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We propose a pair of shape features for shape-similarity search of 3D (three-dimensional) polygonal-mesh models. The shape features are an extension of the D2 shape functions proposed by Osada et al. (2001). Our proposed shape features are tolerant of topological variations and geometrical degeneracies. Our shape feature is also invariant to similarity transformation. Experiments showed that, with only a modest increase in computational cost, our shape feature achieved a significant performance improvement over Osada's D2.