The Use of Projective Geometry in Computer Graphics

Ivan Herman

ISBN 10: 3540550755 / ISBN 13: 9783540550754

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jan 1992, 1992

Beschreibung

Neuware -The ultimate goal of all 3D graphics systems is to render 3Dobjects 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 164 pp. Englisch.

Bestandsnummer des Verkäufers 9783540550754

Bibliografische Details

• Titel: The Use of Projective Geometry in Computer Graphics
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jan 1992
• Erscheinungsjahr: 1992
• Sprache: Englisch
• ISBN-10: 3540550755
• ISBN-13: 9783540550754
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.