The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The computation of visible-surface representations
Abstract
A computational theory of visible-surface representations is developed. The visible-surface reconstruction process that computes these quantitative representations unifies formal solutions to the key problems of: (1) integrating multiscale constraints on surface depth and orientation from multiple-visual sources; (2) interpolating dense, piecewise-smooth surfaces from these constraints; (3) detecting surface depth and orientation discontinuities to apply boundary conditions on interpolation; and (4) structuring large-scale, distributed-surface representations to achieve computational efficiency. Visible-surface reconstruction is an inverse problem. A well-posed variational formulation results from the use of a controlled-continuity surface model. Discontinuity detection amounts to the identification of this generic model's distributed parameters from the data. Finite-element shape primitives yield a local discretization of the variational principle. The result is an efficient algorithm for visible-surface reconstruction.>
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Cited by
Rue, H., Martino, S., & Chopin, N. (2009) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2008.00700.x · Cited by 5,279
Implicit fairing of irregular meshes using diffusion and curvature flow
Desbrun, M., Meyer, M., Schröder, P., & Barr, A. H. (1999) · Proceedings of the 26th annual conference on Computer graphics and interactive techniques - SIGGRAPH '99 · doi:10.1145/311535.311576 · Cited by 1,538
Finite-element methods for active contour models and balloons for 2-D and 3-D images
Cohen, L. D., & Cohen, I. (1993) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.244675 · Cited by 1,378
Image‐based 3D Modelling: A Review
Remondino, F., & El‐Hakim, S. (2006) · The Photogrammetric Record · doi:10.1111/j.1477-9730.2006.00383.x · Cited by 1,019
Using dynamic programming for solving variational problems in vision
Amini, A. A., Weymouth, T. E., & Jain, R. C. (1990) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.57681 · Cited by 1,008
Metadata
- Authors
- Terzopoulos, D.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1988-07
- Volume
- 10
- Issue
- 4
- Pages
- 417-438
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2134781380
- Cited by
- 450
- References
- 1
- FWCI
- 23.30
- Type
- journal article
- Language
- en
- Open access
- closed
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- Terzopoulos, D. (1988). The computation of visible-surface representations. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/34.3908
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