Title :
Total variation as a multiplicative constraint for solving inverse problems
Author :
Abubaker, Ahmed ; Van Den Berg, Peter M.
Author_Institution :
Centre for Theor. Geosci., Delft Univ. of Technol., Netherlands
fDate :
9/1/2001 12:00:00 AM
Abstract :
The total variation minimization method for deblurring noise is shown to be effective in increasing the resolution in a contrast source inversion approach to index reconstruction from measured scattered field data. The main drawback is the presence of an artificial weighting parameter in the cost functional, which can only be determined through considerable experimentation Therefore, we introduce the total variation as a multiplicative constraint. Numerical examples demonstrate that the algorithm based on this multiplicative regularization seems to be robust and handling noisy data very well without the necessity of the weighting parameter
Keywords :
electromagnetic wave scattering; image enhancement; image resolution; image restoration; inverse problems; minimisation; artificial weighting parameter; contrast source inversion approach; cost functiona; deblurring noise; geophysics; index reconstruction; inverse problems; multiplicative constraint; multiplicative regularization; noisy data; resolution; scattered field data; total variation minimization method; Cost function; Electromagnetic measurements; Electromagnetic scattering; Image reconstruction; Inverse problems; Minimization methods; Multi-stage noise shaping; Noise measurement; Robustness; Shape measurement;
Journal_Title :
Image Processing, IEEE Transactions on
