Error-controllable CAGE sequence representation algorithm for dynamic grid
A technology of sequence representation and dynamic grid, applied in the field of error-controllable CAGE sequence representation algorithm, which can solve the problem of large global error of barycentric coordinates
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[0059] The present invention will be further described below in conjunction with specific examples.
[0060] The error-controllable CAGE sequence representation algorithm of the dynamic grid described in this embodiment is as follows:
[0061] Given a sequence of three-dimensional shapes S M =(M 0 , M 1 ,...,M F ) and the control grid C corresponding to one of the frames 0 , the control grid sequence S corresponding to the three-dimensional shape sequence can be obtained by reverse engineering algorithm C =(C 0 ,C 1 ,...,C F ). The mathematical description of the problem is as follows:
[0062] E. i =||ΦC i -M i || 2 (1)
[0063] In the formula, Φ represents the weight matrix composed of mean coordinates, which is calculated by the control grid and its corresponding grid model; M i is the i-th frame in the three-dimensional shape sequence, and the control grid C corresponding to this frame is obtained by solving the above optimization formula (1) i ; Perform th...
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