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Geometry and Computing #6: Analysis and Design of Univariate Subdivision Schemes

Geometry and Computing #6: Analysis and Design of Univariate Subdivision Schemes Cover

 

Synopses & Reviews

Synopsis:

This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. It then considers how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application.

About the Author

The author has spent his professional life on the numerical representation of shape.

Table of Contents

Introduction.- Part I. Prependices: Functions and Curves; Differences; B-Splines; Eigenfactorisation; Enclosures; Hölder Continuity; Matrix Norms; Joint Spectral Radius; Radix Notation; z-transforms.- Part II. Dramatis Personae : An Introduction to some Regularly-Appearing Characters.- Part III. Analyses: Support; Enclosure; Continuity 1 - at Support Ends; Continuity 2 - Eigenanalysis; Continuity 3 - Difference Schemes; Continuity 4 - Difference Eigenanalysis; Continuity 5 - The Joint Spectral Radius; What Converges; Reproduction of Polynomials; Artifacts; Summary of Analysis Results.- Part IV. Design: The Design Space; Linear Subspaces of the Design Space; Non-Linear Conditions; Non-Stationary Schemes; Geometry Sensitive Schemes.- Part V. Implementation: Making Polygons; Rendering; Interrogation; End Conditions; Modifying the Original Polygon.- Part VI. Appendices: Proofs; Historical Notes; Solutions to Exercises; Coda.- References.- Index.

Product Details

ISBN:
9783642264498
Publisher:
Springer
Subject:
Graphic Methods
Author:
Sabin, Malcolm
Subject:
CAD
Subject:
Computer graphics
Subject:
Splines.
Subject:
subdivision schemes
Subject:
Visualization
Subject:
Computer-Aided Engineering (CAD, CAE) and Design
Subject:
Simulation and Modeling
Subject:
Numerical analysis
Subject:
Geometry
Subject:
Microsoft Windows-Windows 95 Applications
Copyright:
Edition Description:
2010
Series:
Geometry and Computing
Series Volume:
6
Publication Date:
20131231
Binding:
TRADE PAPER
Language:
English
Pages:
232
Dimensions:
235 x 155 mm 361 gr

Related Subjects

Computers and Internet » Computers Reference » Computer Simulation
Computers and Internet » Operating Systems » Microsoft Windows » Windows 95 » Applications
Engineering » Engineering » CAD
Science and Mathematics » Mathematics » General
Transportation » Automotive » General

Geometry and Computing #6: Analysis and Design of Univariate Subdivision Schemes
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Product details 232 pages Springer - English 9783642264498 Reviews:
"Synopsis" by , This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. It then considers how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application.
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