Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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DISCRETE CURVATURE BASED ON AREA

  • Received : 2010.01.26
  • Accepted : 2010.02.23
  • Published : 2010.03.25
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Abstract

The concept of discrete curvature is a discretization of the curvature. Many literatures introduce discrete curvatures derived from arc length of circular arcs. We propose a new concept of discrete curvature of a polygon at each vertex, which is derived from area of fan shapes. We estimate the error of the discrete curvature and compare the discrete curvature with old one.

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References

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  1. Curvature for Polygons vol.122, pp.4, 2015, https://doi.org/10.4169/amer.math.monthly.122.04.332