Myungjoo Kang

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We develop a fast method to localize the level set method of Osher and Sethian (1988, J. Comput. Phys. 79, 12) and address two important issues that are intrinsic to the level set method: (a) how to extend a quantity that is given only on the interface to a neighborhood of the interface; (b) how to reset the level set function to be a signed distance(More)
In [6], the Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contact discontinuity in the inviscid compressible Euler equations. In [11], related techniques were used to develop a boundary condition capturing approach for the variable coefficient Poisson equation on domains with an embedded interface. In this paper, these new(More)
In this paper, we consider the variable coefficient Poisson equation with Dirichlet boundary conditions on an irregular domain and show that one can obtain second order accuracy with a rather simple discretization. Moreover, since our discretization matrix is symmetric, it can be inverted rather quickly as opposed to the more complicated nonsymmetric(More)
In this paper, we propose a new numerical method for treating two phase incompressible flow where one phase is being converted into the other, e.g. the vaporization of liquid water. We consider this numerical method in the context of treating discontinuously thin flame fronts for incompressible flow. This method was designed as an extension of the Ghost(More)
We present a customized high content (image-based) and high throughput screening algorithm for the quantification of Trypanosoma cruzi infection in host cells. Based solely on DNA staining and single-channel images, the algorithm precisely segments and identifies the nuclei and cytoplasm of mammalian host cells as well as the intracellular parasites(More)
We reproduce the general behavior of complicated bubble and droplet motions using the variational level set formulation introduced by the authors earlier. Our approach here ignores inertial effects; thus the motion is only correct as an approximation for very viscous problems. However, the steady states are true equilibrium solutions. Inertial forces will(More)
1047-3203/$ see front matter 2013 Elsevier Inc. A ⇑ Corresponding author. E-mail addresses: (S. Oh), hye (S. Yun), (M Image restoration problems, such as image denoising, are important steps in various image processing method, such as image segmentation and(More)
A Level Set Method for Thin Film Epitaxial Growth1 Susan Chen,∗ Barry Merriman,∗ Myungjoo Kang,∗ Russel E. Caflisch,∗ Christian Ratsch,∗,† Li-Tien Cheng,∗,3 Mark Gyure,† Ronald P. Fedkiw,‡,2 Christopher Anderson,∗ and Stanley Osher∗ ∗Mathematics Department, University of California at Los Angeles, Los Angeles, California 90095-1555; †HRL Laboratories,(More)