Mathematical Elements for Computer Graphics

Mathematical Elements for Computer Graphics
Author: David F. Rogers
Publisher: McGraw-Hill Science, Engineering & Mathematics
Total Pages: 648
Release: 1990
Genre: Computers
ISBN:

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.

Mathematical Elements for Computer Graphics

Mathematical Elements for Computer Graphics
Author: David F. Rogers
Publisher: McGraw-Hill Companies
Total Pages: 262
Release: 1976
Genre: Computers
ISBN:

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.

Mathematics for Computer Graphics

Mathematics for Computer Graphics
Author: John Vince
Publisher: Springer Science & Business Media
Total Pages: 251
Release: 2005-12-19
Genre: Computers
ISBN: 1846282837

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.

Fundamentals of Computer Graphics

Fundamentals of Computer Graphics
Author: Peter Shirley
Publisher: CRC Press
Total Pages: 784
Release: 2009-07-21
Genre: Computers
ISBN: 1439865523

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
Total Pages: 397
Release: 2003-05-19
Genre: Computers
ISBN: 1139440381

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, BĂ©zier 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
Total Pages: 758
Release: 1998
Genre: Computer graphics
ISBN:

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.

Real-Time Shader Programming

Real-Time Shader Programming
Author: Ron Fosner
Publisher: Elsevier
Total Pages: 425
Release: 2003-01-10
Genre: Computers
ISBN: 0080515908

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

Computer Graphics and Geometric Modeling

Computer Graphics and Geometric Modeling
Author: David Salomon
Publisher: Springer Science & Business Media
Total Pages: 862
Release: 2012-12-06
Genre: Computers
ISBN: 1461215048

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.

An Introduction to NURBS

An Introduction to NURBS
Author: David F. Rogers
Publisher: Morgan Kaufmann
Total Pages: 344
Release: 2001
Genre: Computers
ISBN: 1558606696

NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.