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3d Math Primer For Graphics And Game Development

Autor: Fletcher Dunn
Publisher: Jones & Bartlett Publishers
ISBN: 1449612717
File Size: 23,90 MB
Format: PDF, Docs
Read: 1844
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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.

3d Math Primer For Graphics And Game Development 2nd Edition

Autor: Fletcher Dunn
Publisher: CRC Press
ISBN: 1568817231
File Size: 12,13 MB
Format: PDF, Kindle
Read: 4431
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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.

Essential Mathematics For Games And Interactive Applications

Autor: James M. Van Verth
Publisher: CRC Press
ISBN: 0123742978
File Size: 20,93 MB
Format: PDF
Read: 7944
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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.

Mathematics For 3d Game Programming And Computer Graphics

Autor: Eric Lengyel
Publisher: Nelson Education
ISBN: 1435458877
File Size: 7,21 MB
Format: PDF, ePub
Read: 5087
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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.

Quaternions For Computer Graphics

Autor: John Vince
Publisher: Springer Science & Business Media
ISBN: 9780857297600
File Size: 30,87 MB
Format: PDF, ePub
Read: 3151
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Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis. Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive. Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.

Mathematics For Computer Graphics

Autor: John Vince
Publisher: Springer Science & Business Media
ISBN: 1846282837
File Size: 12,59 MB
Format: PDF, ePub, Mobi
Read: 6769
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This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.

3d Computer Graphics

Autor: Samuel R. Buss
Publisher: Cambridge University Press
ISBN: 1139440381
File Size: 3,89 MB
Format: PDF, ePub, Docs
Read: 3264
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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.

3d Graphics For Game Programming

Autor: JungHyun Han
Publisher: CRC Press
ISBN: 1439827389
File Size: 27,68 MB
Format: PDF, ePub, Docs
Read: 3081
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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 experience in graphics API and shader programming with the background theory of computer graphics. Well organized and logically presented, this book takes its organizational format from GPU programming and presents a variety of algorithms for programmable stages along with the knowledge required to configure hard-wired stages. Easily accessible, it offers a wealth of elaborate 3D visual presentations and includes additional theoretical and technical details in separate shaded boxes and optional sections. Maintaining API neutrality throughout to maximize applicability, the book gives sample programs to assist in understanding. Full PowerPoint files and additional material, including video clips and lecture notes with all of the figures in the book, are available on the book’s website: http://media.korea.ac.kr/book

Mathematics For Game Developers

Autor: Christopher Tremblay
Publisher: Course Technology
ISBN:
File Size: 5,84 MB
Format: PDF
Read: 5398
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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.

Introduction To Game Physics With Box2d

Autor: Ian Parberry
Publisher: CRC Press
ISBN: 1315360616
File Size: 19,49 MB
Format: PDF, Docs
Read: 981
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Written by a pioneer of game development in academia, Introduction to Game Physics with Box2D covers the theory and practice of 2D game physics in a relaxed and entertaining yet instructional style. It offers a cohesive treatment of the topics and code involved in programming the physics for 2D video games. Focusing on writing elementary game physics code, the first half of the book helps you grasp the challenges of programming game physics from scratch, without libraries or outside help. It examines the mathematical foundation of game physics and illustrates how it is applied in practice through coding examples. The second half of the book shows you how to use Box2D, a popular open source 2D game physics engine. A companion website provides supplementary material, including source code and videos. This book helps you become a capable 2D game physics programmer through its presentation of both the theory and applications of 2D game physics. After reading the book and experimenting with the code samples, you will understand the basics of 2D game physics and know how to use Box2D to make a 2D physics-based game.

Foundations Of 3d Computer Graphics

Autor: Steven J. Gortler
Publisher: MIT Press
ISBN: 0262017350
File Size: 15,97 MB
Format: PDF
Read: 6017
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This book explains the fundamental concepts of 3D computer graphics. It introduces the basic algorithmic technology needed to produce 3D computer graphics, and covers such topics as understanding and manipulating 3D geometric transformations, camera transformations, the image-rendering process, and materials and texture mapping.

Curves And Surfaces For Computer Graphics

Autor: David Salomon
Publisher: Springer Science & Business Media
ISBN: 0387284524
File Size: 22,45 MB
Format: PDF, Kindle
Read: 8460
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Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes a gallery of color images and Mathematica code listings.

