Level set evolution for boundary extraction based on a p-Laplace equation

Integrating local distribution information with level set for boundary extraction

This paper presents a general object boundary extraction model for piecewise smooth images, which incorporates local intensity distribution information into an edge-based implicit active contour. Unlike traditional edge-based active contours that use gradient to detect edges, our model derives the neighborhood distribution and edge information with two different region-based operators: a Gaussi...

ENCLOSURE METHOD FOR THE p-LAPLACE EQUATION

We study the enclosure method for the p-Calderón problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderón that involves the p-Laplace equation. The method allows one to reconstruct the convex hull of an inclusion in the nonlinear model by using exponentially growing solutions introduced by Wolff. We justify this method for the penetrable obstacle case, wh...

A Level-set-based Detail-extraction Method

A level set based detail extraction method from images is presented in this paper. The method uses level set to encode the large-scale variation in the image and extracts detail from this variation. This method can compute the detail from images quite fast. The separated detail can be used for compensating the detail loss in High Dynamic Range (HDR) image compression using global tone mapping a...

Regularization for a Laplace Equation with Nonhomogeneous Neumann Boundary Condition

We consider the following problem  uxx + uyy = 0, (x, y) ∈ (0, π)× (0, 1) u(0, y) = u(π, y) = 0, y ∈ (0, 1) uy(x, 0) = g(x), 0 < x < π u(x, 0) = φ(x), 0 < x < π The problem is shown to be ill-posed, as the solution exhibits unstable dependence on the given data functions. Using the new method, we regularize of problem and obtain some new results. Some numerical examples are given to illu...

A Free Boundary Problem for 1{laplace Equation