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Analysis and Design of Univariate Subdivision Schemes

Malcolm Sabin
Publisher: 
Springer
Publication Date: 
2010
Number of Pages: 
215
Format: 
Hardcover
Series: 
Geometry and Computing 6
Price: 
59.95
ISBN: 
9783642136474
Category: 
Monograph
We do not plan to review this book.

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.

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