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

Herman, Ivan

ISBN 10: 3540550755 / ISBN 13: 9783540550754

Editore: Springer, 1992

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Cover has some light bending to it at the corners, minor edge wear all around, pages bright white and unmarked, binding solid.

Codice articolo 002806

Dati bibliografici

• Titolo: The Use of Projective Geometry in Computer Graphics (Lecture Notes in Computer Science, 564)
• Editore: Springer
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 3540550755
• ISBN 13: 9783540550754
• Rilegatura: Soft cover
• Condizione: Very Good
• Cataloghi dei venditori:
  • Science
  • Mathematics

Descrizione articolo

Riassunto

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.

Contenuti

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.