Title :
A second-order PDE technique to construct distance functions with more accurate derivatives
Author :
Manay, S. ; Yezzi, Anthony
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
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 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.
Keywords :
image processing; partial differential equations; anisotropic PDE; antigeometric heat flow; distance function derivative; second-order PDE technique; Anisotropic magnetoresistance; Computational modeling; Image registration; Laplace equations; Level set; Smoothing methods;
Conference_Titel :
Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on
Print_ISBN :
0-7803-7750-8
DOI :
10.1109/ICIP.2003.1247102