On the Stability Problem of Equilibrium Discrete Planar Curves
نویسندگان
چکیده
Abstract We study planar polygonal curves with the variational methods. show a unified interpretation of discrete curvatures and Steiner-type formula by extracting notion curvature vector from first variation length functional. Moreover, we determine equilibrium for functional under area-constraint condition their stability.
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ژورنال
عنوان ژورنال: Discrete and Computational Geometry
سال: 2021
ISSN: ['1432-0444', '0179-5376']
DOI: https://doi.org/10.1007/s00454-021-00307-2