Conformal deformation method for geometric modeling

In this paper, we present a conformal mapping-based deformation method which is well suited to sculpt the solid models globally. There are two characters of the method proposed. First, due to the properties of conformal mapping, the scheme satisfies the local demands on rigidity and still allows for considerable global deformation. Second, the deformation effect is predictable and the transformation function can be calculated analytically. We show that the transformation is continuous, not self-intersection, and topologically consistent. Finally, we present some examples to illustrate our approach.