A solution to the weighted procrustes problem in which the transformation is in agreement with the loss function |
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| Authors: | Robert W Lissitz Peter H Schönemann James C Lingoes |
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| Institution: | (1) Purdue University, USA;(2) University of Michigan, USA;(3) Department of Psychology, University of Georgia, 30602 Athens, Georgia |
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| Abstract: | This paper provides a generalization of the Procrustes problem in which the errors are weighted from the right, or the left, or both. The solution is achieved by having the orthogonality constraint on the transformation be in agreement with the norm of the least squares criterion. This general principle is discussed and illustrated by the mathematics of the weighted orthogonal Procrustes problem. |
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| Keywords: | rotation matching |
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