Least-squares fitting of multiple M-dimensional point sets

Authors:
Gaojin Wen;Zhaoqi Wang;Shihong Xia;Dengming Zhu
Affiliations:
Institute of Computing Technology, Chinese Academy of Sciences, 100080, Beijing, China and Graduate school of the Chinese Academy of Sciences, 100080, Beijing, China;Institute of Computing Technology, Chinese Academy of Sciences, 100080, Beijing, China;Institute of Computing Technology, Chinese Academy of Sciences, 100080, Beijing, China;Institute of Computing Technology, Chinese Academy of Sciences, 100080, Beijing, China and Graduate school of the Chinese Academy of Sciences, 100080, Beijing, China
Venue:
The Visual Computer: International Journal of Computer Graphics
Year:
2006

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Abstract

Based on the classic absolute orientation technique, a new method for least-squares fitting of multiple point sets in m-dimensional space is proposed, analyzed and extended to a weighted form in this paper. This method generates a fixed point set from k corresponding original m-dimensional point sets and minimizes the mean squared error between the fixed point set and these k point sets under the similarity transformation. Experiments and interesting applications are presented to show its efficiency and accuracy.