Perceptually motivated shape evolution with shape-preserving property

In this paper, we introduce a novel concept of shape evolution. This concept is based on the idea of deforming the so-called opposite segments instead of the whole shape. It is perceptually motivated and takes the local shape symmetry into account. In particular, during the new shape evolution the shape parts in accordance with the human perception are removed step by step and the coarse parts remain geometrically unchanged during the removal of the fine parts. This shape-preserving property cannot be achieved by the popular Gaussian smoothing (evolution based on geometric heat flow) and related variants. Experimental results demonstrate the behavior and power of this new shape-evolution scheme.