SDFs in 2D A signed distance function in 2D is more straightforward to reason about so we’ll cover it first. Additionally, it is helpful for font rendering in specific scenarios.

Paul Carter, David Lowry-Duda, On Functions Whose Mean Value Abscissas Are Midpoints, with Connections to Harmonic Functions, The American Mathematical Monthly, Vol. 124, No. 6 (June-July 2017), pp.

It is proved here that this restricted mean value property implies h is harmonic under certain conditions. This monthly journal, published since 1900, is devoted entirely to research in pure and ...