Image warping using derivative information

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Abstract
Following the pioneering work of Bookstein and Green on using edgel information through splines, we provide a kriging approach which is general, exact and theoretically elegant. We give first the mathematical formulation through the regression approach of the kriging predictor with derivative information on line. It is shown how Bookstein and Green's limiting approach leads to the same operational solution. Further, the predictor and the bending energy are decomposed into relevant parts. We extend our approach to any dimension including the edgel case. Some applications to medical images are provided.

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