Continuous field based free-form surface modeling and morphing

∗ Corresponding author. Tel. 86-571-7951045. Fax. 86-571-7951780. Email: [email protected] Abstract In this paper, we present a novel continuous field based free-form surface modeling and morphing algorithm. Polyhedra are used in our algorithm as the skeletons of the free-form surfaces. Unlike the conventional methods, we first construct a continuous field from each skeleton using variational interpolation, all these fields are then fused into a global continuous field using blending, warping and boolean operations. The final surface is approximated by the iso-surface of the global field. Based on the field blending operation, our modeling algorithm can easily perform 3D morphing between two arbitrary polyhedra in an intuitive and controllable manner by introducing certain constraints. Several examples are shown to demonstrate our method can be used to naturally and intuitively model complex free-form surfaces and morph in a controllable way.