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Robust multiple homography estimation: an ill-solved problem

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dc.contributor.authorSzpak, Z.
dc.contributor.authorChojnacki, W.
dc.contributor.authorVan Den Hengel, A.
dc.contributor.conferenceIEEE Conference on Computer Vision and Pattern Recognition (CVPR) (7 Jun 2015 - 12 Jun 2015 : Boston, MA)
dc.date.issued2015
dc.description.abstractThe 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.
dc.description.statementofresponsibilityZygmunt L. Szpak, Wojciech Chojnacki, Anton van den Hengel
dc.identifier.citationProceedings / CVPR, IEEE Computer Society Conference on Computer Vision and Pattern Recognition. IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2015, vol.07-12-June-2015, pp.2132-2141
dc.identifier.doi10.1109/CVPR.2015.7298825
dc.identifier.isbn9781467369640
dc.identifier.issn1063-6919
dc.identifier.orcidSzpak, Z. [0000-0002-0694-4622]
dc.identifier.orcidChojnacki, W. [0000-0001-7782-1956]
dc.identifier.orcidVan Den Hengel, A. [0000-0003-3027-8364]
dc.identifier.urihttp://hdl.handle.net/2440/107900
dc.language.isoen
dc.publisherIEEE
dc.relation.ispartofseriesIEEE Conference on Computer Vision and Pattern Recognition
dc.rights© 2015 IEEE
dc.source.urihttp://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=7293313
dc.titleRobust multiple homography estimation: an ill-solved problem
dc.typeConference paper
pubs.publication-statusPublished

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