Discovering the Structure of a Planar Mirror System from Multiple Observations of a Single Point
RESHTOUSKI, Ilya
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
Saarland University [Saarbrücken]
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
Saarland University [Saarbrücken]
MANAKOV, Alkhazur
Saarland University [Saarbrücken]
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
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Saarland University [Saarbrücken]
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
RESHTOUSKI, Ilya
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
Saarland University [Saarbrücken]
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
Saarland University [Saarbrücken]
MANAKOV, Alkhazur
Saarland University [Saarbrücken]
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
Saarland University [Saarbrücken]
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
IHRKE, Ivo
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Melting the frontiers between Light, Shape and Matter [MANAO]
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
< Leer menos
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Melting the frontiers between Light, Shape and Matter [MANAO]
Laboratoire Photonique, Numérique et Nanosciences [LP2N]
Idioma
en
Communication dans un congrès avec actes
Este ítem está publicado en
CVPR - Conference on Computer Vision and Pattern Recognition, 2013-06-25, Portland, Oregon. 2013-06-25
Resumen en inglés
We investigate the problem of identifying the position of a viewer inside a room of planar mirrors with unknown geometry in conjunction with the room's shape parameters. We consider the observations to consist of angularly ...Leer más >
We investigate the problem of identifying the position of a viewer inside a room of planar mirrors with unknown geometry in conjunction with the room's shape parameters. We consider the observations to consist of angularly resolved depth measurements of a single scene point that is being observed via many multi-bounce interactions with the specular room geometry. Applications of this problem statement include areas such as calibration, acoustic echo cancelation and time-of-flight imaging. We theoretically analyze the problem and derive sufficient conditions for a combination of convex room geometry, observer, and scene point to be reconstructable. The resulting constructive algorithm is exponential in nature and, therefore, not directly applicable to practical scenarios. To counter the situation, we propose theoretically devised geometric constraints that enable an efficient pruning of the solution space and develop a heuristic randomized search algorithm that uses these constraints to obtain an effective solution. We demonstrate the effectiveness of our algorithm on extensive simulationsas well as in a challenging real-world calibration scenario.< Leer menos
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