Although the Level Set Method [4] has only recently been introduced as an image processing tool, it has already proved useful in delineating contours and in segmenting objects. However, since this method represents contours with images, processing time may increase considerably. To offset this problem, it is common to create a narrow band of the image points lying within a given distance to the...

In this paper we shall discuss the numerical simulation of higher order geometric flows by level set methods. Main examples under considerations are surface diffusion and the Willmore flow as well as variants and of them with more complicated surface energies. Such problems find various applications, e.g. in materials science (crystal growth, thin film technology), biophysics (membrane shapes),...

The level set method is a general approach to numerical computation for the motion of interfaces. Epitaxial growth of a thin film can be described by the evolution of island boundaries and step edges, so that the level set method is applicable to simulation of thin film growth. In layer-by-layer growth, for example, this includes motion of the island boundaries, merger or breakup of islands, an...

Article history: Received 28 June 2015 Received in revised form 18 February 2016 Accepted 10 June 2016 Available online xxxx

In this paper, the level set algorithm is examined with a view to applications in image and video processing, and machine vision. Conventional parametric deformable models, which can be viewed as Lagrangian geometric models, where the boundary of the model has the ability to align itself with certain image features, are initially presented. This paper describes some of the problems associated w...

The level set method is a general approach to numerical computation for the motion of interfaces. Epitaxial growth of a thin film can be described by the evolution of island boundaries and step edges, so that the level set method is applicable to simulation of thin film growth. In layer-by-layer growth, for example, this includes motion of the island boundaries, merger or breakup of islands, an...

We review some of the recent advances in level-set methods and their applications. In particular, we discuss how to impose boundary conditions at irregular domains and free boundaries, as well as the extension of level-set methods to adaptive Cartesian grids and parallel architectures. Illustrative applications are taken from the physical and life sciences. Fast sweeping methods are briefly dis...

Segmentation of images is often posed as a variational problem. As such, it is solved by formulating an energy functional depending on a contour and other image derived terms. The solution of the segmentation problem is the contour which extremizes this functional. The standard way of solving this optimization problem is by gradient descent search in the solution space, which typically suffers ...

A modular level set algorithm is developed to study the interface and its movement for free moving boundary problems. The algorithm is divided into three basic modules initialization, propagation and contouring. Initialization is the process of finding the signed distance function Φ from closed objects. We discuss here, a methodology to find an accurate Φ from a closed, simply connected surface...

Molecules interact through their surface residues. Calculation of the molecular surface of a protein structure is thus an important step for a detailed functional analysis. One of the main considerations in comparing existing methods for molecular surface computations is their speed. Most of the methods that produce satisfying results for small molecules fail to do so for large complexes. In th...