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- Guang-Shan Jiang, Danping Peng
- SIAM J. Scientific Computing
- 2000

In this paper, we present a weighted ENO (essentially non-oscillatory) scheme to approximate the viscosity solution of the Hamilton-Jacobi equation: = 0: This weighted ENO scheme is constructed upon and has the same stencil nodes as the 3 rd order ENO scheme but can be as high as 5 th order accurate in the smooth part of the solution. In addition to the… (More)

In this paper we begin to explore the mathematical connection between equilibrium shapes of crystalline materials (Wull shapes) and shock wave structures in compressible gas dynamics (Riemann problems). These are radically diierent physical phenomena, but the similar nature of their discontinuous solutions suggests a connection. We show there is a precise… (More)

- Hong-Kai Zhao, Barry Merriman, +5 authors H. K. Zhao
- 1998

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)

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)

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)

As photomask critical dimensions shrink significantly below the exposure wavelength and the angle of off-axis illumination increases, the use of Kirchhoff thin mask approximation cannot capture diffraction and polarization effects that occur at a topographical mask surface. Such approximation errors result in inaccurate models that lead to poor prediction… (More)

- Zubin C. Bhaidasna, Sheetal Mehta, +9 authors T. Chan
- 2013

Image segmentation has played a vital role in image processing. The aim is to cluster the pixels into salient image regions consisting of individual surfaces, objects, etc. This paper describes various techniques used in image segmentation using level set method.

- David M. Ambrose, Connie Gerads, Katharine Gurski, Danping Peng, Vivek Shekhar, David K. Misemer
- 2007

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