The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Closed-form solutions for physically based shape modeling and recognition
Abstract
The authors present a closed-form, physically based solution for recovering a three-dimensional (3-D) solid model from collections of 3-D surface measurements. Given a sufficient number of independent measurements, the solution is overconstrained and unique except for rotational symmetries. The proposed approach is based on the finite element method (FEM) and parametric solid modeling using implicit functions. This approach provides both the convenience of parametric modeling and the expressiveness of the physically based mesh formulation and, in addition, can provide great accuracy at physical simulation. A physically based object-recognition method that allows simple, closed-form comparisons of recovered 3-D solid models is presented. The performance of these methods is evaluated using both synthetic range data with various signal-to-noise ratios and using laser rangefinder data.>
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Cites
Recognition-by-components: A theory of human image understanding.
Biederman, I. (1987) · Psychological Review · doi:10.1037/0033-295x.94.2.115 · Cited by 5,621
Finite Element Procedures in Engineering Analysis
Bathe, K. J., & Saunders, H. (1984) · Journal of Pressure Vessel Technology · doi:10.1115/1.3264375 · Cited by 5,223
Representation and recognition of the spatial organization of three-dimensional shapes
Marr, D., & Nishihara, H. K. (1978) · Proceedings of the Royal Society of London. Series B. Biological Sciences · doi:10.1098/rspb.1978.0020 · Cited by 2,158
Recovery of parametric models from range images: the case for superquadrics with global deformations
Solina, F., & Bajcsy, R. (1990) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.44401 · Cited by 603
Perceptual organization and the representation of natural form
Pentland, A. P. (1986) · Artificial Intelligence · doi:10.1016/0004-3702(86)90052-4 · Cited by 561
Self-citationGood vibrations: modal dynamics for graphics and animation
Pentland, A., & Williams, J. (1989) · Proceedings of the 16th annual conference on Computer graphics and interactive techniques · doi:10.1145/74333.74355 · Cited by 389
Self-citationSymmetry-seeking models and 3D object reconstruction
Terzopoulos, D., Witkin, A., & Kass, M. (1988) · International Journal of Computer Vision · doi:10.1007/bf00127821 · Cited by 284
Using perceptual organization to extract 3D structures
Mohan, R., & Nevatia, R. (1989) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.42852 · Cited by 254
Pentland, A. P. (1987) · doi:10.21236/ada461783 · Cited by 242
Self-citationLearning Physical Descriptions From Functional Definitions, Examples, And Precedents
Winston, P. H., Binford, T. O., Katz, B., & Lowry, M. (1982) · Cited by 189
Cited by
Active Shape Models-Their Training and Application
Cootes, T. F., Taylor, C. J., Cooper, D. H., & Graham, J. (1995) · Computer Vision and Image Understanding · doi:10.1006/cviu.1995.1004 · Cited by 7,190
A shape-based approach to the segmentation of medical imagery using level sets
Tsai, A., Yezzi, A., Wells, W., Tempany, C., Tucker, D., Fan, A., Grimson, W. E., & Willsky, A. (2003) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2002.808355 · Cited by 894
Computational anatomy: an emerging discipline
Grenander, U., & Miller, M. I. (1998) · Quarterly of Applied Mathematics · doi:10.1090/qam/1668732 · Cited by 623
Three-dimensional modeling for functional analysis of cardiac images, a review
Frangi, A. F., Niessen, W. J., & Viergever, M. A. (2001) · IEEE Transactions on Medical Imaging · doi:10.1109/42.906421 · Cited by 533
Training Models of Shape from Sets of Examples
Cootes, T. F., Taylor, C. J., Cooper, D. H., & Graham, J. (1992) · BMVC92 · doi:10.1007/978-1-4471-3201-1_2 · Cited by 459
Metadata
- Authors
- Pentland, A., & Sclaroff, S.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1991-07
- Volume
- 13
- Issue
- 7
- Pages
- 715-729
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2132396702
- Cited by
- 466
- References
- 13
- FWCI
- 21.49
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pentland, A., & Sclaroff, S. (1991). Closed-form solutions for physically based shape modeling and recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/34.85660
Data sources
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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
