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Nonlinear observer design on SL(3) for homography estimation by exploiting point and line correspondences with application to image stabilization

Abstract : Although homography estimation from correspondences of mixed-type features, namely points and lines, has been relatively well studied with algebraic approaches by the computer vision community, this problem has never been addressed with nonlinear observer paradigms. In this paper, a novel nonlinear observer on the Special Linear group SL(3) applied to homography estimation is developed. The key advance with respect to similar works on the topic is the formulation of observer innovation that exploits directly point and line correspondences as input without requiring prior algebraic reconstruction of individual homographies. Rigourous observability and stability analysis is provided. A potential application to image stabilization in presence of very fast camera motion, severe occlusion, specular reflection, image blur, and light saturation is demonstrated with very encouraging results.
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https://hal.archives-ouvertes.fr/hal-03052483
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Submitted on : Thursday, December 10, 2020 - 4:07:22 PM
Last modification on : Wednesday, May 19, 2021 - 12:00:26 PM
Long-term archiving on: : Thursday, March 11, 2021 - 8:24:45 PM

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  • HAL Id : hal-03052483, version 1

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Minh-Duc Hua, Jochen Trumpf, Tarek Hamel, Robert Mahony, Pascal Morin. Nonlinear observer design on SL(3) for homography estimation by exploiting point and line correspondences with application to image stabilization. Automatica, Elsevier, 2020. ⟨hal-03052483⟩

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