Spherical wavelets: efficiently representing functions on the sphere
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Summary
This paper shows how biorthogonal wavelets with custom properties can be constructed with the lifting scheme, and gives examples of functions defined on the sphere, and shows how they can be efficiently represented with spherical wavelets.
- Type
- article
- Published
- 1995-09-15
- Cited by
- 838
- References
- 36
- OpenAlex
- https://openalex.org/W2012909180
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:5578278
Keywords
Citation, Computer science, Computer graphics (images), Graphics, Library science
References
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- Ten Lectures on Wavelets
- A butterfly subdivision scheme for surface interpolation with tension control
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- Bernstein-Bézier polynomials on spheres and sphere-like surfaces
- Spherical wavelet transform and its discretization
- A new class of unbalanced haar wavelets that form an unconditional basis for Lp on general measure spaces
- Hierarchical spacetime control
- Orthonormal bases of compactly supported wavelets
- The Lifting Scheme: A Custom - Design Construction of Biorthogonal Wavelets "Industrial Mathematics
- A multiresolution framework for volume rendering
- Predicting reflectance functions from complex surfaces
- Hierarchical and variational geometric modeling with wavelets
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- RFMP: An Iterative Best Basis Algorithm for Inverse Problems in the Geosciences
- Bernstein Polynomials for Radiative Transfer Computations
- Multiresolution Graphics on Ubiquitous Displays Using Wavelets
- Lossless wavelet based image compression with adaptive 2D decomposition
- Semantics-sensitive integrated matching for picture libraries and biomedical image databases
- Multiresolution applications in computer graphics: curves, images, and video
- A BRDF Database Employing the Beard-Maxwell Reflection Model
- Data processing and compact representation of measured isotropic spectral BRDF
- Multiresolution Spherical Wavelet Analysis in Global Seismic Tomography
- Fractal 3D modeling of asteroids using wavelets on arbitrary meshes
- Parameterization of Manifold Triangulations
- A 3D shape retrieval method based on continuous spherical wavelet transform
- A fast interpolation method to represent the BRDF in global illumination
- Déformation de courbes et surfaces multirésolution sous contraintes. (Constrained deformation of multiresolution curves and surfaces)
- 3D Knowledge-based Segmentation Using Sparse Hierarchical Models : contribution and Applications in Medical Imaging