Mathematical Elements for Computer Graphics
Mathematical Elements for Computer Graphics

Author: David F. Rogers

Publisher: McGraw-Hill Companies

Published: 1976

Total Pages: 262

ISBN-13:

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This text is ideal for junior-, senior-, and graduate-level courses in computer graphics and computer-aided design taught in departments of mechanical and aeronautical engineering and computer science. It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications. It covers topics of keen interest to students in engineering and computer science: transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions. It also includes techniques, such as B-splines, which are incorporated as part of the software in advanced engineering workstations. A basic knowledge of vector and matrix algebra and calculus is required.

Fundamentals of Computer Graphics
Fundamentals of Computer Graphics

Author: Peter Shirley

Publisher: CRC Press

Published: 2009-07-21

Total Pages: 784

ISBN-13: 1439865523

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With contributions by Michael Ashikhmin, Michael Gleicher, Naty Hoffman, Garrett Johnson, Tamara Munzner, Erik Reinhard, Kelvin Sung, William B. Thompson, Peter Willemsen, Brian Wyvill. The third edition of this widely adopted text gives students a comprehensive, fundamental introduction to computer graphics. The authors present the mathematical fo

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.

Procedural Elements for Computer Graphics
Procedural Elements for Computer Graphics

Author: David F. Rogers

Publisher: McGraw-Hill Science, Engineering & Mathematics

Published: 1998

Total Pages: 758

ISBN-13:

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This textbook, offering coverage of computer graphics, features and emphasis on rendering an in-depth coverage of classical computer algorithms. It also contains over 90 worked examples.

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.

Mathematics for Computer Graphics
Mathematics for Computer Graphics

Author: John Vince

Publisher: Springer Science & Business Media

Published: 2005-11-09

Total Pages: 268

ISBN-13: 9781846280344

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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.

Computer Graphics and Geometric Modeling
Computer Graphics and Geometric Modeling

Author: David Salomon

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 862

ISBN-13: 1461215048

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A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.

Real-Time Shader Programming
Real-Time Shader Programming

Author: Ron Fosner

Publisher: Elsevier

Published: 2003-01-10

Total Pages: 425

ISBN-13: 0080515908

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Now that PC users have entered the realm of programmable hardware, graphics programmers can create 3D images and animations comparable to those produced by RenderMan's procedural programs—-but in real time. Here is a book that will bring this cutting-edge technology to your computer. Beginning with the mathematical basics of vertex and pixel shaders, and building to detailed accounts of programmable shader operations, Real-Time Shader Programming provides the foundation and techniques necessary for replicating popular cinema-style 3D graphics as well as creating your own real-time procedural shaders. A compelling writing style, color illustrations throughout, and scores of online resources make Real-Time Shader Programming an indispensable tutorial/reference for the game developer, graphics programmer, game artist, or visualization programmer, to create countless real-time 3D effects. * Contains a complete reference of the low-level shader language for both DirectX 8 and DirectX 9 * Provides an interactive shader demonstration tool (RenderMonkeyTM) for testing and experimenting * Maintains an updated version of the detailed shader reference section at www.directx.com * Teaches the latest shader programming techniques for high-performance real-time 3D graphics

The NURBS Book
The NURBS Book

Author: Les Piegl

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 650

ISBN-13: 3642592236

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Until recently B-spline curves and surfaces (NURBS) were principally of interest to the computer aided design community, where they have become the standard for curve and surface description. Today we are seeing expanded use of NURBS in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. NURBS are now also being used for modeling scenes for virtual reality applications. These applications are expected to increase. Consequently, it is quite appropriate for The.N'URBS Book to be part of the Monographs in Visual Communication Series. B-spline curves and surfaces have been an enduring element throughout my pro fessional life. The first edition of Mathematical Elements for Computer Graphics, published in 1972, was the first computer aided design/interactive computer graph ics textbook to contain material on B-splines. That material was obtained through the good graces of Bill Gordon and Louie Knapp while they were at Syracuse University. A paper of mine, presented during the Summer of 1977 at a Society of Naval Architects and Marine Engineers meeting on computer aided ship surface design, was arguably the first to examine the use of B-spline curves for ship design. For many, B-splines, rational B-splines, and NURBS have been a bit mysterious.