Hierarchical and variational geometric modeling with wavelets
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Summary
Wavelet decompositions are shown to be useful for hierarchical control point or least squares editing and direct curve and surface manipulation methods using an underlying geometric variational principle can be solved more efficiently by using a wavelet basis.
- Type
- article
- Published
- 1995-04-15
- Cited by
- 118
- References
- 59
- Access
- Open access
- OpenAlex
- https://openalex.org/W2147781009
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:4973453
Keywords
Wavelet, Computer science, Geometric modeling, Artificial intelligence, Computer vision
References
- An Introduction to Wavelets
- Multi-Resolution Surface Approximation for Animation
- Geometric manipulation of tensor product surfaces
- Variational surface modeling
- On the multi-level splitting of finite element spaces
- Wavelets and the Numerical Solution of Partial Differential Equations
- Image Analysis Using Multigrid Relaxation Methods
- Deformable curve and surface finite-elements for free-form shape design
- Designing faired parametric surfaces
- Hierarchical B-spline refinement
- Efficient, fair interpolation using Catmull-Clark surfaces
- Multivariate interpolation at arbitrary points made simple
- Hierarchical spacetime control
- Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics
- Functional optimization for fair surface design
- A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
- Regularization of Inverse Visual Problems Involving Discontinuities
- Fast surface interpolation using hierarchical basis functions
- Multiresolution analysis for surfaces of arbitrary topological type
- Multiresolution curves
Cited by
- Advanced Topics in Virtual Garment Simulation Part 1
- A Survey of Facial Modeling and Animation Techniques
- Déformation de courbes et surfaces multirésolution sous contraintes. (Constrained deformation of multiresolution curves and surfaces)
- Interactive character animation using dynamic elastic simulation
- Hierarchical Spacetime Control of Linked Figures
- Wavelet-Based Multiresolution Surface Approximation from Height Fields
- Modélisation Hiérarchique de Surfaces à partir de Maillages Polyédriques et Applications. (Hierarchical Modeling of Smooth surfaces over polyedral meshes)
- Multigrid methods for solids simulation
- Interactive multi-resolution modeling on arbitrary meshes
- Interactive project review of deformable parts through haptic interfaces in Virtual Reality
- Wavelets in numerical simulation : one year study report
- Subdivision Surface based One-Piece Representation
- Three applications of optimization in computer graphics
- The Basis Refinement Method
- Robot painter : high-level planning based on visual perception
- Vision-based gesture recognition in a robot learning by imitation framework
- Length Constrained Multiresolution Deformation for Surface Wrinkling
- Multiresolution constraints for designing subdivision surfaces via local smoothing
- Light field from micro-baseline image pair
- Geometric primitives based deformation techniques for arbitrary meshes
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