following way points, facing a target, chasing an object, etc. Who This Book is For Beginners, and those interested in the implementation of interactive games, who need a basic mathematical background or a refresher with modern examples

3D Game Engine Design

3D Game Engine Design
Author: David Eberly
Publisher: CRC Press
Total Pages: 1008
Release: 2006-11-03
Genre: Art
ISBN: 1482267306

The first edition of 3D Game Engine Design was an international bestseller that sold over 17,000 copies and became an industry standard. In the six years since that book was published, graphics hardware has evolved enormously. Hardware can now be directly controlled through techniques such as shader programming, which requires an entirely new thought process of a programmer. In a way that no other book can do, this new edition shows step by step how to make a shader-based graphics engine and how to tame this new technology. Much new material has been added, including more than twice the coverage of the essential techniques of scene graph management, as well as new methods for managing memory usage in the new generation of game consoles and portable game players. There are expanded discussions of collision detection, collision avoidance, and physics—all challenging subjects for developers. The mathematics coverage is now focused towards the end of the book to separate it from the general discussion. As with the first edition, one of the most valuable features of this book is the inclusion of Wild Magic, a commercial quality game engine in source code that illustrates how to build a real-time rendering system from the lowest-level details all the way to a working game. Wild Magic Version 4 consists of over 300,000 lines of code that allows the results of programming experiments to be seen immediately. This new version of the engine is fully shader-based, runs on Windows XP, Mac OS X, and Linux, and is only available with the purchase of the book.

Beginning Math and Physics for Game Programmers

Beginning Math and Physics for Game Programmers
Author: Wendy Stahler
Publisher: New Riders
Total Pages: 508
Release: 2004
Genre: Computers
ISBN: 9780735713901

Whether one is a hobbyist or a budding game design pro, the objective is probably the same: to create the coolest games possible using today's increasingly sophisticated technology. Through clear, step-by-step instructions, author Wendy Stahler covers the trigonometry snippets, vector operations, and 1D/2D/3D motion designers need to improve their level of game development.

User Manual for the Interactive Geometry Software Cinderella

User Manual for the Interactive Geometry Software Cinderella
Author: Jürgen Richter-Gebert
Publisher: Springer Science & Business Media
Total Pages: 153
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642583180

Cinderella is a unique, technically very sophisticated teachware for geometry that will be used as a tool by students learning Euclidean, projective, spherical and hyperbolic geometry, as well as in geometric research. Moreover, it can also serve as an authors' tool to design web pages with interactive constructions or even complete geometry exercises.

Computer Graphics from Scratch

Computer Graphics from Scratch
Author: Gabriel Gambetta
Publisher: No Starch Press
Total Pages: 250
Release: 2021-05-13
Genre: Computers
ISBN: 1718500769

Computer Graphics from Scratch demystifies the algorithms used in modern graphics software and guides beginners through building photorealistic 3D renders. Computer graphics programming books are often math-heavy and intimidating for newcomers. Not this one. Computer Graphics from Scratch takes a simpler approach by keeping the math to a minimum and focusing on only one aspect of computer graphics, 3D rendering. You’ll build two complete, fully functional renderers: a raytracer, which simulates rays of light as they bounce off objects, and a rasterizer, which converts 3D models into 2D pixels. As you progress you’ll learn how to create realistic reflections and shadows, and how to render a scene from any point of view. Pseudocode examples throughout make it easy to write your renderers in any language, and links to live JavaScript demos of each algorithm invite you to explore further on your own. Learn how to: Use perspective projection to draw 3D objects on a 2D plane Simulate the way rays of light interact with surfaces Add mirror-like reflections and cast shadows to objects Render a scene from any camera position using clipping planes Use flat, Gouraud, and Phong shading to mimic real surface lighting Paint texture details onto basic shapes to create realistic-looking objects Whether you’re an aspiring graphics engineer or a novice programmer curious about how graphics algorithms work, Gabriel Gambetta’s simple, clear explanations will quickly put computer graphics concepts and rendering techniques within your reach. All you need is basic coding knowledge and high school math. Computer Graphics from Scratch will cover the rest.

3D Math Primer for Graphics and Game Development

3D Math Primer for Graphics and Game Development
Author: Fletcher Dunn
Publisher: CRC Press
Total Pages: 848
Release: 2011-11-02
Genre: Computers
ISBN: 1498759890

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