A second-order PDE technique to construct distance functions with more accurate derivatives

نویسندگان

  • Siddharth Manay
  • Anthony J. Yezzi
چکیده

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 ~ U I ~ relationship between this property and the oati-geometric heatflow. We then conshuct a PDE that combines a known f i rs tader PDE with the anti-geometric flow and then demonstrate its effectiveness with a discrete simulation.

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تاریخ انتشار 2003