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010   $a9786611141110
010   $a3-540-72185-1
024 7 $a10.1007/978-3-540-72185-7
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035   $a(EBL)337553
035   $a(OCoLC)233973252
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035   $a(DE-He213)978-3-540-72185-7
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100   $a20070816d2008      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 00$aGeometric modeling and algebraic geometry$b[electronic resource] /$fBert Ju?ttler, Ragni Piene, editors
210   $aBerlin $cSpringer$dc2008
215   $a1 online resource (235 p.)
300   $aRevised papers from a workshop series on computational methods for algebraic spline surfaces held in Oslo, Norway in Sept. 14-16, 2005 which was aligned with the final review of the European project GAIA II entitled "Intersection algorithms for geometry based IT-applications using approximate algebraic methods" (IST 2001-35512).
311   $a3-540-72184-3 
320   $aIncludes bibliographical references and index.
327   $apt. 1. Survey of the European project GAIA II -- pt. 2. Some special algebraic surfaces -- pt. 3. Algorithms for geometric computing.
330   $aThe two ?elds of Geometric Modeling and Algebraic Geometry, though closely - lated, are traditionally represented by two almost disjoint scienti?c communities. Both ?elds deal with objects de?ned by algebraic equations, but the objects are studied in different ways. While algebraic geometry has developed impressive - sults for understanding the theoretical nature of these objects, geometric modeling focuses on practical applications of virtual shapes de?ned by algebraic equations. Recently, however, interaction between the two ?elds has stimulated new research. For instance, algorithms for solving intersection problems have bene?ted from c- tributions from the algebraic side. The workshop series on Algebraic Geometry and Geometric Modeling (Vilnius 1 2 2002 , Nice 2004 ) and on Computational Methods for Algebraic Spline Surfaces 3 (Kefermarkt 2003 , Oslo 2005) have provided a forum for the interaction between the two ?elds. The present volume presents revised papers which have grown out of the 2005 Oslo workshop, which was aligned with the ?nal review of the European project GAIA II, entitled Intersection algorithms for geometry based IT-applications 4 using approximate algebraic methods (IST 2001-35512) .
606   $aCurves on surfaces$xMathematical models
606   $aGeometry, Algebraic
606   $aGeometrical models
608   $aElectronic books.
615  0$aCurves on surfaces$xMathematical models.
615  0$aGeometry, Algebraic.
615  0$aGeometrical models.
676   $a516.3/52
701   $aJu?ttler$b B$g(Bert)$0975440
701   $aPiene$b Ragni$0975441
701   $aDokken$b Tor$0975442
712 02$aEuropean Science Foundation.$bWorkshop$f(2005 :$eOslo, Norway)
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910451352803321
996   $aGeometric modeling and algebraic geometry$92221174
997   $aUNINA