The Use of Projective Geometry in Computer Graphics (Lecture Notes in Computer S

The Use of Projective Geometry in Computer Graphics (Lecture Notes in Computer Science, Vol 564)

Publisher:Springer

Number Of Pages:146

Publication Date:1992-01

Sales Rank:4684647

ISBN / ASIN:0387550755

EAN:9780387550756

Binding:Paperback

Manufacturer:Springer

Studio:Springer

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About this book

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.

Written for:

Researchers, lectureres, students and computer graphics professionals

Keywords:

3D-Systeme

3D-Systems

CAD

Computational Geometry

Computer Graphics

Computer-Aided Geometric Design

Computergraphik

Projective Geometry

Projektive Geometrie

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