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Geometric Modeling and Algebraic Geometry by Bert Jüttler: New
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Item specifics
- Condition
- Book Title
- Geometric Modeling and Algebraic Geometry
- Publication Date
- 2007-10-23
- Pages
- 231
- ISBN
- 9783540721840
About this product
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
Language
English
Publication Name
Geometric Modeling and Algebraic Geometry
Subject
Computer Graphics, Geometry / General, Applied, Geometry / Algebraic
Publication Year
2007
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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- a***a (346)- Feedback left by buyer.Past 6 monthsVerified purchaseThis hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.Tameshigiri - The History and Development of Japanese Sword Testing by Sesko (#282906424466)
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- a***e- Feedback left by buyer.Past monthVerified purchaseProfessional Seller; Wide Inventory Selection; Competitive Prices; Great Communication; FAST Ship; Item Safely & Well-Packaged; Item Accurately Described in Listing; Item of High Quality and in Mint Condition; Appearance of Item is Great! Highly Recommended; Hope to Do Business with Again! Thank You Very Much!
- m***u (855)- Feedback left by buyer.Past 6 monthsVerified purchaseAbsolutely delightful seller! As pictured and described, fast shipping, and great communication! Excellent packaging and a phenomenal value! This seller is an extremely valuable asset to the eBay community! A++++! ✨🥇✨
- a***a (346)- Feedback left by buyer.Past 6 monthsVerified purchaseThis hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.Tameshigiri - The History and Development of Japanese Sword Testing by Sesko (#282906424466)