000 02944nam a22005055i 4500
001 978-3-540-46687-1
003 DE-He213
005 20160624102017.0
007 cr nn 008mamaa
008 121227s1992 gw | s |||| 0|eng d
020 _a9783540466871
_9978-3-540-46687-1
024 7 _a10.1007/3-540-55075-5
_2doi
050 4 _aT385
072 7 _aUML
_2bicssc
072 7 _aCOM012000
_2bisacsh
082 0 4 _a006.6
_223
245 1 4 _aThe Use of Projective Geometry in Computer Graphics
_h[electronic resource] /
_cedited by Ivan Herman.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
300 _aVIII, 151 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Computer Science,
_x0302-9743 ;
_v564
505 0 _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.
520 _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.
650 0 _aComputer science.
650 0 _aComputer graphics.
650 0 _aComputer science
_xMathematics.
650 0 _aGeometry.
650 1 4 _aComputer Science.
650 2 4 _aComputer Graphics.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aGeometry.
700 1 _aHerman, Ivan.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540550754
786 _dSpringer
830 0 _aLecture Notes in Computer Science,
_x0302-9743 ;
_v564
856 4 0 _uhttp://dx.doi.org/10.1007/3-540-55075-5
942 _2EBK5864
_cEBK
999 _c35158
_d35158