Groupwise Shape Correspondence Refinement with a Region of Interest Focus

Abstract

While collections of scan shapes are becoming more prevalent in many real-world applications, finding accurate and dense correspondences across multiple shapes remains a challenging task. In this work, we introduce a new approach for refining non-rigid correspondences among a collection of 3D shapes undergoing non-rigid deformation. Our approach incorporates a Region Of Interest (ROI) into the refinement process, which is specified by the user on one shape within the collection. Based on the functional map framework and more specifically on the notion of cycle-consistency, our formulation improves the overall matching consistency while prioritizing that of the region of interest. Specifically, the initial pairwise correspondences are refined by first defining the localized harmonics that are confined within the transferred ROI on each shape, and subsequently applying the CCLB (Canonical Consistent Latent Basis) framework both on the global and the localized harmonics. This leads to an enhanced matching accuracy for both the ROIs and the overall shapes across the collection. We evaluate our method on various synthetic and real scan datasets, in comparison with the state-of-the-art techniques.