The Use of Projective Geometry in Computer Graphics by Ivan HermanThe Use of Projective Geometry in Computer Graphics by Ivan Herman

The Use of Projective Geometry in Computer Graphics

byIvan Herman

Paperback | January 15, 1992

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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.
Title:The Use of Projective Geometry in Computer GraphicsFormat:PaperbackDimensions:160 pagesPublished:January 15, 1992Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540550755

ISBN - 13:9783540550754


Table of Contents

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.