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Type: Conference paper
Title: A new approach to constrained parameter estimation applicable to some computer vision problems
Author: Chojnacki, W.
Brooks, M.
Van Den Hengel, A.
Gawley, D.
Citation: Proceedings of the statistical methods in video processing workshop / D. Suter (ed.), pp. 43-48
Publisher: Monash University
Publisher Place: Victoria, Australia
Issue Date: 2002
ISBN: 0958104409
Conference Name: Statistical Methods in Video Processing (2002 : Copenhagen, Denmark)
Statement of
Wojciech Chojnacki, Michael J. Brooks, Anton van den Hengel, Darren Gawley
Abstract: Previous work of the authors developed a theoretically well-founded scheme (FNS) for finding the minimiser of a class of cost functions. Various problems in video analysis, stereo vision, ellipse-fitting, etc, may be expressed in terms of finding such a minimiser. However, in common with many other approaches, it is necessary to correct the minimiser as a post-process if an ancillary constraint is also to be satisfied. In this paper we develop the first integrated scheme (CFNS) for simultaneously minimising the cost function and satisfying the constraint. Preliminary experiments in the domain of fundamental-matrix estimation show that CFNS generates rank-2 estimates with smaller cost function values than rank-2 corrected FNS estimates. Furthermore, when compared with the Hartley- Zisserman Gold Standard method, CFNS is seen to generate results of comparable quality in a fraction of the time.
RMID: 0020021423
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Appears in Collections:Computer Science publications

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