In this paper the piecewise level set method is combined with phase field method to solve the shape and topology optimization problem. First, the optimization problem is formed based on piecewise constant level set method then is updated using the energy term of phase field equations. The resulting diffusion equation which updates the level set function and optimization ...

This paper presents a new biomedical image segmentation method that applies an edge-based level set method. According to low contrast in biomedical images, we mainly make focus on introducing the Laplace operator in external energy of level set method for accurately detecting object edge. A preliminary evaluation of the proposed method mainly performs on gallstone detection and extraction, mamm...

Large-scale constrained convex optimization problems arise in several application 4 domains. First-order methods are good candidates to tackle such problems due to their low iteration 5 complexity and memory requirement. The level-set framework extends the applicability of first-order 6 methods to tackle problems with complicated convex objectives and constraint sets. Current methods 7 based on...

The edge-based active contour model has been one of the most influential models in image segmentation, in which the level set method is usually used to minimize the active contour energy function and then find the desired contour. However, for infrared thermal pedestrian images, the traditional level set-based method that utilizes the gradient information as edge indicator function fails to pro...

This paper presents a fast algorithm for robust registration of shapes implicitly represented by signed distance functions(SDFs). The proposed algorithm aims to recover the transformation parameters(scaling, rotation, and translation) by minimizing the dissimilarity between two shapes. To achieve a robust and fast algorithm, linear orthogonal transformations are employed to minimize the dissimi...

C. Ratsch,* M. F. Gyure, R. E. Caflisch, F. Gibou, M. Petersen, M. Kang, J. Garcia, and D. D. Vvedensky Department of Mathematics, University of California, Los Angeles, California 90095-1555 HRL Laboratories LLC, 3011 Malibu Canyon Road, Malibu, California 90265 School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332 ~Received 23 May 2001; revised manuscript received 13 Dece...

A level-set method for the simulation of fluid interfaces with insoluble surfactant is presented in two-dimensions. The method can be straightforwardly extended to three-dimensions and to soluble surfactants. The method couples a semi-implicit discretization for solving the surfactant transport equation recently developed by Xu and Zhao [J. Xu, H. Zhao. An Eulerian formulation for solving parti...