TY - JOUR

T1 - Estimating Three-Dimensional Motion Parameters of a Rigid Planar Patch

AU - Tsai, Roger Y.

AU - Huang, Thomas S.

PY - 1981/12

Y1 - 1981/12

N2 - We present a new direct method of estimating the three-dimensional motion parameters of a rigid planar patch from two time-sequential perspective views (image frames). First, a set of eight pure parameters are defined. These parameters can be determined uniquely from the two given image frames by solving a set of linear equations. Then, the actual motion parameters are determined from these pure parameters by a method which requires the solution of a sixth-order polynomial of one variable only, and there exists a certain efficient algorithm for solving a sixth-order polynomial. Aside from a scale factor for the translation parameters, the number of real solutions never exceeds two. In the special case of three-dimensional translation, the motion parameters can be expressed directly as some simple functions of the eight pure parameters Thus, only a few arithmetic operations are needed.

AB - We present a new direct method of estimating the three-dimensional motion parameters of a rigid planar patch from two time-sequential perspective views (image frames). First, a set of eight pure parameters are defined. These parameters can be determined uniquely from the two given image frames by solving a set of linear equations. Then, the actual motion parameters are determined from these pure parameters by a method which requires the solution of a sixth-order polynomial of one variable only, and there exists a certain efficient algorithm for solving a sixth-order polynomial. Aside from a scale factor for the translation parameters, the number of real solutions never exceeds two. In the special case of three-dimensional translation, the motion parameters can be expressed directly as some simple functions of the eight pure parameters Thus, only a few arithmetic operations are needed.

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U2 - 10.1109/TASSP.1981.1163710

DO - 10.1109/TASSP.1981.1163710

M3 - Article

AN - SCOPUS:0019680384

SN - 0096-3518

VL - 29

SP - 1147

EP - 1152

JO - IEEE Transactions on Acoustics, Speech, and Signal Processing

JF - IEEE Transactions on Acoustics, Speech, and Signal Processing

IS - 6

ER -