Least-Squares Transformations Between Point-Sets
IMAGE ANALYSIS, SCIA 2013: 18TH SCANDINAVIAN CONFERENCE(2013)
摘要
This paper derives formulas for least-squares transformations between point-sets in R-d. We consider affine transformations, with optional constraints for linearity, scaling, and orientation. We base the derivations hierarchically on reductions, and use trace manipulation to achieve short derivations. For the unconstrained problems, we provide a new formula which maximizes the orthogonality of the transform matrix.
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关键词
least-squares, transformation, point-set, rank-deficient
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