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Proposes cage-based deformation structural affinity regularization algorithm

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Aviraj Newatia et al. propose Structural Affinity in arXiv, an explicit regularization method for cage-based deformation (CBD): it precomputes an affinity matrix using mean value coordinates, binds inner control cages to coarser outer control cages, couples control handle motion, enables smooth propagation of displacements, reduces cage self-intersection and mesh distortion, and adds only linear overhead during deformation. The authors report that in three tasks—robot control-morphology co-design, source-to-target neural deformation transfer, and pneumatic wing shape optimization—the method produces more regular deformations and achieves consistent improvements on three diagnostics: cotangent Laplacian, cage distortion, and surface roughness, while reducing reliance on hand-designed structural loss terms.

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  1. Structural Affinity: A Regularization Algorithm for Cage-Based Shape Design

    Structural Affinity is an explicit regularization method for cage-based deformation (CBD). It uses a two-cage structure and an affinity matrix precomputed with mean-value coordinates to couple the motion of inner and outer control cages, so that control handle displacements propagate smoothly to neighboring handles, greatly reducing and often eliminating cage self-intersection and mesh distortion, while adding only linear overhead during deformation.

    arXiv cs.RO ·

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