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Geometrische Modellierung und algebraische Geometrie von Bert Jüttler: Neu-
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eBay-Artikelnr.:284582180613
Artikelmerkmale
- Artikelzustand
- Book Title
- Geometric Modeling and Algebraic Geometry
- Publication Date
- 2007-10-23
- Pages
- 231
- ISBN
- 9783540721840
Über dieses Produkt
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540721843
ISBN-13
9783540721840
eBay Product ID (ePID)
60456946
Product Key Features
Number of Pages
VIII, 231 Pages
Publication Name
Geometric Modeling and Algebraic Geometry
Language
English
Publication Year
2007
Subject
Computer Graphics, Geometry / General, Applied, Geometry / Algebraic
Type
Textbook
Subject Area
Mathematics, Computers
Format
Hardcover
Dimensions
Item Weight
18.7 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
Survey 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 Bézier 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.
Synopsis
The 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) ., Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. In 12 chapters written by leading experts, this book presents recent results which rely on the interaction of both fields. Some of these results have been obtained from a major European project in geometric modeling., The 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) ., The 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) ., The 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) .
LC Classification Number
QA564-609
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AlibrisBooks
98,6% positive Bewertungen•1,9 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (513.782)
- m***m (2298)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!
- a***n (45)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufMistakenly ordered a paperback that I thought was a hardcover, not sellers fault; it was described properly on the listing. Seller still processed a refund the day I went to return the item and let me keep the item anyway. A+++ service. Book arrived quickly in great condition and for a great price. Thank you so much! Amazing seller!
- n***c (94)- Bewertung vom Käufer.Letzte 6 MonateBestätigter Kaufseller was communicative about my shipment, media mail took a while and tracking wasn't updated frequently, but seller communicated to me very quickly on status. the item came new and wrapped as described, though the packaging in it was packed wasn't sturdy and falling apart when it got to me.