Computer Graphics, 26, 2, July 1992 Shape Transformation for Polyhedral Objects James R. Kent Wayne E. Carlson Richard E. Parent Department of Computer and Information Science Advanced Computing Center for the Arts and Design The Ohio State University Columbus, Ohio 43210 Abstract Techniques that transform one two-dimensionaf image into another have gained widespread use m recent yeara. Extending these techniques to transform pairs of 3D objects, as opposed to 2D images of the objects, providea several advsntagea, including the ability to snimate the objects independently of the transformation. This paper presents an algorithm for computing such transformations. The algorithm merges the topological structures of a pair of 3D polyhedral models into a common vertex/edgeJface network. This allows trsmsformations from one object to the other to be easily computed by interpolating between corresponding v@ex positions. jects to be animated independently of the trartsformatio~ using computer animation tec~lques such as key frsming. In addition, 3D transformations can be used in design to create objects that combine features of the original objects ([4], [8], [14]). This paper presents an algorithm that, given two 3-D polyhedral models, generates two new models that have the same sh~ as the original ones, but that
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