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We present a new approach for shape metamorphism, which is a process of gradually changing a source shape (known) through intermediate shapes (unknown) into a target shape (known). The problem, when represented with implicit scalar function, is under-constrained, and regularization is needed. Using the ¢ -Laplacian equation (PLE), we generalize a series of regularization terms based on the gradient of the implicit function, and we show that the present methods lack additional constraints for adoi:10.1109/icpr.2004.1333694 dblp:conf/icpr/CongEPB04 fatcat:nvdxxzqexzgq5grt2vjprrmbvi