03623nam 22006375 450 99646533410331620200704005848.03-540-46687-810.1007/3-540-55075-5(CKB)1000000000233764(SSID)ssj0000327510(PQKBManifestationID)11266287(PQKBTitleCode)TC0000327510(PQKBWorkID)10298042(PQKB)11607587(DE-He213)978-3-540-46687-1(PPN)15517018X(EXLCZ)99100000000023376420121227d1992 u| 0engurnn|008mamaatxtccrThe Use of Projective Geometry in Computer Graphics[electronic resource] /by Ivan Herman1st ed. 1992.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1992.1 online resource (VIII, 151 p.) Lecture Notes in Computer Science,0302-9743 ;564Bibliographic Level Mode of Issuance: Monograph3-540-55075-5 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.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.Lecture Notes in Computer Science,0302-9743 ;564Application softwareComputer graphicsComputer mathematicsGeometryComputer Applicationshttps://scigraph.springernature.com/ontologies/product-market-codes/I23001Computer Graphicshttps://scigraph.springernature.com/ontologies/product-market-codes/I22013Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XGeometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21006Application software.Computer graphics.Computer mathematics.Geometry.Computer Applications.Computer Graphics.Computational Mathematics and Numerical Analysis.Geometry.006.6Herman Ivanauthttp://id.loc.gov/vocabulary/relators/aut102035BOOK996465334103316Use of Projective Geometry in Computer Graphics439844UNISA