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An Efficient and Accurate Method for the Relaxation of Multiview Registration Error

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3 Author(s)
Sheng-Wen Shih ; Dept. of Comput. Sci. & Inf. Eng., Nat. Chi Nan Univ., Nantou ; Yao-Tung Chuang ; Tzu-Yi Yu

This paper presents a new method for the relaxation of multiview registration error. The multiview registration problem is represented using a graph. Each node and each edge in the graph represents a 3-D data set and a pairwise registration, respectively. Assuming that all the pairwise registration processes have converged to fine results, this paper shows that the multiview registration problem can be converted into a quadratic programming problem of Lie algebra parameters. The constraints are obtained from every cycle of the graph to eliminate the accumulation errors of global registration. A linear solution is proposed to distribute the accumulation error to proper positions in the graph, as specified by the quadratic model. Since the proposed method does not involve the original 3-D data, it has low time and space complexity. Additionally, the proposed method can be embedded into a trust-region algorithm and, thus, can correctly handle the nonlinear effects of large accumulation errors, while preserving the global convergence property to the first-order critical point. Experimental results confirm both the efficiency and the accuracy of the proposed method.

Published in:

IEEE Transactions on Image Processing  (Volume:17 ,  Issue: 6 )