Change detection in polarimetric SAR images using complex Wishart distributed matrices

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Abstract

In surveillance it is important to be able to detect natural or man-made changes e.g. based on sequences of satellite or air borne images of the same area taken at different times. The mapping capability of synthetic aperture radar (SAR) is independent of e.g. cloud cover, and thus this technology holds a strong potential for change detection studies in remote sensing. In polarimetric synthetic aperture radar we measure the amplitude and phase of backscattered signals in four combinations of the linear horizontal and vertical receive and transmit polarizations. These signals form a complex scattering matrix, and after suitable preprocessing the outcome at each picture element (pixel) may be represented as a 3 by 3 Hermitian matrix following a complex Wishart distribution.

One approach to solving the change detection problem based on SAR images is therefore to apply suitable statistical tests in the complex Wishart distribution. We propose a set-up for a systematic solution to the (practical) problems using the likelihood ratio test statistics. We show some examples based on a time series of images with 1024 by 1024 pixels.
Original languageEnglish
Publication date2015
Number of pages1
Publication statusPublished - 2015
Event37th Danish Symposium on Applied Statistics - DTU, Kgs. Lyngby, Denmark
Duration: 26 Jan 201528 Jan 2015
Conference number: 37

Conference

Conference37th Danish Symposium on Applied Statistics
Number37
LocationDTU
CountryDenmark
CityKgs. Lyngby
Period26/01/201528/01/2015

Cite this

Conradsen, K., Nielsen, A. A., & Skriver, H. (2015). Change detection in polarimetric SAR images using complex Wishart distributed matrices. Abstract from 37th Danish Symposium on Applied Statistics, Kgs. Lyngby, Denmark.
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title = "Change detection in polarimetric SAR images using complex Wishart distributed matrices",
abstract = "In surveillance it is important to be able to detect natural or man-made changes e.g. based on sequences of satellite or air borne images of the same area taken at different times. The mapping capability of synthetic aperture radar (SAR) is independent of e.g. cloud cover, and thus this technology holds a strong potential for change detection studies in remote sensing. In polarimetric synthetic aperture radar we measure the amplitude and phase of backscattered signals in four combinations of the linear horizontal and vertical receive and transmit polarizations. These signals form a complex scattering matrix, and after suitable preprocessing the outcome at each picture element (pixel) may be represented as a 3 by 3 Hermitian matrix following a complex Wishart distribution. One approach to solving the change detection problem based on SAR images is therefore to apply suitable statistical tests in the complex Wishart distribution. We propose a set-up for a systematic solution to the (practical) problems using the likelihood ratio test statistics. We show some examples based on a time series of images with 1024 by 1024 pixels.",
author = "Knut Conradsen and Nielsen, {Allan Aasbjerg} and Henning Skriver",
year = "2015",
language = "English",
note = "37th Danish Symposium on Applied Statistics ; Conference date: 26-01-2015 Through 28-01-2015",

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Conradsen, K, Nielsen, AA & Skriver, H 2015, 'Change detection in polarimetric SAR images using complex Wishart distributed matrices', 37th Danish Symposium on Applied Statistics, Kgs. Lyngby, Denmark, 26/01/2015 - 28/01/2015.

Change detection in polarimetric SAR images using complex Wishart distributed matrices. / Conradsen, Knut; Nielsen, Allan Aasbjerg; Skriver, Henning.

2015. Abstract from 37th Danish Symposium on Applied Statistics, Kgs. Lyngby, Denmark.

Research output: Contribution to conferenceConference abstract for conferenceResearchpeer-review

TY - ABST

T1 - Change detection in polarimetric SAR images using complex Wishart distributed matrices

AU - Conradsen, Knut

AU - Nielsen, Allan Aasbjerg

AU - Skriver, Henning

PY - 2015

Y1 - 2015

N2 - In surveillance it is important to be able to detect natural or man-made changes e.g. based on sequences of satellite or air borne images of the same area taken at different times. The mapping capability of synthetic aperture radar (SAR) is independent of e.g. cloud cover, and thus this technology holds a strong potential for change detection studies in remote sensing. In polarimetric synthetic aperture radar we measure the amplitude and phase of backscattered signals in four combinations of the linear horizontal and vertical receive and transmit polarizations. These signals form a complex scattering matrix, and after suitable preprocessing the outcome at each picture element (pixel) may be represented as a 3 by 3 Hermitian matrix following a complex Wishart distribution. One approach to solving the change detection problem based on SAR images is therefore to apply suitable statistical tests in the complex Wishart distribution. We propose a set-up for a systematic solution to the (practical) problems using the likelihood ratio test statistics. We show some examples based on a time series of images with 1024 by 1024 pixels.

AB - In surveillance it is important to be able to detect natural or man-made changes e.g. based on sequences of satellite or air borne images of the same area taken at different times. The mapping capability of synthetic aperture radar (SAR) is independent of e.g. cloud cover, and thus this technology holds a strong potential for change detection studies in remote sensing. In polarimetric synthetic aperture radar we measure the amplitude and phase of backscattered signals in four combinations of the linear horizontal and vertical receive and transmit polarizations. These signals form a complex scattering matrix, and after suitable preprocessing the outcome at each picture element (pixel) may be represented as a 3 by 3 Hermitian matrix following a complex Wishart distribution. One approach to solving the change detection problem based on SAR images is therefore to apply suitable statistical tests in the complex Wishart distribution. We propose a set-up for a systematic solution to the (practical) problems using the likelihood ratio test statistics. We show some examples based on a time series of images with 1024 by 1024 pixels.

M3 - Conference abstract for conference

ER -

Conradsen K, Nielsen AA, Skriver H. Change detection in polarimetric SAR images using complex Wishart distributed matrices. 2015. Abstract from 37th Danish Symposium on Applied Statistics, Kgs. Lyngby, Denmark.