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arXiv · 2604.20137

Optimization of Constrained Quasiconformal Mapping for Origami Design

Ka Ho Lai·Hei Tung Tsang·Gary P. T. Choi·Lok Ming Lui
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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.

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Ka Ho Lai, Hei Tung Tsang, Gary P. T. Choi, Lok Ming Lui. 2026-04-22. Optimization of Constrained Quasiconformal Mapping for Origami Design. https://arxiv.org/abs/2604.20137

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