The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
A theory of multiscale, curvature-based shape representation for planar curves
Abstract
A shape representation technique suitable for tasks that call for recognition of a noisy curve of arbitrary shape at an arbitrary scale or orientation is presented. The method rests on the describing a curve at varying levels of detail using features that are invariant with respect to transformations that do not change the shape of the curve. Three different ways of computing the representation are described. They result in three different representations: the curvature scale space image, the renormalized curvature scale space image, and the resampled curvature scale space image. The process of describing a curve at increasing levels of abstraction is referred to as the evolution or arc length evolution of that curve. Several evolution and arc length evolution properties of planar curves are discussed.>
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Cites
Use of the hough transformation to detect lines and curves in pictures
Duda, R. O., & Hart, P. E. (1972) · Communications of the ACM · doi:10.1145/361237.361242 · Cited by 6,633
Marr, D., & Hildreth, E. (1980) · Proceedings of the Royal Society of London. Series B. Biological Sciences · doi:10.1098/rspb.1980.0020 · Cited by 6,510
Generalizing the Hough transform to detect arbitrary shapes
Ballard, D. H. (1981) · Pattern Recognition · doi:10.1016/0031-3203(81)90009-1 · Cited by 4,371
Witkin, A. P. (1987) · Readings in Computer Vision · doi:10.1016/b978-0-08-051581-6.50036-2 · Cited by 2,359
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
Computer Processing of Line-Drawing Images
Freeman, H. (1974) · ACM Computing Surveys · doi:10.1145/356625.356627 · Cited by 1,368
Biological shape and visual science (part I)
Blum, H. (1973) · Journal of Theoretical Biology · doi:10.1016/0022-5193(73)90175-6 · Cited by 1,159
The heat equation shrinking convex plane curves
Gage, M. E., & Hamilton, R. S. (1986) · Journal of Differential Geometry · doi:10.4310/jdg/1214439902 · Cited by 1,151
Scale-space filtering: A new approach to multi-scale description
Witkin, A. (2005) · ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing · doi:10.1109/icassp.1984.1172729 · Cited by 1,086
Shape Discrimination Using Fourier Descriptors
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Cited by
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Metadata
- Authors
- Mokhtarian, F., & Mackworth, A. K.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1992
- Volume
- 14
- Issue
- 8
- Pages
- 789-805
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2072738093
- Cited by
- 940
- References
- 26
- FWCI
- 17.59
- Type
- journal article
- Language
- en
- Open access
- closed
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