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

- Source: arXiv cs.RO
- Published: 2026-10-19T04:00:00.000Z
- RoboHot: https://robohot.news/en/items/nzb1wxpzitbo2fpe9l6f57j4p
- Original: https://arxiv.org/abs/2610.23173

## Summary

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.