mean curvature (plane curve)
Let be a piecewise planar curve.
The total curvature, , of is defined to be where is parameterized by arclength and is the curvature (http://planetmath.org/CurvatureOfACurve) of .
The mean curvature of is defined to be the ratio of the total curvature to the length of :
Title | mean curvature (plane curve) |
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Canonical name | MeanCurvatureplaneCurve |
Date of creation | 2013-03-22 15:31:16 |
Last modified on | 2013-03-22 15:31:16 |
Owner | Mathprof (13753) |
Last modified by | Mathprof (13753) |
Numerical id | 11 |
Author | Mathprof (13753) |
Entry type | Definition |
Classification | msc 53A04 |
Related topic | MeanCurvatureAtSurfacePoint |
Defines | total curvature |
Defines | mean curvature |