Open AccessHarmonic Deformation of Planar Curves
Author(s) -
Eleutherius Symeonidis
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/141209
Subject(s) - mathematics , deformation (meteorology) , planar , harmonic function , mathematical analysis , function (biology) , harmonic , geometry , physics , acoustics , composite material , materials science , computer graphics (images) , evolutionary biology , computer science , biology
We establish a principle of deformation of an arbitrary planar curve, so that the integral of a harmonic function over this curve does not change. The equations of deformation can be derived from a specific “potential.” Several applications are presented
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