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035   $a(DE-He213)978-3-540-46687-1
035   $a(PPN)15517018X
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100   $a20121227d1992      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 14$aThe Use of Projective Geometry in Computer Graphics$b[electronic resource] /$fby Ivan Herman
205   $a1st ed. 1992.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1992.
215   $a1 online resource (VIII, 151 p.) 
225 1 $aLecture Notes in Computer Science,$x0302-9743 ;$v564
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-55075-5 
327   $aProjective 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.
330   $aThe ultimate goal of all 3D graphics systems is to render 3D objects on a two-dimensional surface such as plotter output or a workstation screen. The approach adopted by most graphics systems is to perform a central or parallel projection of the objects onto the view surface. These systems have to make use of the mathematical results of projective geometry. This monograph has as its aim the derivation of a framework for analyzing the behavior of projective transformations in graphics systems. It is shown that a mathematically precise description of the projective geometrical nature of a graphics system leads not only to a deeper understanding of the system but also to new approaches which result in faster or more precise algorithms. A further aim of the book is to show the importance of advanced mathematics for computer science. Many problems become easier to describe or to solve when the appropriate mathematical tools are used. The author demonstrates that projective geometry has a major role to play in computer graphics.
410  0$aLecture Notes in Computer Science,$x0302-9743 ;$v564
606   $aApplication software
606   $aComputer graphics
606   $aComputer mathematics
606   $aGeometry
606   $aComputer Applications$3https://scigraph.springernature.com/ontologies/product-market-codes/I23001
606   $aComputer Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22013
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
615  0$aApplication software.
615  0$aComputer graphics.
615  0$aComputer mathematics.
615  0$aGeometry.
615 14$aComputer Applications.
615 24$aComputer Graphics.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aGeometry.
676   $a006.6
700   $aHerman$b Ivan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0102035
906   $aBOOK
912   $a996465334103316
996   $aUse of Projective Geometry in Computer Graphics$9439844
997   $aUNISA