Variational-based speckle noise removal of SAR imagery

  • Chaomin Shen
  • , Ling Pi
  • , Yaxin Peng
  • , Zhibin Li*
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

In this paper we present a variational method for Synthetic Aperture Radar (SAR) speckle removal. Variational method is a newly developed technique for the removal of SAR's multiplicative noise. For an image, we could define an energy functional. The energy evolves as the original image changes, and the minimum energy corresponds to the speckle reduced result. Partial differential equation (PDE) technique is used to get the minimal solution. Our energy functional makes use of the statistical information of the multiplicative noise since it follows a Gamma law with mean μ = 1 and variance (σ2 = 1/M for M-look SAR. Our energy is a regularization term with two constraints. The regularization term is the integral for the norm of image gradient; two constraints are the mean of noise should be 1 and the variance of noise should be 1/M. We use the method of Lagrange multipliers, Euler-Lagrange equation and heat flow method to obtain the minimizer of the energy. ERS PRecision Image (PRI) data are to demonstrate our algorithm. Numerical result shows that the speckle reduced image preserves edges and point targets while smoothes homogenous regions in the original image. The algorithm is computationally efficient and easy to implement.

Original languageEnglish
Title of host publication2007 IEEE International Geoscience and Remote Sensing Symposium, IGARSS 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages532-535
Number of pages4
ISBN (Print)1424412129, 9781424412129
DOIs
StatePublished - 2007
Event2007 IEEE International Geoscience and Remote Sensing Symposium, IGARSS 2007 - Barcelona, Spain
Duration: 23 Jun 200728 Jun 2007

Publication series

NameInternational Geoscience and Remote Sensing Symposium (IGARSS)

Conference

Conference2007 IEEE International Geoscience and Remote Sensing Symposium, IGARSS 2007
Country/TerritorySpain
CityBarcelona
Period23/06/0728/06/07

Keywords

  • Euler-Lagrange equation
  • SAR
  • Speckle
  • Variational method

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