Some classes of frontals and its representation formulas
T. A. Medina-Tejeda
TL;DR
This paper characterizes the extendibility of normal curvature on frontals, provides representation formulas for various types of frontals and wavefronts, and explores applications to asymptotic curves and lines of curvature.
Contribution
It introduces new representation formulas for frontals and wavefronts, expanding understanding of their geometric properties and singularities.
Findings
Characterization of normal curvature extendibility on frontals
Representation formulas for wavefronts with singularities
Applications to asymptotic curves and lines of curvature
Abstract
We characterize the extendibility of the normal curvature on frontals and we give a representation formula of this type of frontals. Also we give representation formulas for wavefronts on all types of singularities and others sub classes of these. Some applications to asymptotic curves and lines of curvature on frontals are made.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · 3D Shape Modeling and Analysis