Title
Self-calibration of catadioptric camera with two planar mirrors from silhouettes.
Abstract
If an object is interreflected between two planar mirrors, we may take an image containing both the object and its multiple reflections, i.e., simultaneously imaging multiple views of an object by a single pinhole camera. This paper emphasizes the problem of recovering both the intrinsic and extrinsic parameters of the camera using multiple silhouettes from one single image. View pairs among views in a single image can be divided into two kinds by the relationship between the two views in the pair: reflected by some mirror (real or virtual) and in a circular motion. Epipoles in the first kind of pairs can be easily determined from intersections of common tangent lines of silhouettes. Based on the projective properties of these epipoles, efficient methods are proposed to recover both the imaged circular points and the included angle between two mirrors. Epipoles in the second kind of pairs can be recovered simultaneously with the projection of intersection line between two mirrors by solving a simple 1D optimization problem using the consistency constraint of epipolar tangent lines. Fundamental matrices among views in a single image are all recovered. Using the estimated intrinsic and extrinsic parameters of the camera, a euclidean reconstruction can be obtained. Experiments validate the proposed approach.
Year
DOI
Venue
2013
10.1109/TPAMI.2012.195
IEEE Trans. Pattern Anal. Mach. Intell.
Keywords
Field
DocType
optimisation,pinhole camera,calibration,epipolar tangent lines,planar mirrors,consistency constraint,euclidean reconstruction,imaging multiple view,intersection line projection,imaged circular point,catadioptric camera,silhouettes,object interreflection,object reflection image,1d optimization problem,extrinsic parameter,extrinsic camera parameters,multiple reflection,light reflection,image reconstruction,single pinhole camera,multiple silhouette,circular points,cameras,common tangent line,catadioptric camera self-calibration,single image,circular motion,mirrors,epipolar tangent line,intrinsic camera parameters,self-calibration,geometry,vectors,reflection
Iterative reconstruction,Computer vision,Pinhole camera,Epipolar geometry,Computer science,Tangent lines to circles,Circular motion,Planar,Artificial intelligence,Euclidean geometry,Optimization problem
Journal
Volume
Issue
ISSN
35
5
1939-3539
Citations 
PageRank 
References 
8
0.55
26
Authors
6
Name
Order
Citations
PageRank
Xianghua Ying122123.55
Kun Peng280.55
Yongbo Hou3111.67
Sheng Guan4101.66
Jing Kong5183.13
Hongbin Zha62206183.36