Paper Info
Title
Paracatadioptric camera calibration based on the projecting relationship of the relative position between two spheres
Abstract
We discuss how the projecting relationship of the relative position between two spheres in space can be used to calibrate paracatadioptric cameras. The projections of two spheres under a paracatadioptric camera are classified into three cases: Intersection, tangency, and separation. Methods for obtaining the principal point are proposed for each case. When the principal point is known, an analysis of the geometric relationship of the two spheres on the unit viewing sphere model shows that their tangent lines at the antipodal points are parallel. Based on this geometric relationship, the vanishing line of the plane containing the projection circle can be determined to yield the imaged circular points and obtain the remaining intrinsic camera parameters. When the principal point is unknown, the intersection points of two groups of parallel projection circles of the two spheres on the unit viewing sphere model combine with their corresponding antipodal points to form a rectangle; hence, the vanishing point in the orthogonal directions can be determined. Finally, the intrinsic camera parameters can be obtained by applying the constraints of the vanishing points in orthogonal directions to the absolute conic. Simulation results and real image data demonstrate the effectiveness of our methods.
Year
DOI
Venue
2019
10.1007/s11042-018-6763-1
Multimedia Tools and Applications
Keywords
Field
DocType
Machine vision, Calibration, Paracatadioptric camera, Imaged circular points, Vanishing point
Computer vision,Computer science,Mathematical analysis,Rectangle,Tangent lines to circles,Tangent,Camera resectioning,Artificial intelligence,Real image,Antipodal point,Parallel projection,Vanishing point
Journal
Volume
Issue
ISSN
78.0
9
1573-7721
Citations 
PageRank 
References 
1
0.37
18
Authors
2
Name
Order
Citations
PageRank
Yalin Wang110.37
Yue Zhao218633.54