#### Filter Results:

- Full text PDF available (44)

#### Publication Year

1986

2016

- This year (0)
- Last 5 years (9)
- Last 10 years (19)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Fadil Santosa
- 1996

An approach for solving inverse problems involving obstacles is proposed. The approach uses a level-set method which has been shown to be eeective in treating problems of moving boundaries, particularly those that involve topological changes in the geometry. We develop two computational methods based on this idea. One method results in a nonlinear… (More)

- David C. Dobson, Fadil Santosa
- SIAM Journal of Applied Mathematics
- 1996

The purpose of this investigation is to understand situations under which an enhancement method succeeds in recovering an image from data which are noisy and blurred. The method in question is due to Rudin and Osher. The method selects, from a class of feasible images, one that has the least total variation. Our investigation is limited to images which have… (More)

- Emmanuel Maitre, Fadil Santosa
- J. Comput. Physics
- 2008

In this work, we consider an optimization problem described on a surface. The approach is illustrated on the problem of finding a closed curve whose arclength is as small as possible while the area enclosed by the curve is fixed. This problem exemplifies a class of optimization and inverse problems that arise in diverse applications. In our approach, we… (More)

We are concerned with the retrieval of the unknown cross section of a homogeneous cylindrical obstacle embedded in a homogeneous medium and illuminated by time-harmonic electromagnetic line sources. The dielectric parameters of the obstacle and embedding materials are known and piecewise constant. That is, the shape (here, the contour) of the obstacle is… (More)

- Yuying Li, Fadil Santosa
- IEEE Trans. Image Processing
- 1996

A reliable and efficient computational algorithm for restoring blurred and noisy images is proposed. The restoration process is based on the minimal total variation principle introduced by Rudin et al. For discrete images, the proposed algorithm minimizes a piecewise linear l (1) function (a measure of total variation) subject to a single 2-norm inequality… (More)

- David C. Dobson, Fadil Santosa
- SIAM Journal of Applied Mathematics
- 1994

Electrical impedance tomography is a procedure by which one nds the conductivity distribution inside a domain from measurements of voltages and currents at the boundary. This work addresses the issue of stability and resolution limit of such an imaging device. We consider the realistic case where only a nite number of measurements are available. An… (More)

- Fadil Santosa, Rolando Magnanini
- SIAM Journal of Applied Mathematics
- 2001

In this work, we consider a wave propagation problem in a 2-D waveguide. The problem arises in the study of light in optical bers. We construct a transform theory as a framework for studying this problem. An explicit representation for the solution to problems involving light sources is derived. We derive a decay rate for the non-guided part of the solution… (More)

The classical level set method, which represents the boundary of the unknown geometry as the zero-level set of a function, has been shown to be very effective in solving shape optimization problems. The present work addresses the issue of using a level set representation when there are simple geometrical and topological constraints. We propose a logarithmic… (More)

- Peter G. Kaup, Fadil Santosa, Michael Vogelius
- 1996

The problem of quantitative nondestructive evaluation of corrosion in plates is considered. The inpection method uses boundary measurements of currents and voltages to determine the material loss caused by corrosion. The development of the method is based on linearization and the assumption that the plate is thin. The behavior of the method is examined in… (More)

- Fadil Santosa, Michael Vogelius
- SIAM Journal of Applied Mathematics
- 1995