- publication
- SIGGRAPH ASIA 2024 (journal paper)
- authors
- Annika Oehri, Aviv Segall, Jing Ren, Olga Sorkine-Hornung
abstract
Distortion-minimizing surface parameterization is an essential step for computing 2D pieces necessary to fabricate a target 3D shape from flat material. Garment design and textile fabrication are a prominent application example. Common distortion measures quantify length, angle or area preservation in an isotropic manner, so that when applied to woven textile fabrication, they implicitly assume fabric behaves like paper, which is inextensible in all directions and does not permit shearing. However, woven fabric differs significantly from paper: it exhibits anisotropy along the yarn directions and allows for some degree of shearing. We propose a novel distortion energy based on Chebyshev nets that anisotropically penalizes shearing and stretching. Our energy formulation can be used as an optimization objective for surface parameterization and is simple to minimize via a local-global algorithm. We demonstrate its advantages in modeling nets or woven fabric behavior over the commonly used isotropic distortion energies.
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acknowledgments
This work was supported in part by the ERC Consolidator Grant No. 101003104 (MYCLOTH). The authors would like to thank the anonymous reviewers for their valuable feedback. Special thanks to Corentin Dumery and Nico Pietroni for their help with comparison to YAF, and to all members of IGL for the insightful discussions and kind support.