LEADER 04790nam 22007815 450 001 996466158403316 005 20200706063932.0 010 $a3-540-47896-5 024 7 $a10.1007/BFb0029813 035 $a(CKB)1000000000233995 035 $a(SSID)ssj0000326100 035 $a(PQKBManifestationID)11225645 035 $a(PQKBTitleCode)TC0000326100 035 $a(PQKBWorkID)10265900 035 $a(PQKB)10761848 035 $a(DE-He213)978-3-540-47896-6 035 $a(PPN)155195344 035 $a(EXLCZ)991000000000233995 100 $a20121227d1993 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aRay Shooting, Depth Orders and Hidden Surface Removal$b[electronic resource] /$fby Mark de Berg 205 $a1st ed. 1993. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1993. 215 $a1 online resource (X, 210 p.) 225 1 $aLecture Notes in Computer Science,$x0302-9743 ;$v703 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-57020-9 327 $aComputational geometry and computer graphics -- Preliminaries -- A general strategy -- Ray shooting from a fixed point -- Ray shooting into a fixed direction -- Ray shooting with arbitrary rays -- Conclusions -- Depth orders in the plane -- Depth orders in three dimensions -- Conclusions -- Non-intersecting polyhedra -- Intersecting polyhedra -- Dynamization -- Conclusions. 330 $aComputational geometry is the part of theoretical computer science that concerns itself with geometrical objects; it aims to define efficient algorithms for problems involving points, lines, polygons, and so on. The field has gained popularity very rapidly during the last decade. This is partly due to the many application areas of computational geometry and partly due to the beauty of the field itself. This monograph focuses on three problems that arise in three-dimensional computational geometry. The first problem is the ray shooting problem: preprocess a set of polyhedra into a data structure such that the first polyhedron that is hit by a query ray can be determined quickly. The second problem is that of computing depth orders: we want to sort a set of polyhedra such thatif one polyhedron is (partially) obscured by another polyhedron then it comes first in the order. The third problem is the hidden surface removal problem: given a set of polyhedra and a view point, compute which parts of the polyhedra are visible from the view point. These three problems involve issues that are fundamental to three-dimensional computational geometry. The book also contains a large introductory part discussing the techniques used to tackle the problems. This part should interest not only those who need the background for the rest of the book but also anyone who wants to know more about some recent techniques in computational geometry. 410 0$aLecture Notes in Computer Science,$x0302-9743 ;$v703 606 $aComputer graphics 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aArtificial intelligence 606 $aOptical data processing 606 $aGeometry 606 $aCombinatorics 606 $aComputer Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22013 606 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 606 $aImage Processing and Computer Vision$3https://scigraph.springernature.com/ontologies/product-market-codes/I22021 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 615 0$aComputer graphics. 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 0$aArtificial intelligence. 615 0$aOptical data processing. 615 0$aGeometry. 615 0$aCombinatorics. 615 14$aComputer Graphics. 615 24$aSignal, Image and Speech Processing. 615 24$aArtificial Intelligence. 615 24$aImage Processing and Computer Vision. 615 24$aGeometry. 615 24$aCombinatorics. 676 $a006.6/6/01516 700 $aBerg$b Mark de$4aut$4http://id.loc.gov/vocabulary/relators/aut$0534961 906 $aBOOK 912 $a996466158403316 996 $aRay shooting, depth orders and hidden surface removal$91381870 997 $aUNISA