Mathematics for 3D Game Programming and Computer Graphics
Mathematics for 3D Game Programming and Computer Graphics

Author: Eric Lengyel

Publisher:

Published: 2020-08

Total Pages:

ISBN-13: 9780357671092

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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 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

Published: 2011-11-02

Total Pages: 848

ISBN-13: 1568817231

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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 Graphics for Game Programming
3D Graphics for Game Programming

Author: JungHyun Han

Publisher: CRC Press

Published: 2011-02-17

Total Pages: 325

ISBN-13: 1439827389

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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

3D Art Essentials
3D Art Essentials

Author: Ami Chopine

Publisher: Taylor & Francis

Published: 2012-08-06

Total Pages: 290

ISBN-13: 113613221X

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Create high-quality 3D animations and models by using the basic concepts and principles of 3D art presented by GeekAtPlay.com's Ami Chopine. This handy studio reference breaks down the core concepts into easy-to-understand segments and teaches you the 'why' in addition to the 'how.' Using application agnostic step-by-step tutorials, this book teaches you how to model, pose, and texture your creations as well as scenery creation, animation, and rendering. Learn which applications are best for your needs and how you can get started making money in the 3D field. The companion website includes video tutorials, models, project files, and other resources. This book is endorsed by Daz3d.com and includes exclusive Daz3d models.

Essential Mathematics for Games and Interactive Applications
Essential Mathematics for Games and Interactive Applications

Author: James M. Van Verth

Publisher: CRC Press

Published: 2008-05-19

Total Pages: 706

ISBN-13: 0123742978

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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.

3D Game Engine Design
3D Game Engine Design

Author: David Eberly

Publisher: CRC Press

Published: 2006-11-03

Total Pages: 1008

ISBN-13: 1482267306

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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.

Computer Graphics from Scratch
Computer Graphics from Scratch

Author: Gabriel Gambetta

Publisher: No Starch Press

Published: 2021-05-13

Total Pages: 250

ISBN-13: 1718500769

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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 Computer Graphics
3D Computer Graphics

Author: Samuel R. Buss

Publisher: Cambridge University Press

Published: 2003-05-19

Total Pages: 397

ISBN-13: 1139440381

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This textbook, first published in 2003, emphasises the fundamentals and the mathematics underlying computer graphics. The minimal prerequisites, a basic knowledge of calculus and vectors plus some programming experience in C or C++, make the book suitable for self study or for use as an advanced undergraduate or introductory graduate text. The author gives a thorough treatment of transformations and viewing, lighting and shading models, interpolation and averaging, Bézier curves and B-splines, ray tracing and radiosity, and intersection testing with rays. Additional topics, covered in less depth, include texture mapping and colour theory. The book covers some aspects of animation, including quaternions, orientation, and inverse kinematics, and includes source code for a Ray Tracing software package. The book is intended for use along with any OpenGL programming book, but the crucial features of OpenGL are briefly covered to help readers get up to speed. Accompanying software is available freely from the book's web site.