Geometry on the Gluing Locus of Two Surfaces
Li Junzhen
TL;DR
This paper investigates the geometric properties of gluing two surfaces along a curve, introducing developable surfaces with respect to a moving frame to analyze the resulting surface's geometry.
Contribution
It introduces a novel approach using a moving frame to study the geometry of glued surfaces along a curve, focusing on developable surfaces.
Findings
Characterization of developable surfaces in the gluing process
Insights into the geometric structure of glued surfaces
Potential applications in surface modeling and design
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.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Advanced Numerical Analysis Techniques · Image Processing and 3D Reconstruction