Surface Concavity

To check the concavity of a surface, proceed as follows:

Sample the surface and compute at each point the Gaussian curvature.

If the value of the curvature changes of sign, the surface is concave or convex depending on the point of view.

To compute a Gaussian curvature, use the class SLprops from GeomLProp which instantiates the generic class SLProps from LProp and use the method GaussianCurvature.

For more information, refer to the entry for this class in reference documentation.