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Type: Conference paper
Title: Robust multiple homography estimation: an ill-solved problem
Author: Szpak, Z.
Chojnacki, W.
Van Den Hengel, A.
Citation: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2015 / vol.07-12-June-2015, pp.2132-2141
Publisher: IEEE
Issue Date: 2015
Series/Report no.: IEEE Conference on Computer Vision and Pattern Recognition
ISBN: 9781467369640
ISSN: 1063-6919
Conference Name: IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (07 Jun 2015 - 12 Jun 2015 : Boston, MA)
Statement of
Zygmunt L. Szpak, Wojciech Chojnacki, Anton van den Hengel
Abstract: The estimation of multiple homographies between two piecewise planar views of a rigid scene is often assumed to be a solved problem. We show that contrary to popular opinion various crucial aspects of the task have not been adequately emphasised. We are motivated by a growing body of literature in robust multi-structure estimation that purports to solve the multi-homography estimation prob- lem but in fact does not. We demonstrate that the estima- tion of multiple homographies is an ill-solved problem by deriving new constraints that a set of mutually compatible homographies must satisfy, and by showing that homogra- phies estimated with prevailing methods fail to satisfy the requisite constraints on real-world data. We also explain why incompatible homographies imply inconsistent epipo- lar geometries. The arguments and experiments presented in this paper signal the need for a new generation of robust multi-structure estimation methods that have the capacity to enforce constraints on projective entities such as homog- raphy matrices.
Rights: © 2015 IEEE
RMID: 0030045270
DOI: 10.1109/CVPR.2015.7298825
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Appears in Collections:Computer Science publications

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