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Analysis and Design of Univariate Subdivision Schemes
This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context)....
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2010.
|
| Edición: | 1st ed. 2010. |
| Colección: | Geometry and Computing,
6 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Prependices
- Functions and Curves
- Differences
- B-Splines
- Eigenfactorisation
- Enclosures
- Hölder Continuity
- Matrix Norms
- Joint Spectral Radius
- Radix Notation
- z-transforms
- Dramatis Personae
- An introduction to some regularly-appearing characters
- 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
- Normalisation of Schemes
- Summary of Analysis Results
- Design
- The Design Space
- Linear Subspaces of the Design Space
- Non-linear Conditions
- Non-Stationary Schemes
- Geometry Sensitive Schemes
- Implementation
- Making Polygons
- Rendering
- Interrogation
- End Conditions
- Modifying the Original Polygon
- Appendices
- Proofs
- Historical Notes
- Solutions to Exercises
- Coda.