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2007, 2007(Special): 44-53. doi: 10.3934/proc.2007.2007.44

Contour enhancement via a singular free boundary problem

Anna Lisa Amadori 1,

1. 

Dipartimento di Scienze Applicate - Università di Napoli "Parthenope", Via A. De Gasperi, 5 - 80133 Napoli, Italy

Received  September 2006 Revised  August 2007 Published  September 2007

We study a degenerate nonlinear parabolic equation with moving boundaries which describes the technique of contour enhancement in image processing. Such problem arises from the model by Malladi and Sethian after an asymptotic expansion suggested by Barenblatt: in order to recover the phenomenon of mass concentration, a singular data is imposed at the free boundary.
Keywords: Free boundary problems, image processing..
Mathematics Subject Classification: Primary: 35R35, 94A08; Secondary: 35K55, 35K65.
Citation: Anna Lisa Amadori. Contour enhancement via a singular free boundary problem. Conference Publications, 2007, 2007 (Special) : 44-53. doi: 10.3934/proc.2007.2007.44
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