Shape derivatives and topological derivatives have been incorporated into level set methods to investigate shape optimization problems. The shape derivative measures the sensitivity of boundary perturbations while the topological derivative measures the sensitivity of creating a small hole in the interior domain. The combination of these two derivatives yields an efficient algorithm which has m...

Several silicon dioxide chemical vapor deposition processes using high density plasma sources have been recently proposed in the literature [4,6] for deposition of self-planarizing inter-level dielectric deposition. All these processes exhibit the competitive effect of simultaneous deposition and etching mechanisms. In previous papers [1,2,3], a level set approach was developed for etching and ...

Since the seminal work of [92] on coupling the level set method of [69] to the equations for two-phase incompressible flow, there has been a great deal of interest in this area. That work demonstrated the most powerful aspects of the level set method, i.e. automatic handling of topological changes such as merging and pinching, as well as robust geometric information such as normals and curvatur...

Level set methods have been proven to be efficient tools for tracing interface problems. Recently, some variants of the Osher-Sethian level set methods, which is called the Piecewise Constant Level Set Methods (PCLSM), have been proposed for some interface problems. The methods need to minimize a smooth cost functional under some special constraints. A fast algorithm for image segmentation is p...

In this paper we analyze numerical optimization procedures in the context of level set based image segmentation. The Chan-Vese functional for image segmentation is a general and popular variational model. Given the corresponding Euler-Lagrange equation to the ChanVese functional the region based segmentation is usually done by solving a differential equation as an initial value problem. While m...

This paper is concerned with the extraction of controllers for hybrid systems with respect to eventuality specifications. Given a hybrid system modelled by a hybrid automaton and a target set of states, the objective is to compute the maximal set of initial states together with the hybrid control policy such that all the trajectories of the controlled system reach the target in finite time. Due...

This paper addresses the issue of accurate lesion segmentation in retinal imagery, using level set methods and a novel stopping mechanism an elementary features scheme. Specifically, the curve propagation is guided by a gradient map built using a combination of histogram equalization and robust statistics. The stopping mechanism uses elementary features gathered as the curve deforms over time, ...

This paper presents an improved contour extraction method based on CT images of the left ventricle. It provides the basis for three-dimensional and four-dimensional reconstruction of post-cardiac imaging. In this method, original CT image will be segmented by CV level set methods after the pre-treatment of the image firstly, and we derive boundary point set from energy function minimization inf...

Several silicon dioxide chemical vapor deposition processes using high density plasma sources have been recently proposed in the literature [11, 7] for deposition of self-planarizing inter-level dielectric deposition. All these processes exhibit the competitive effect of simultaneous deposition and etching mechanisms. This paper describes the use of a robust simulation technique that can includ...

In this work, we consider hydrodynamic problems with cold flame propagation by merging a second-order projection method for viscous Navier-Stokes equations with modern techniques for computing the motion of interfaces propagating with curvature-dependent speeds. This is part of our efforts to try and approximate the solution of a simplified model of turbulent combustion. Results are given for a...