Robot Vision
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A method for computing material deformations from multi-dimensional images of a biological specimen undergoing shape changes is presented. The specimen data is segmented within the images and the domain of the specimen is parametrized. The parametrization is a material coordinate system for the specimen. Deformations of the material coordinate system are computed by minimizing an energy functional that is a linear combination of a brightness continuity constraint and a shape-change constraint based on differential geometric properties of the parametrization. The resulting parametrization completely describes the position and shape-change of the specimen for the entire image sequence.