Game Engine Architecture Third Edition

Autor: Jason Gregory
Publisher: CRC Press
ISBN: 1351974289
File Size: 25,46 MB
Format: PDF
Read: 4832
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In this new and improved third edition of the highly popular Game Engine Architecture, Jason Gregory draws on his nearly two decades of experience at Midway, Electronic Arts and Naughty Dog to present both the theory and practice of game engine software development. In this book, the broad range of technologies and techniques used by AAA game studios are each explained in detail, and their roles within a real industrial-strength game engine are illustrated. New to the Third Edition This third edition offers the same comprehensive coverage of game engine architecture provided by previous editions, along with updated coverage of: computer and CPU hardware and memory caches, compiler optimizations, C++ language standardization, the IEEE-754 floating-point representation, 2D user interfaces, plus an entirely new chapter on hardware parallelism and concurrent programming. This book is intended to serve as an introductory text, but it also offers the experienced game programmer a useful perspective on aspects of game development technology with which they may not have deep experience. As always, copious references and citations are provided in this edition, making it an excellent jumping off point for those who wish to dig deeper into any particular aspect of the game development process. Key Features Covers both the theory and practice of game engine software development Examples are grounded in specific technologies, but discussion extends beyond any particular engine or API. Includes all mathematical background needed. Comprehensive text for beginners and also has content for senior engineers.

Mathematics For Computer Graphics And Game Programming

Autor: D. P. Kothari
Publisher:
ISBN: 9781683923565
File Size: 16,47 MB
Format: PDF, Kindle
Read: 3673
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Designed to explain the mathematical concepts involved in computer graphics and its entities, this book is ideal for courses in computer graphics, engineering, game development, as well as for professionals in industry. It begins with simple concepts such as how an image is generated on the screen and then moves to cover the different algorithms for the generation of simple geometry on the screen. The following chapters include two-dimensional and three-dimensional transformations, parametric representation of planar curves and parametric representation of space curves such as cubic splines, Bezier curves, etc. In addition to programming in C, OpenGL, and several other topics, it includes a final chapter on the methods of generating 3D models.

Foundations Of Game Engine Development Volume 1

Autor: Eric Lengyel
Publisher:
ISBN: 9780985811747
File Size: 16,14 MB
Format: PDF, Docs
Read: 2799
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"The first volume of Foundations of Game Engine Development discusses the mathematics needed by engineers who work on games or other types of virtual simulations. The book begins with conventional treatments of topics such as linear algebra, transforms, and geometry. Then, it introduces Grassmann algebra and geometric algebra to provide a much deeper understanding of the subject matter and highlight the places where traditional arithmetic with vectors, matrices, quaternions, etc."--Provided by Publisher.

2d Graphics Programming For Games

Autor: John Pile,Jr.
Publisher: CRC Press
ISBN: 1466501901
File Size: 15,14 MB
Format: PDF
Read: 2526
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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.

Real Time Rendering Fourth Edition

Autor: Tomas Akenine-Mo ̈ller
Publisher: CRC Press
ISBN: 1351816152
File Size: 8,24 MB
Format: PDF, Docs
Read: 8629
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Thoroughly updated, this fourth edition focuses on modern techniques used to generate synthetic three-dimensional images in a fraction of a second. With the advent of programmable shaders, a wide variety of new algorithms have arisen and evolved over the past few years. This edition discusses current, practical rendering methods used in games and o

Modern Mathematics And Applications In Computer Graphics And Vision

Autor: Hongyu Guo
Publisher: World Scientific Publishing Company
ISBN: 9814449350
File Size: 9,92 MB
Format: PDF, ePub
Read: 6625
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This book presents a concise exposition of modern mathematical concepts, models and methods with applications in computer graphics, vision and machine learning. The compendium is organized in four parts — Algebra, Geometry, Topology, and Applications. One of the features is a unique treatment of tensor and manifold topics to make them easier for the students. All proofs are omitted to give an emphasis on the exposition of the concepts. Effort is made to help students to build intuition and avoid parrot-like learning. There is minimal inter-chapter dependency. Each chapter can be used as an independent crash course and the reader can start reading from any chapter — almost. This book is intended for upper level undergraduate students, graduate students and researchers in computer graphics, geometric modeling, computer vision, pattern recognition and machine learning. It can be used as a reference book, or a textbook for a selected topics course with the instructor's choice of any of the topics.

Fundamentals Of Computer Graphics Fourth Edition

Autor: Steve Marschner
Publisher: CRC Press
ISBN: 1498785905
File Size: 20,35 MB
Format: PDF, Kindle
Read: 9901
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Drawing on an impressive roster of experts in the field, Fundamentals of Computer Graphics, Fourth Edition offers an ideal resource for computer course curricula as well as a user-friendly personal or professional reference. Focusing on geometric intuition, the book gives the necessary information for understanding how images get onto the screen by using the complementary approaches of ray tracing and rasterization. It covers topics common to an introductory course, such as sampling theory, texture mapping, spatial data structure, and splines. It also includes a number of contributed chapters from authors known for their expertise and clear way of explaining concepts. Highlights of the Fourth Edition Include: Updated coverage of existing topics Major updates and improvements to several chapters, including texture mapping, graphics hardware, signal processing, and data structures A text now printed entirely in four-color to enhance illustrative figures of concepts The fourth edition of Fundamentals of Computer Graphics continues to provide an outstanding and comprehensive introduction to basic computer graphic technology and theory. It retains an informal and intuitive style while improving precision, consistency, and completeness of material, allowing aspiring and experienced graphics programmers to better understand and apply foundational principles to the development of efficient code in creating film, game, or web designs.