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.

翻译：折纸结构，特别是Miura-ori图案，为曲面逼近和可展设计提供了独特能力。本文针对通过输入曲面窄带近似设计曲面对齐的Miura-ori结构，设计了一种约束映射优化算法。嵌入窄带中的Miura折痕被参数化到平面域，并通过优化特定能量项和约束条件，在参数图案上计算映射。大量实验表明，我们的方法具有重要的实用意义和灵活性。