TY - JOUR

T1 - Recovering Euclidean Structure from Principal-axes paralleled conics: Applications to camera calibration

AU - Weng, Y.

AU - Zhao, Z.W.

PY - 2014/6/1

Y1 - 2014/6/1

N2 - We focus on recovering the 2D Euclidean structure further for camera calibration from the projections of N parallel similar conics in this paper. This work demonstrates that the conic dual to the absolute points (CDAP) is the general form of the conic dual to the circular points, so it encodes the 2D Euclidean structure. However, the geometric size of the conic should be known if we utilize the CDAP. Under some special conditions (concentric conics), we proposed the rank-1 and rank-2 constraints. Our work relaxes the problem conditions and gives a more general framework than before. Experiments with simulated and real data are carried out to show the validity of the proposed algorithm.

AB - We focus on recovering the 2D Euclidean structure further for camera calibration from the projections of N parallel similar conics in this paper. This work demonstrates that the conic dual to the absolute points (CDAP) is the general form of the conic dual to the circular points, so it encodes the 2D Euclidean structure. However, the geometric size of the conic should be known if we utilize the CDAP. Under some special conditions (concentric conics), we proposed the rank-1 and rank-2 constraints. Our work relaxes the problem conditions and gives a more general framework than before. Experiments with simulated and real data are carried out to show the validity of the proposed algorithm.

U2 - 10.1364/JOSAA.31.001186

DO - 10.1364/JOSAA.31.001186

M3 - Article

VL - 31

SP - 1186

EP - 1193

JO - Journal of the Optical Society of America. A, Optics, image science and vision

JF - Journal of the Optical Society of America. A, Optics, image science and vision

SN - 1084-7529

IS - 6

ER -