Displaying similar documents to “Curve shortening makes convex curves circular.”

Piecewise Convex Curves and their Integral Representation

Nedelcheva, M. D. (2006)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 52A10. A convex arc in the plane is introduced as an oriented arc G satisfying the following condition: For any three of its points c1 < c2 < c3 the triangle c1c2c3 is counter-clockwise oriented. It is proved that each such arc G is a closed and connected subset of the boundary of the set FG being the convex hull of G. It is shown that the convex arcs are rectifyable and admit a representation in the natural parameter by the...

Miror Curves

Slavik Jablan (2001)

Visual Mathematics

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