arXiv Machine Learning October 19, 2026 By Aviraj Newatia, Shengan Yang, Hantao Zhong, Rika Antonova

Structural Affinity: An Algorithm for Coherent Cage-Based Shape Design

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The paper introduces Structural Affinity, an explicit regularisation technique for cage-based deformation (CBD) that couples an inner control cage to a coarser outer cage via a precomputed affinity matrix derived from mean‑value coordinates. This method directly influences cage‑handle motion, reducing self‑intersections, mesh distortion, and the need for hand‑crafted loss terms. Experiments on robotic morphology co‑design, neural deformation transfer, and aerodynamic wing optimization demonstrate improved surface smoothness, coherent cage distortion, and reduced surface roughness.

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