TY - JOUR
T1 - Estimating Three-Dimensional Motion Parameters of a Rigid Planar Patch, III
T2 - Finite Point Correspondences and the Three-View Problem
AU - Tsai, Roger Y.
AU - Huang, Thomas S.
PY - 1984
Y1 - 1984
N2 - Two results are presented in this paper. First, it is shown that in estimating three-dimensional motion of a rigid planar patch, the eight pure parameters used in [1] and [2] are uniquely determined from the image correspondences of four points, no three collinear, and can be estimated by solving a set of linear equations. The second result concerns the three-view problem. It is proved that given four image point correspondences in three perspective views of a planar patch undergoing general three-dimensional rigid body motion, the number of solutions for the motion parameters is one, as opposed to two [2] when only two perspective views are given.
AB - Two results are presented in this paper. First, it is shown that in estimating three-dimensional motion of a rigid planar patch, the eight pure parameters used in [1] and [2] are uniquely determined from the image correspondences of four points, no three collinear, and can be estimated by solving a set of linear equations. The second result concerns the three-view problem. It is proved that given four image point correspondences in three perspective views of a planar patch undergoing general three-dimensional rigid body motion, the number of solutions for the motion parameters is one, as opposed to two [2] when only two perspective views are given.
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U2 - 10.1109/TASSP.1984.1164313
DO - 10.1109/TASSP.1984.1164313
M3 - Article
AN - SCOPUS:0021411805
SN - 0096-3518
VL - 32
SP - 213
EP - 220
JO - IEEE Transactions on Acoustics, Speech, and Signal Processing
JF - IEEE Transactions on Acoustics, Speech, and Signal Processing
IS - 2
ER -