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Multiplicative Noise Removal Based on the Linear Alternating Direction Method for a Hybrid Variational Model
- Source :
- Mathematical Problems in Engineering, Vol 2017 (2017)
- Publication Year :
- 2017
- Publisher :
- Hindawi Limited, 2017.
-
Abstract
- To preserve the edge, multiplicative noise removal models based on the total variation regularization have been widely studied, but they suffer from the staircase effect. In this paper, to preserve the edge and reduce the staircase effect, we develop a hybrid variational model based on the variable splitting method for multiplicative noise removal; the new model is a strictly convex objective function which contains the total variation regularization and a modified regularization term. We use the linear alternative direction method to find the minimal solution and also give the convergence proof of the proposed algorithm. Experimental results verify that the proposed model can obtain the better results for removing the multiplicative noise compared with the recent method.
- Subjects :
- Mathematical optimization
Article Subject
lcsh:Mathematics
General Mathematics
General Engineering
Variational model
02 engineering and technology
Total variation denoising
lcsh:QA1-939
01 natural sciences
Regularization (mathematics)
Multiplicative noise
010101 applied mathematics
lcsh:TA1-2040
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
020201 artificial intelligence & image processing
0101 mathematics
lcsh:Engineering (General). Civil engineering (General)
Convex function
Mathematics
Subjects
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2017
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....e34be33524ec32c10bfac6d06920db97