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|Title:||A dimensionality result for multiple homography matrices|
Van Den Hengel, A.
|Citation:||2011 IEEE International Conference on Computer Vision, 2011: pp.2104-2109|
|Publisher Place:||345 E 47TH ST, NEW YORK, NY 10017 USA|
|Series/Report no.:||IEEE International Conference on Computer Vision|
|Conference Name:||International Conference on Computer Vision (13th : 2011 : Barcelona, Spain)|
|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.|
|Appears in Collections:||Computer Science publications|
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