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Logical/linear operators for image curves
Abstract
We propose a language for designing image measurement operators suitable for early vision. We refer to them as logical/linear (L/L) operators, since they unify aspects of linear operator theory and Boolean logic. A family of these operators appropriate for measuring the low-order differential structure of image curves is developed. These L/L operators are derived by decomposing a linear model into logical components to ensure that certain structural preconditions for the existence of an image curve are upheld. Tangential conditions guarantee continuity, while normal conditions select and categorize contrast profiles. The resulting operators allow for coarse measurement of curvilinear differential structure (orientation and curvature) while successfully segregating edge-and line-like features. By thus reducing the incidence of false-positive responses, these operators are a substantial improvement over (thresholded) linear operators which attempt to resolve the same class of features.>
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Cites
A Computational Approach to Edge Detection
Canny, J. (1986) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.1986.4767851 · Cited by 30,004
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
Jones, J. P., & Palmer, L. A. (1987) · Journal of Neurophysiology · doi:10.1152/jn.1987.58.6.1233 · Cited by 1,658
Spatial summation in the receptive fields of simple cells in the cat's striate cortex.
Movshon, J. A., Thompson, I. D., & Tolhurst, D. J. (1978) · The Journal of Physiology · doi:10.1113/jphysiol.1978.sp012488 · Cited by 890
Cited by
Suggestive contours for conveying shape
DeCarlo, D., Finkelstein, A., Rusinkiewicz, S., & Santella, A. (2003) · ACM Transactions on Graphics · doi:10.1145/882262.882354 · Cited by 466
Metadata
- Authors
- Iverson, L. A., & Zucker, S. W.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1995
- Volume
- 17
- Issue
- 10
- Pages
- 982-996
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2129119440
- Cited by
- 168
- References
- 4
- FWCI
- 6.73
- Type
- journal article
- Language
- en
- Open access
- closed
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