Mathematical Elements For Computer Graphics David F Rogers
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Mathematical Elements for Computer Graphics
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.
An Introduction to NURBS
The latest from a computer graphics pioneer, An Introduction to NURBS is the ideal resource for anyone seeking a theoretical and practical understanding of these very important curves and surfaces. Beginning with Bézier curves, the book develops a lucid explanation of NURBS curves, then does the same for surfaces, consistently stressing important shape design properties and the capabilities of each curve and surface type. Throughout, it relies heavily on illustrations and fully worked examples that will help you grasp key NURBS concepts and deftly apply them in your work. Supplementing the lucid, point-by-point instructions are illuminating accounts of the history of NURBS, written by some of its most prominent figures. Whether you write your own code or simply want deeper insight into how your computer graphics application works, An Introduction to NURBS will enhance and extend your knowledge to a degree unmatched by any other resource. - Presents vital information with applications in many different areas: CAD, scientific visualization, animation, computer games, and more. - Facilitates accessiblity to anyone with a knowledge of first-year undergraduate mathematics. - Details specific NURBS-based techniques, including making cusps with B-spline curves and conic sections with rational B-spline curves. - Presents all important algorithms in easy-to-read pseudocode-useful for both implementing them and understanding how they work. - Includes complete references to additional NURBS resources.
Simulating Humans
Author: Norman I. Badler
language: en
Publisher: Oxford University Press
Release Date: 1993-06-17
During the past decade, high-performance computer graphics have found application in an exciting and expanding range of new domains. Among the most dramatic developments has been the incorporation of real-time interactive manipulation and display for human figures. Though actively pursued by several research groups, the problem of providing a synthetic or surrogate human for engineers and designers already familiar with computer-aided design techniques was most comprehensively solved by Norman Badler's computer graphics laboratory at the University of Pennsylvania. The breadth of that effort as well as the details of its methodology and software environment are presented in this volume. The book is intended for human factors engineers interested in understanding how a computer-graphics surrogate human can augment their analyses of designed environments. It will also inform design engineers of the state of the art in human figure modeling, and hence of the human-centered design central to the emergent concept of concurrent engineering. In fulfilling these goals, the book additionally documents for the entire computer graphics community a major research effort in the interactive control of articulated human figures.