The use of projective geometry in computer graphics

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 m...

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Bibliografiske detaljer
Hovedforfatter: Herman, Ivan, 1955-
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in computer science 564
Fag:
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Edition sous un autre format:• The use of projective geometry in computer graphics, I. Herman, 1991, Berlin, Springer-Verlag, 1 vol. (VIII-146 p.), Lecture notes in computer science, 0-387-55075-5
• The Use of Projective Geometry in Computer Graphics, Texte imprimé, 9783662187999
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100 1 |a Herman, Ivan,  |d 1955- 
245 1 0 |a The use of projective geometry in computer graphics   |c [edited by] I. Herman. 
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500 |a Archives Springer e-books (Licence nationale) 
505 0 |a 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. 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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. 
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