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Contour enhancement via a singular free boundary problem

Pages: 44 - 53, Issue Special, September 2007

 Abstract        Full Text (198.8K)              

Anna Lisa Amadori - Dipartimento di Scienze Applicate - Università di Napoli "Parthenope", Via A. De Gasperi, 5 - 80133 Napoli, Italy (email)

Abstract: 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

Received: September 2006;      Revised: August 2007;      Published: September 2007.