I have a convex polygon defined in a 3-D space. Such polygon has a variable number of vertices, since it is generated by a Voronoi Diagram. I know the values of a function on the vertices, and I would like to compute the gradient of such function at a point contained in the surface (namely its center of mass). Now, I know there is a very simple formula for this calculation if the polygon is a triangle (http://dgd.service.tu-berlin.de/wordpress/vismathws10/2012/10/17/gradient-of-scalar-functions/), I am wondering if it is possible to extend such idea to polygons with number of vertices greater than 3.
2026-03-29 18:49:33.1774810173
Gradient of a Function defined on a polygonal surface
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