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Ill-Posed Problems in Early Vision: From Computational Theory to Analogue Networks

Poggio, Tomaso and Koch, Christof (1985) Ill-Posed Problems in Early Vision: From Computational Theory to Analogue Networks. Proceedings of the Royal Society of London. Series B, Biological Sciences, 226 (1244). pp. 303-323. ISSN 0962-8452. http://resolver.caltech.edu/CaltechAUTHORS:20130816-103221056

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Abstract

We outline a theoretical framework that leads from the computational nature of early vision to algorithms for solving them and finally to a specific class of analogue and parallel hardware for the efficient solution of these algorithms. The common computational structure of many early vision problems is that they are mathematically ill-posed in the sense of Hadamard. Regularization analysis can be used to solve them in terms of variational principles of a specific type that enforce constraints derived from a physical analysis of the problem. Studies of human perception may reveal whether principles of a similar type are exploited by biological vision. We also show that the corresponding variational principles can be implemented in a natural way by analogue networks. Specific electrical and chemical networks for localizing edges and computing visual motion are derived. We suggest that local circuits of neurons may exploit this unconventional model of computation.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rspb.1985.0097 DOIArticle
http://rspb.royalsocietypublishing.org/content/226/1244/303.abstractPublisherArticle
http://www.jstor.org/stable/36150OrganizationJSTOR article
Additional Information:Received 5 September 1984 ; Revised 13 May 1985.
Group:Koch Laboratory, KLAB
Record Number:CaltechAUTHORS:20130816-103221056
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130816-103221056
Official Citation:Ill-Posed Problems in Early Vision: From Computational Theory to Analogue Networks T. Poggio and C. Koch Proceedings of the Royal Society of London. Series B, Biological Sciences , Vol. 226, No. 1244 (Dec. 23, 1985), pp. 303-323
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:40493
Collection:CaltechAUTHORS
Deposited By: KLAB Import
Deposited On:26 Jan 2008 04:38
Last Modified:24 Oct 2013 22:20

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