Similarity measures for blending polygonal shapes

Abstract This paper presents a solution to the correspondence problem for polygon blending, based on a morphological characterization of the shape. The approximate skeleton is suggested for coding the shape as a graph of meaningful areas, and the correspondence problem is therefore solved as a skeleton matching process. The correspondences are found taking into account the global structure of the shapes, and also local similarity criteria are used to further refine the matching. The approximated skeleton resembles the medial axis, but it is much simpler to extract and may be easily pruned to reduce the effects of small scale details of the shapes’ boundary. The first implementation results confirm the validity of the approach for driving the blending both in surface reconstruction or morphing contexts.

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