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Record Nr. |
UNISA996465334103316 |
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Autore |
Herman Ivan |
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Titolo |
The Use of Projective Geometry in Computer Graphics [[electronic resource] /] / by Ivan Herman |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1992 |
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ISBN |
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Edizione |
[1st ed. 1992.] |
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Descrizione fisica |
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1 online resource (VIII, 151 p.) |
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Collana |
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Lecture Notes in Computer Science, , 0302-9743 ; ; 564 |
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Disciplina |
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Soggetti |
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Application software |
Computer graphics |
Computer mathematics |
Geometry |
Computer Applications |
Computer Graphics |
Computational Mathematics and Numerical Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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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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Sommario/riassunto |
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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 |
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