Three Dimensional Distance Field Metamorphosis


Daniel Cohen-Or, David Levin and Amira Solomovici

School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv 69978, Israel


Abstract

Given two or more objects of general topology, intermediate objects are constructed by a distance field metamorphosis. In the presented method the interpolation of the distance field is guided by a warp function which is controlled by a set of corresponding anchor points.

Some rules for defining a smooth least-distorting warp function are given. To reduce the distortion of the intermediate shapes, the warp function is decomposed into a rigid rotational part and an elastic part. The distance field interpolation method is modified so that the interpolation is done in correlation with the warp function.

The method provides the animator with a technique, which can be used to create a set of models forming a smooth transition between pairs of a given sequence of general keyframe models. The advantage of the new approach is that it is capable of morphing between objects having a different topological genus, with most general object representations, and where no correspondence between the geometric primitives of the models need be established. The desired general correspondence is defined by an animator in terms of a relatively small number of anchor points.


Animations (in MPEG format)



3D Morphing Animation(152K)


3D Morphing Animation(90K)


3D Morphing Animation(38K)



Address: Dept. of Computer Science, School of Mathematical Sciences,
Tel-Aviv University, Tel-Aviv 69978, Israel.
Phone: +972-3-640-7598
Fax: +972-3-640-9357
E-mail: {daniel | levin | amira}@math.tau.ac.il