000			03731nam a22005175i 4500
001			978-3-540-72185-7
003			DE-He213
005			20160302163608.0
007			cr nn 008mamaa
008			100301s2008 gw | s |||| 0|eng d
020			_a9783540721857 _9978-3-540-72185-7
024	7		_a10.1007/978-3-540-72185-7 _2doi
050		4	_aQA564-609
072		7	_aPBMW _2bicssc
072		7	_aMAT012010 _2bisacsh
082	0	4	_a516.35 _223
245	1	0	_aGeometric Modeling and Algebraic Geometry _h[electronic resource] / _cedited by Bert J�ttler, Ragni Piene.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008.
300			_aVIII, 231 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aSurvey of the European project GAIA II -- The GAIA Project on Intersection and Implicitization -- Some special algebraic surfaces -- Some Covariants Related to Steiner Surfaces -- Real Line Arrangements and Surfaces with Many Real Nodes -- Monoid Hypersurfaces -- Canal Surfaces Defined by Quadratic Families of Spheres -- General Classification of (1,2) Parametric Surfaces in ?3 -- Algorithms for geometric computing -- Curve Parametrization over Optimal Field Extensions Exploiting the Newton Polygon -- Ridges and Umbilics of Polynomial Parametric Surfaces -- Intersecting Biquadratic B�zier Surface Patches -- Cube Decompositions by Eigenvectors of Quadratic Multivariate Splines -- Subdivision Methods for the Topology of 2d and 3d Implicit Curves -- Approximate Implicitization of Space Curves and of Surfaces of Revolution.
520			_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) .
650		0	_aMathematics.
650		0	_aComputer graphics.
650		0	_aAlgebraic geometry.
650		0	_aVisualization.
650		0	_aMathematical models.
650		0	_aComputational intelligence.
650	1	4	_aMathematics.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aMathematical Modeling and Industrial Mathematics.
650	2	4	_aComputer Graphics.
650	2	4	_aVisualization.
650	2	4	_aComputational Intelligence.
700	1		_aJ�ttler, Bert. _eeditor.
700	1		_aPiene, Ragni. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540721840
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-540-72185-7
912			_aZDB-2-SMA
999			_c181570 _d181570