The DOI matches its Crossref record; 47 of the 47 references it cites were found in a registry or an index.
Multiresolution analysis for surfaces of arbitrary topological type
Open accessAbstract
Multiresolution analysis and wavelets provide useful and efficient tools for representing functions at multiple levels of detail. Wavelet representations have been used in a broad range of applications, including image compression, physical simulation, and numerical analysis. In this article, we present a new class of wavelets, based on subdivision surfaces, that radically extends the class of representable functions. Whereas previous two-dimensional methods were restricted to functions difined on R2, the subdivision wavelets developed here may be applied to functions defined on compact surfaces of arbitrary topological type. We envision many applications of this work, including continuous level-of-detail control for graphics rendering, compression of geometric models, and acceleration of global illumination algorithms. Level-of-detail control for spherical domains is illustrated using two examples: shape approximation of a polyhedral model, and color approximation of global terrain data.
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Citations
Cites
(1979) · Cited by 43,841
A theory for multiresolution signal decomposition: the wavelet representation
Mallat, S. G. (1989) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.192463 · Cited by 21,372
Daubechies, I. (1992) · doi:10.1137/1.9781611970104 · Cited by 15,979
Daubechies, I., & Heil, C. (1992) · Computers in Physics · doi:10.1063/1.4823127 · Cited by 15,631
Orthonormal bases of compactly supported wavelets
Daubechies, I. (1988) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160410705 · Cited by 8,190
The Laplacian pyramid as a compact image code
Burt, P., & Adelson, E. (1983) · IEEE Transactions on Communications · doi:10.1109/tcom.1983.1095851 · Cited by 6,077
Singularity detection and processing with wavelets
Mallat, S., & Hwang, W. L. (1992) · IEEE Transactions on Information Theory · doi:10.1109/18.119727 · Cited by 3,863
Wavelets and signal processing
Rioul, O., & Vetterli, M. (1991) · IEEE Signal Processing Magazine · doi:10.1109/79.91217 · Cited by 2,786
Surface reconstruction from unorganized points
Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., & Stuetzle, W. (1992) · Proceedings of the 19th annual conference on Computer graphics and interactive techniques · doi:10.1145/133994.134011 · Cited by 2,730
Self-citationBiorthogonal bases of compactly supported wavelets
Cohen, A., Daubechies, I., & Feauveau, J. ‐. (1992) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160450502 · Cited by 2,667
Metadata
- Authors
- Lounsbery, M., DeRose, T. D., & Warren, J.
- Venue
- ACM Transactions on Graphics
- Published
- 1997-01
- Volume
- 16
- Issue
- 1
- Pages
- 34-73
- ISSN
- 0730-0301 (ISSN-L)
- 1557-7368
- OpenAlex
- W2163324644
- Cited by
- 760
- References
- 47
- FWCI
- 52.60
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Lounsbery, M., DeRose, T. D., & Warren, J. (1997). Multiresolution analysis for surfaces of arbitrary topological type. ACM Transactions on Graphics. https://doi.org/10.1145/237748.237750
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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