On the realization of perspective systems and its application to motion and shape estimation problems in machine vision

E. P. Loucks, B. K. Ghosh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the problem of realization of perspective systems. A perspective system is a linear dynamic system whose output is observed up to a scale factor. For such a system, we are able to characterize the orbit of all parameter sets that produce the observed output as a certain group action on the nominal parameter set. In this way, we are able to determine the extent to which of these parameters are identifiable. We show how perspective systems arise in the study of motion and shape estimation in machine vision. We apply the approach developed in this paper to two problems in machine vision. In these problems, the special structure of the parameter sets enables us to define a subgroup action on the parameters that further characterizes the set of identifiable parameters.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages1233-1236
Number of pages4
ISBN (Print)0780312988
StatePublished - 1993
EventProceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4) - San Antonio, TX, USA
Duration: Dec 15 1993Dec 17 1993

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2
ISSN (Print)0191-2216

Conference

ConferenceProceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4)
CitySan Antonio, TX, USA
Period12/15/9312/17/93

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