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The Use of Projective Geometry in Computer Graphics : Lecture Notes in Computer Science - I. Herman

The Use of Projective Geometry in Computer Graphics

Lecture Notes in Computer Science

By: I. Herman

Paperback Published: 15th January 1992
ISBN: 9783540550754
Number Of Pages: 151

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The ultimate goal of all 3D graphics systems is to render 3D objects on a two-dimensional surface such as plotter output or a workstation screen. The approach adopted by most graphics systems is to perform a central or parallel projection of the objects onto the view surface. These systems have to make use of the mathematical results of projective geometry. This monograph has as its aim the derivation of a framework for analyzing the behavior of projective transformations in graphics systems. It is shown that a mathematically precise description of the projective geometrical nature of a graphics system leads not only to a deeper understanding of the system but also to new approaches which result in faster or more precise algorithms. A further aim of the book is to show the importance of advanced mathematics for computer science. Many problems become easier to describe or to solve when the appropriate mathematical tools are used. The author demonstrates that projective geometry has a major role to play in computer graphics.

Projective geometry in general.- Practical use of four dimensional geometry.- Modelling clip.- Projective algorithms.- Conclusions.- Directions for further research.- An unsolved problem: Shaded B-spline surfaces.

ISBN: 9783540550754
ISBN-10: 3540550755
Series: Lecture Notes in Computer Science
Audience: General
Format: Paperback
Language: English
Number Of Pages: 151
Published: 15th January 1992
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.91
Weight (kg): 0.25