The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Elastica and Computer Vision
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Citations
Cites
Kass, M., Witkin, A., & Terzopoulos, D. (1988) · International Journal of Computer Vision · doi:10.1007/bf00133570 · Cited by 17,070
A treatise on the mathematical theory of elasticity
Love, A. E. H. (1892) · HAL · Cited by 7,247
A Treatise on the Mathematical Theory of Elasticity
M., G. B. (1906) · Nature · doi:10.1038/074074a0 · Cited by 2,935
Mumford, D. B. (2007) · Birkhäuser Boston eBooks · doi:10.1007/978-0-8176-4577-9 · Cited by 1,519
Self-citation(2017) · Approximation Techniques for Engineers · doi:10.1201/9781315205007-4 · Cited by 1,155
Organization in vision: Essays on gestalt perception
Kanizsa, G. (1979) · Medical Entomology and Zoology · Cited by 924
Mumford, D. (1983) · Progress in mathematics · doi:10.1007/978-1-4899-2843-6 · Cited by 773
Self-citationHorn, B. K. P. (1983) · ACM Transactions on Mathematical Software · doi:10.1145/356056.356061 · Cited by 231
Random fields and inverse problems in imaging
Geman, D. (1990) · Lecture Notes in Mathematics · doi:10.1007/bfb0103042 · Cited by 214
Grenander, U. (1978) · Springer eBooks · Cited by 81
Cited by
Ecological statistics of Gestalt laws for the perceptual organization of contours
Elder, J. H., & Goldberg, R. M. (2002) · Journal of Vision · doi:10.1167/2.4.5 · Cited by 333
Stochastic completion fields: A neural model of illusory contour shape and salience.
Williams, L. R., & Jacobs, D. W. (1997) · Neural Computation · doi:10.1162/neco.1997.9.4.837 · Cited by 331
Grouping with Asymmetric Affinities: A Game-Theoretic Perspective
Torsello, A., Bulo, S. R., & Pelillo, M. (2006) · 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1 (CVPR'06) · doi:10.1109/cvpr.2006.130 · Cited by 71
Metadata
- Authors
- Mumford, D.
- Venue
- Algebraic Geometry and its Applications
- Publisher
- Springer New York
- Published
- 1994
- Pages
- 491-506
- OpenAlex
- W1558012644
- Cited by
- 458
- References
- 10
- FWCI
- 26.83
- Type
- book chapter
- Language
- en
- Open access
- closed
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: Elastica and Computer Vision. https://app.cochat.ai/papers/10.1007/978-1-4612-2628-4_31
- The paper
- Mumford, D. (1994). Elastica and Computer Vision. Algebraic Geometry and its Applications. https://doi.org/10.1007/978-1-4612-2628-4_31
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.