Geometry on the Gluing Locus of Two Surfaces

2025/06/02 by Li Junzhen, Junzhen, Li
Engineering · Computer Science · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Advanced Numerical Analysis Techniques #Image Processing and 3D Reconstruction

paper · pdf · doi:10.48550/arxiv.2506.01397

Abstract

In this paper, we deal with the gluing of two surfaces, where the gluing locus is assumed to be a curve. We consider a moving frame along the gluing locus, and define developable surfaces with respect to the frame. Considering geometric properties of these developable surfaces, we study the geometry of gluing two surfaces.

Citations

• On the existence of four or more curved foldings with common creases and crease patterns
• Curved foldings with common creases and crease patterns
• Flat surfaces along swallowtails
• Singularities of flat extensions from generic surfaces with boundaries
• Singularities of Maximal Surfaces

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