DocumentCode :
639347
Title :
Discovering the Structure of a Planar Mirror System from Multiple Observations of a Single Point
Author :
Reshetouski, Ilya ; Manakov, Alkhazur ; Bandhari, Ayush ; Raskar, Ramesh ; Seidel, Hans-Peter ; Ihrke, Ivo
fYear :
2013
fDate :
23-28 June 2013
Firstpage :
89
Lastpage :
96
Abstract :
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 reconstruct able. 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 simulations as well as in a challenging real-world calibration scenario.
Keywords :
bathymetry; mirrors; observers; search problems; spatial variables measurement; constructive algorithm; convex room geometry; depth measurements; geometric constraints; heuristic randomized search algorithm; multibounce interactions; observer; planar mirror system; specular room geometry; Cameras; Geometry; Image reconstruction; Mirrors; Receivers; Reflection; analysis; geometry reconstruction; mirrors; time-of-flight;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Vision and Pattern Recognition (CVPR), 2013 IEEE Conference on
Conference_Location :
Portland, OR
ISSN :
1063-6919
Type :
conf
DOI :
10.1109/CVPR.2013.19
Filename :
6618863
Link To Document :
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