Optimization of Constrained Quasiconformal Mapping for Origami Design
Computational Geometry
2026-04-23 v1 Optimization and Control
Abstract
Origami structures, particularly Miura-ori patterns, offer unique capabilities for surface approximation and deployable designs. In this study, a constrained mapping optimization algorithm is designed for designing surface-aligned Miura-ori via a narrow band approximation of the input surface. The Miura-fold, embedded in the narrow band, is parameterized to a planar domain, and a mapping is computed on the parameter pattern by optimizing certain energy terms and constraints. Extensive experiments are conducted, showing the significance and flexibility of our methods.
Cite
@article{arxiv.2604.20137,
title = {Optimization of Constrained Quasiconformal Mapping for Origami Design},
author = {Ka Ho Lai and Hei Tung Tsang and Gary P. T. Choi and Lok Ming Lui},
journal= {arXiv preprint arXiv:2604.20137},
year = {2026}
}