On PDE Formulation of the Relaxed Version of Generalized Active Contour Model in Anisotropic Sobolev Space

Abstract

Mostly motivated by the image segmentation problem and its applications to the extraction of agricultural crop fields from satellite data, we propose a new PDE (partial differential equation) formulation for the piecewise constant approximation of satellite images. Our PDE approach is aimed at obtaining a relaxed version of active contour model with sufficiently fast segmentation process and with a flexible initialization option.

Keywords

• optimal segmentation problem
• piecewise smooth approximation
• level set method
• partial differential equation
• active contour model