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Principal curves have been defined as "self consistent" smooth curves which pass through the "middle" of a d-dimensional probability distribution or data cloud...
In this paper novel theory to automate shape modelling is described. The main idea is to develop a theory that is intrinsically defined for curves, as opposed to a finite sample o...
In order to analyze shapes of continuous curves in R3 , we parameterize them by arc-length and represent them as curves on a unit two-sphere. We identify the subset denoting the cl...