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Annual Review of Fluid Mechanics, ISSN 0066-4189, 1/2018, Volume 50, Issue 1, pp. 49 - 75
Journal Article
International Journal of Engineering and Technology(UAE), 2018, Volume 7, Issue 2, pp. 140 - 143
Journal Article
International Journal of Pure and Applied Mathematics, ISSN 1311-8080, 2017, Volume 114, Issue 10, pp. 119 - 130
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 10/2018, Volume 371, pp. 896 - 913
This article describes a new numerical scheme to model surface tension for an interface represented by a level-set function. In contrast with previous schemes,... 
Thermo-capillarity | Levelset | Surface tension | Marangoni | Momentum conservation | Well-balanced | VOLUME | PHYSICS, MATHEMATICAL | INTERFACIAL FLOWS | DIRECT NUMERICAL-SIMULATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | TRACKING | COMPUTATION | OF-FLUID METHOD | SCHEMES | Mechanics | Mechanics of the fluids | Mathematics | Numerical Analysis | Physics
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 05/2019, Volume 134, pp. 1091 - 1100
•Immersed volume method for modeling surface radiation.•Monolithic solid and fluid approach.•Surface-to-surface calculations on immersed domains.•Level-set... 
Surface radiation | LevelSet | Natural convection | Monolithic approach | View factors | Interface reconstruction | VIEW-FACTORS | HEAT-TRANSFER | CONVECTION | CAVITY | FORMULATION | ENGINEERING, MECHANICAL | MECHANICS | THERMODYNAMICS | SIMULATIONS | Finite element method | Algorithms | Heat exchange | Free convection | Heat transfer | Mechanics | Physics
Journal Article
ALGEBRAIC AND GEOMETRIC TOPOLOGY, ISSN 1472-2739, 2019, Volume 19, Issue 2, pp. 657 - 700
This paper introduces parametrized homology, a continuous-parameter generalization of levelset zigzag persistent homology that captures the behavior of the... 
MATHEMATICS | TOPOLOGICAL PERSISTENCE | STABILITY
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 03/2015, Volume 258, Issue 5, pp. 1801 - 1858
This paper is concerned with the Neumann problem of a stationary Lotka-Volterra competition model with diffusion and advection. First we obtain some sufficient... 
Bifurcation | Nonlocal constraint | Degree | Singular perturbation | Reaction-diffusion-advection system | Levelset analysis | SEMILINEAR ELLIPTIC-EQUATIONS | POSITIVE SOLUTIONS | DISPERSAL | MATHEMATICS | COEXISTENCE | EVOLUTION | CROSS-DIFFUSION | SPATIAL SEGREGATION | SPECIES MODEL | SYSTEMS
Journal Article
Procedia Computer Science, ISSN 1877-0509, 2017, Volume 111, pp. 245 - 251
This paper proposes a new and efficient image feature descriptor using Euler Number with the help of segmentation according to given number of levelsest. The... 
LevelSet | Number | image classification | image feature | image segmentation
Journal Article
Advances in Applied Mathematics and Mechanics, ISSN 2070-0733, 01/2016, Volume 8, Issue 2, pp. 187 - 212
We develop a numerical method to simulate a two-phase compressible flow with sharp phase interface on Eulerian grids. The scheme makes use of a levelset to... 
Riemann problem | Two-phase flow | Levelset | LEVEL SET METHOD | MATHEMATICS, APPLIED | MECHANICS | FRONT-TRACKING METHOD | levelset | SIMULATION
Journal Article
Optimization Methods and Software, ISSN 1055-6788, 03/2018, Volume 33, Issue 2, pp. 372 - 395
Journal Article
Homology, Homotopy and Applications, ISSN 1532-0073, 2013, Volume 15, Issue 1, pp. 51 - 72
Given a continuous function f: X -> R on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks... 
Persistence | Levelset | Zigzag | Homology | Robustness | Perturbation | Well group | MATHEMATICS | MATHEMATICS, APPLIED | well group | homology | perturbation | robustness | persistence | levelset | zigzag
Journal Article
Inverse Problems and Imaging, ISSN 1930-8337, 06/2017, Volume 11, Issue 3, pp. 577 - 600
Region-based image segmentation is well-addressed by the ChanVese (CV) model. However, this approach fails when images are affected by artifacts (outliers) and... 
ChanVese | Threshold dynamics | Artifacts | Image segmentation | Retinex | Bias | MBO | Dynamic labeling | Levelset method | MATHEMATICS, APPLIED | LEVEL SET EVOLUTION | MUMFORD | Chan-Vese | MODEL | ALGORITHMS | threshold dynamics | PHYSICS, MATHEMATICAL | dynamic labeling | MINIMIZATION | bias | levelset method | FRAMEWORK | SCALABLE FITTING ENERGY | ACTIVE CONTOURS | SHAPE PRIORS | artifacts
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2016, Volume 9515, pp. 117 - 128
Conference Proceeding
Measurement, ISSN 0263-2241, 10/2015, Volume 74, pp. 103 - 112
In this work, Minkowski functionals (MFs) based brain to ventricle index is proposed to quantify the structural changes in Alzheimer’s MR brain images for... 
Minkowski functionals | Levelset | Ventricle | Alzheimer Disease | MF2D brain to ventricle index | DIAGNOSIS | LEVEL SET EVOLUTION | INSTRUMENTS & INSTRUMENTATION | ENGINEERING, MULTIDISCIPLINARY | ALZHEIMERS-DISEASE | SEGMENTATION | ENLARGEMENT | Magnetic resonance imaging | Development and progression | Alzheimer's disease
Journal Article
Computer Vision and Image Understanding, ISSN 1077-3142, 09/2013, Volume 117, Issue 9, pp. 1051 - 1060
•Landmark free Active Appearance Model can segment multiple objects simultaneously.•Prostate, central gland, peripheral zone segmented with dice=.81, .79,... 
Active Appearance Models | Levelsets | Prostate segmentation | LOCALIZATION | SHAPE MODELS | CANCERS | MAGNETIC-RESONANCE IMAGES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | FEATURES | ENGINEERING, ELECTRICAL & ELECTRONIC | ATLAS | MUTUAL INFORMATION | TRANSITION ZONE | AUTOMATIC SEGMENTATION | 3D MR-IMAGES | Prostate Segmentation
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 03/2020, Volume 405, p. 109005
A sharp-interface method is developed to calculate the vaporization of droplets in high-speed flows. The levelset method is used to track the liquid-gas... 
Ghost fluid method | Droplet vaporization | Shock-droplet interaction | Sharp-interface method | Levelset method
Journal Article