Analytical and numerical aspects on motion of polygonal curves with constant area speed

Details Analytical and numerical aspects on motion of polygonal curves with constant area speed Analytical and numerical aspects on motion of polygonal curves with constant area speed

2008-02-15

arxiv.org/abs/0802.2204v3

Mathematics

Numerical Analysis

Proceedings of Slovak-Austrian Mathematical Congress, within MAGIA 2007, Dept. of Mathematics and Descriptive Geometry, Facult

Scientific paper

General area-preserving motion of polygonal curves is formulated as a system
of ODEs. Solution polygonal curves belong to a prescribed polygonal class,
which is similar to the admissible class used in the crystalline curvature
flow. The ODEs are discretized implicitly in time keeping a given constant area
speed while solution polygonal curves keep belonging to the polygonal class.

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