RegionGaussianCurvature
RegionGaussianCurvature[reg,p]
give the Gaussian curvature of the region reg at the point p.
Details
- RegionGaussianCurvature is also know as Gauss curvature.
- RegionGaussianCurvature is typically used to characterize the local shape and curvature of surfaces.
- RegionGaussianCurvature[reg,p] gives the Gaussian curvature of reg at p.
- RegionGaussianCurvature[reg,p] is effectively equivalent to RegionMinCurvature[reg,p]× RegionMaxCurvature[reg,p].
Examples
open all close allBasic Examples (1)
Scope (10)
Formula Regions (2)
Mesh Regions (2)
The Gaussian curvature of a MeshRegion:
Use "MeshCoordinates" to compute the Gaussian curvature at each vertex of the mesh:
The Gaussian curvature of a BoundaryMeshRegion:
Use "MeshCoordinates" to compute the Gaussian curvature at each vertex of the boundary mesh:
Text
Wolfram Research (2025), RegionGaussianCurvature, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionGaussianCurvature.html.
CMS
Wolfram Language. 2025. "RegionGaussianCurvature." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionGaussianCurvature.html.
APA
Wolfram Language. (2025). RegionGaussianCurvature. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionGaussianCurvature.html