The Use of Projective Geometry in Computer Graphics

Ivan Herman

ISBN 10: 3540550755 / ISBN 13: 9783540550754

Published by Springer Berlin Heidelberg Jan 1992, 1992

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -The ultimate goal of all 3D graphics systems is to render 3Dobjects on a two-dimensional surface such as plotter outputor a workstation screen. The approach adopted by mostgraphics systems is to perform a central or parallelprojection of the objects onto the view surface. Thesesystems have to make use of the mathematical results ofprojective geometry.This monograph has as its aim the derivation of a frameworkfor analyzing the behavior of projective transformations ingraphics systems. It is shown that a mathematically precisedescription of the projective geometrical nature of agraphics system leads not only to a deeper understanding ofthe system but also to new approaches which result in fasteror more precise algorithms.A further aim of the book is to show the importance ofadvanced mathematics for computer science. Many problemsbecome easier to describe or to solve when the appropriatemathematical tools are used. The author demonstrates thatprojective geometry has a major role to play in computergraphics. 164 pp. Englisch.

Seller Inventory # 9783540550754

Bibliographic Details

• Title: The Use of Projective Geometry in Computer Graphics
• Publisher: Springer Berlin Heidelberg Jan 1992
• Publication Date: 1992
• Language: English
• ISBN 10: 3540550755
• ISBN 13: 9783540550754
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 10D millimeters 235 millimeters width by 155 millimeters height by 10 millimeters depth
• Weight: 260 grams

About this title

Synopsis

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.

Synopsis

This monograph derives a framework for analyzing projective transformations in graphics systems. It demonstrates how a mathematically precise description of the projective geometrical nature of a graphics system leads to new approaches which result in faster or more precise algorithms.