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.

Bibliographic Information

Book Title: The Use of Projective Geometry in Computer Graphics
Editors: Ivan Herman
Series Title: Lecture Notes in Computer Science
DOI: https://doi.org/10.1007/3-540-55075-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1992
Softcover ISBN: 978-3-540-55075-4Published: 15 January 1992
eBook ISBN: 978-3-540-46687-1Published: 03 July 2005
Series ISSN: 0302-9743
Series E-ISSN: 1611-3349
Edition Number: 1
Number of Pages: VIII, 151
Topics: Computer Applications, Computer Graphics, Computational Mathematics and Numerical Analysis, Geometry

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The Use of Projective Geometry in Computer Graphics

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