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- Hung-Ting Liu, Tony W. H. Sheu, Herng-Hua Chang
- Medical & Biological Engineering & Computing
- 2013

Skull-stripping in magnetic resonance (MR) images is one of the most important preprocessing steps in medical image analysis. We propose a hybrid skull-stripping algorithm based on an adaptive balloon snake (ABS) model. The proposed framework consists of two phases: first, the fuzzy possibilistic c-means (FPCM) is used for pixel clustering, which provides a… (More)

In this paper we consider a passive scalar transported in two-dimensional flow. The governing equation is that of the convection–diffusion–reaction equation. For purposes of computational efficiency, we apply an alternating-direction implicit scheme akin to that proposed by Polezhaev. Use of this implicit operator-splitting scheme allows the application of… (More)

- Pao-Hsiung Chiu, Long Lee, Tony W. H. Sheu
- J. Comput. Physics
- 2009

The paper presents an iterative algorithm for studying a nonlinear shallow-water wave equation. The equation is written as an evolution equation, involving only first-order spatial derivatives, coupled with the Helmholtz equation. We propose a two-step iterative method that first solves the evolution equation by the implicit midpoint rule and then solves… (More)

- Pao-Hsiung Chiu, Reui-Kuo Lin, Tony W. H. Sheu
- J. Comput. Physics
- 2010

- Tony W. H. Sheu, Y. H. Chen
- Applied Mathematics and Computation
- 2002

In this paper, we focus on the development of a finite element model for predicting the contaminant concentration governed by the advective–dispersive equation. In this study, we take into account the first-order degradation of the contaminant to realistically model the transport phenomenon in groundwater. To solve the resulting unsteady advection–diffusion… (More)

- Pao-Hsiung Chiu, Tony W. H. Sheu
- J. Comput. Physics
- 2009

- Tony W. H. Sheu, C. H. Yu, Pao-Hsiung Chiu
- J. Comput. Physics
- 2009

A two-step interface capturing scheme, implemented within the framework of conservative level set method, is developed in this study to simulate the gas/water two-phase fluid flow. In addition to solving the pure advection equation, which is used to advect the level set function for tracking interface, both nonlinear and stabilized features are taken into… (More)

- Pao-Hsiung Chiu, Tony W. H. Sheu, Reui-Kuo Lin
- J. Comput. Physics
- 2008

- Tony W. H. Sheu, Chenpeng Chiao, Chinlong Huang
- J. Applied Mathematics
- 2011

We aimed to derive a kernel function that accounts for the interaction among moving particles within the framework of particle method. To predict a computationally more accurate moving particle solution for the Navier-Stokes equations, kernel function is a key to success in the development of interaction model. Since the smoothed quantity of a scalar or a… (More)