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Type: Conference paper
Title: A dimensionality result for multiple homography matrices
Author: Chojnacki, W.
Van Den Hengel, A.
Citation: 2011 IEEE International Conference on Computer Vision, 2011: pp.2104-2109
Publisher: IEEE
Publisher Place: 345 E 47TH ST, NEW YORK, NY 10017 USA
Issue Date: 2011
Series/Report no.: IEEE International Conference on Computer Vision
ISBN: 9781457711015
ISSN: 1550-5499
Conference Name: International Conference on Computer Vision (13th : 2011 : Barcelona, Spain)
Statement of
Wojciech Chojnacki, Anton van den Hengel
Abstract: It is shown that the set of all I-element collections of interdependent homography matrices describing homographies induced by I planes in the 3D scene between two views has dimension 4I + 7. This improves on an earlier result which gave an upper bound for the dimension in question, and solves a long-standing open problem. The significance of the present result lies in that it is critical to the identification of the full set of constraints to which collections of interdependent homography matrices are subject, which in turn is critical to the design of constrained optimisation techniques for estimating such collections from image data.
Rights: Copyright © 2011 by IEEE.
RMID: 0020116863
DOI: 10.1109/ICCV.2011.6126485
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Appears in Collections:Computer Science publications

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