A Second Order PDE Technique to Construct Distance Functions With More Accurate Derivatives
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In this paper we demonstrate the use of an anisotropic PDE to improve the behavior of first and second derivatives of a distance function. We begin by deriving a property of these derivatives and showing a natural relationship between this property and the antigeometric heat flow. We then construct a PDE that combines a known first-order PDE with the antigeometric flow and then demonstrate its effectiveness with a discrete simulation.