ENGLISH

The Use of Projective Geometry in Computer Graphics

By Ivan Herman (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1992
ISBN
9780387550756, 0387550755
DOI
10.1007/3-540-55075-5
LCC
T385 .H47 1991
Open Library ID
OL1561871M
Language
english
Format
DJVU
Filesize
2 MB (2413415 bytes)
Series
Lecture Notes in Computer Science 564
Edition
1
Pages
151\151
Time added
2014-10-05 02:30:00
Computer Graphics; Computational Mathematics and N

Description

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.

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