MATRIX TRANSFORMS FOR COMPUTER GAMES AND ANIMATION

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Matrix Transforms For Computer Games And Animation

Author : John Vince
ISBN : 9781447143215
Genre : Computers
File Size : 86.24 MB
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Matrix transforms are ubiquitous within the world of computer graphics, where they have become an invaluable tool in a programmer’s toolkit for solving everything from 2D image scaling to 3D rotation about an arbitrary axis. Virtually every software system and hardware graphics processor uses matrices to undertake operations such as scaling, translation, reflection and rotation. Nevertheless, for some newcomers to the world of computer games and animation, matrix notation can appear obscure and challenging. Matrices and determinants were originally used to solve groups of simultaneous linear equations, and were subsequently embraced by the computer graphics community to describe the geometric operations for manipulating two- and three-dimensional structures. Consequently, to place matrix notation within an historical context, the author provides readers with some useful background to their development, alongside determinants. Although it is assumed that the reader is familiar with everyday algebra and the solution of simultaneous linear equations, Matrix Transforms for Computer Games and Animation does not expect any prior knowledge of matrix notation. It includes chapters on matrix notation, determinants, matrices, 2D transforms, 3D transforms and quaternions, and includes many worked examples to illustrate their practical use.
Category: Computers

Calculus For Computer Graphics

Author : John Vince
ISBN : 9781447154662
Genre : Computers
File Size : 37.96 MB
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Students studying computer animation and computer games have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces, and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred illustrations. Calculus for Computer Graphics complements the author’s other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer games and animation.
Category: Computers

Mathematics For Computer Graphics

Author : John A. Vince
ISBN : 1849960232
Genre : Computers
File Size : 34.13 MB
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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.
Category: Computers

Rotation Transforms For Computer Graphics

Author : John Vince
ISBN : 0857291548
Genre : Computers
File Size : 80.83 MB
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Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners. The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa.
Category: Computers

The Matrix Trilogy

Author : Stacy Gillis
ISBN : 1904764320
Genre : Performing Arts
File Size : 44.34 MB
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This is a collection of essays on the films as well as the websites, games and The Animatrix video and DVD. Among the topics discussed are the new cyberpunk, Baudrillarian simulacra and simulation, gender, race and costume, cyberculture and the body, virtual realities and special effects.
Category: Performing Arts

Understanding Motion Capture For Computer Animation And Video Games

Author : Alberto Menache
ISBN : 0124906303
Genre : Computers
File Size : 72.48 MB
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Motion capture is a technique for recording a performance and then translating it into mathematical terms. Animating motion is critical for the development of applications such as animation, virtual environments and video games. Character animation is the process by which natural movements are modelled and digitized so that digital character movements appear as natural as possible. There are three approaches to character animation: keyframe animation, motion capture, and simulation.
Category: Computers

Principles Of Computer Graphics

Author : Shalini Govil-Pai
ISBN : 0387955046
Genre : Computers
File Size : 61.22 MB
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Helps readers to develop their own professional quality computer graphics. Hands-on examples developed in OpenGL illustrate key concepts.
Category: Computers

Transactions On Edutainment Iii

Author : Maiga Chang
ISBN : 9783642112447
Genre : Computers
File Size : 68.70 MB
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This journal subline serves as a forum for stimulating and disseminating innovative research ideas, theories, emerging technologies, empirical investigations, state-of-the-art methods, and tools in all different genres of edutainment, such as game-based learning and serious games, interactive storytelling, virtual learning environments, VR-based education, and related fields. It covers aspects from educational and game theories, human-computer interaction, computer graphics, artificial intelligence, and systems design. The third volume in this series contains a selection of 12 outstanding contributions from Edutainment 2009, the 4th International Conference on E-Learning and Games, held in Canada in August 2009. The main focus of these papers is on the use of games to stimulate learners. In addition, 10 regular papers are included, presenting a wide range of edutainment tools and applications.
Category: Computers

Foundation Mathematics For Computer Science

Author : John Vince
ISBN : 9783319214375
Genre : Computers
File Size : 56.95 MB
Format : PDF
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John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.
Category: Computers

Programming 3d Applications With Html5 And Webgl

Author : Tony Parisi
ISBN : 9781449363956
Genre : Computers
File Size : 22.55 MB
Format : PDF, ePub
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Create high-performance, visually stunning 3D applications for the Web, using HTML5 and related technologies such as CSS3 and WebGL—the emerging web graphics standard. With this book, you’ll learn how to use the tools, frameworks, and libraries for building 3D models and animations, mind-blowing visual effects, and advanced user interaction in both desktop and mobile browsers. In two parts—Foundations and Application Development Techniques—author Tony Parisi provides a thorough grounding in theory and practice for designing everything from a simple 3D product viewer to immersive games and interactive training systems. Ideal for developers with Javascript and HTML experience. Explore HTML5 APIs and related technologies for creating 3D web graphics, including WebGL, Canvas, and CSS Work with the popular JavaScript 3D rendering and animation libraries Three.js and Tween.js Delve into the 3D content creation pipeline, and the modeling and animation tools for creating killer 3D content Look into several game engines and frameworks for building 3D applications, including the author’s Vizi framework Create 3D environments with multiple objects and complex interaction, using examples and supporting code Examine the issues involved in building WebGL-based 3D applications for mobile browsers
Category: Computers