The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Analog "neuronal" networks in early vision.
Open accessAbstract
Many problems in early vision can be formulated in terms of minimizing a cost function. Examples are shape from shading, edge detection, motion analysis, structure from motion, and surface interpolation. As shown by Poggio and Koch [Poggio, T. & Koch, C. (1985) Proc. R. Soc. London, Ser. B 226, 303-323], quadratic variational problems, an important subset of early vision tasks, can be "solved" by linear, analog electrical, or chemical networks. However, in the presence of discontinuities, the cost function is nonquadratic, raising the question of designing efficient algorithms for computing the optimal solution. Recently, Hopfield and Tank [Hopfield, J. J. & Tank, D. W. (1985) Biol. Cybern. 52, 141-152] have shown that networks of nonlinear analog "neurons" can be effective in computing the solution of optimization problems. We show how these networks can be generalized to solve the nonconvex energy functionals of early vision. We illustrate this approach by implementing a specific analog network, solving the problem of reconstructing a smooth surface from sparse data while preserving its discontinuities. These results suggest a novel computational strategy for solving early vision problems in both biological and real-time artificial vision systems.
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Cites
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Self-citationThe interpretation of structure from motion
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Retinal ganglion cells: a functional interpretation of dendritic morphology
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Cited by
Cellular neural networks: theory
Chua, L. O., & Yang, L. (1988) · IEEE Transactions on Circuits and Systems · doi:10.1109/31.7600 · Cited by 4,769
Computing with Neural Circuits: A Model
Hopfield, J. J., & Tank, D. W. (1986) · Science · doi:10.1126/science.3755256 · Cited by 2,116
The role of the primary visual cortex in higher level vision
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Parallel and deterministic algorithms from MRFs: surface reconstruction
Geiger, D., & Girosi, F. (1991) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.134040 · Cited by 447
A forward-inverse optics model of reciprocal connections between visual cortical areas
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Metadata
- Authors
- Koch, C., Marroquin, J., & Yuille, A.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 1986-06
- Volume
- 83
- Issue
- 12
- Pages
- 4263-4267
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2022231604
- Cited by
- 278
- References
- 12
- FWCI
- 27.56
- Type
- journal article
- Language
- en
- Open access
- green
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