RegionMeanCurvature
RegionMeanCurvature[reg,p]
gives the mean curvature of the region reg at the point p.
Details
- RegionMeanCurvature is also known as average curvature.
- RegionMeanCurvature is typically used to characterize the local shape and curvature of surfaces.
- RegionMeanCurvature[reg,p] gives the mean curvature of reg at p.
- RegionMeanCurvature[reg,p] is effectively equivalent to (RegionMinCurvature[reg,p] + RegionMaxCurvature[reg,p])/2.
Examples
open all close allBasic Examples (1)
Scope (9)
Formula Regions (1)
The mean curvature of a sphere represented as an ImplicitRegion:
Mesh Regions (2)
The mean curvature of a MeshRegion:
Use "MeshCoordinates" to compute the mean curvature at each vertex of the mesh:
The mean curvature of a BoundaryMeshRegion:
Use "MeshCoordinates" to compute the mean curvature at each vertex of the boundary mesh:
Text
Wolfram Research (2025), RegionMeanCurvature, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionMeanCurvature.html.
CMS
Wolfram Language. 2025. "RegionMeanCurvature." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionMeanCurvature.html.
APA
Wolfram Language. (2025). RegionMeanCurvature. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionMeanCurvature.html