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A SECOND-ORDER PDE TECHNIQUE TO CONSTRUCT DISTANCE FUNCTIONS WITH MORE ACCURATE DERIVATIVES.

By Siddhurth Munuy and Anthony Ezzi

Abstract

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 M ~UI ~ relationship between this property and the oati-geometric heatflow. We then conshuct a PDE that combines a known firstader PDE with the anti-geometric flow and then demonstrate its effectiveness with a discrete simulation. 1

Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.414.1608
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