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Modeling with Ambient B-Splines
Annotation
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
Logos Verlag Berlin,
2014.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; 1 Introduction; 2 Related Work; 2.1 Surface modeling; 2.1.1 Simplicial surfaces; 2.1.2 Parametric surfaces; 2.1.3 Implicit surfaces; 2.2 Approximation of functions on manifolds; 3 The Ambient B-Spline Method; 3.1 Basic concept; 3.2 Approximation power; 4 Realization of the Ambient B-Spline Method; 4.1 Preliminaries; 4.1.1 B-splines; 4.1.2 Dual functionals and quasi-interpolants; 4.2 Implementation; 4.3 Examples; 4.3.1 Geoid; 4.3.2 Stanford Bunny; 4.3.3 Cow model; 5 Hierarchical Approximation; 5.1 Hierarchical grids and B-splines; 5.2 Approximation by hierarchical overlays
- 5.3 Approximation by linearly independent hierarchical B-splines5.3.1 Hierarchical quasi-interpolant; 5.3.2 Stability; 5.3.3 Implementation aspects of hierarchical B-splines; 6 Revised Examples Using Adaptive Refinement; 6.1 Geoid; 6.2 Stanford Bunny; 6.3 Cow model; 7 Curvature Analysis; 7.1 Introduction; 7.2 The generalized curvature tensor; 7.3 Three different setups; 7.3.1 Parametrized surfaces; 7.3.2 Implicit surfaces; 7.3.3 Space deformation; 7.4 Examples; 7.4.1 Stanford Bunny and cow model; 7.4.2 Rounded cube; 8 Further Issues; 8.1 Parameter correction; 8.2 Bootstrapping