A propagating interface can develop corners and discontinuities as it advances. Level set algorithms have been extensively applied for the problems in which the solution has advancing fronts. One of the most popular level set algorithms is the so called fast marching method (FMM), which requires total O(N log2N) operations, where N is the number of grid points. The article is concerned with the...

We study a level-set method for numerical shape optimization of elastic structures. Our approach combines the level-set algorithm of Osher and Sethian with the classical shape gradient. Although this method is not specifically designed for topology optimization, it can easily handle topology changes for a very large class of objective functions. Its cost is moderate since the shape is captured ...

1. Generalities about domain, or surface evolution problems 2 2. The Level Set Method for describing domain or interface evolution 3 2.1. Level Set framework and geometry 3 2.2. Surface evolution in the level set framework 4 2.3. A glimpse at the mathematical framework 5 2.4. Domain evolution as a boundary value problem: Eikonal equations 9 3. A model application of the level set framework 10 4...

Despite the sizable achievements obtained, the use of soft classi®ers is still limited by the lack of well-assessed and adequate methods for evaluating the accuracy of their outputs. This paper proposes a new method that uses the fuzzy set theory to extend the applicability of the traditional error matrix method to the evaluation of soft classi®ers. It is designed to cope with those situations ...

Rough set theory is a powerful mathematical tool that has been applied widely to extract knowledge from many databases .Rough set theory is proposed to mine rules from the Data warehouse. It constructs concise classification rules for each concept satisfying the given classification accuracy. Due to some drawbacks we suggest rough set with clustering methods to achieve more precision and Shows ...

A new high-resolution flux-based finite volume method for general advection equations in non-divergent form including a level set equation for moving interfaces is introduced. The method is applicable to the case of non-divergence free velocity and to general unstructured grids in higher dimensions. We show that the method is consistent and that the numerical solution fulfils discrete minimum/m...

In this paper, we propose the use of the Level–Set Method as the underlying technology of a volume sculpting system. The main motivation is that this leads to a very generic technique for deformation of volumetric solids. In addition, our method preserves a distance field volume representation. A scaling window is used to adapt the Level– Set Method to local deformations and to allow the user t...

In positron emission tomography (PET), a radioactive compound is injected into the body to promote a tissue-dependent emission rate. Expectation maximization (EM) reconstruction algorithms are iterative techniques which estimate the concentration coefficients that provide the best fitted solution, for example, a maximum likelihood estimate. In this paper, we combine the EM algorithm with a leve...

the interaction of magnesium hydrate at the phosphate oxygen atom of the pyrimidine nucleotides (cmp,ump,dtmp) were studied at the hartree-fock level theory. we used lanl2dz basis set for mg and 6-31g* basis set for atoms.the basis set superposition error (bsse) begins to converge for used method/basis set. the gauge-invariant atomic orbital (giao) method and the continuous-set-of-gauge-transfo...

Suitable site selection for a specific purpose is a crucial activity, and of the greatest importance to a project manager. Several methods have been proposed by the research community for effective site selection, but all proposed methods incur high costs. This study explores the combination of a rough set theory approach (RSTA) with Technique for Order Preference by Similarity to Ideal Solutio...