Statistical Modeling of Shadows in SAR Imagery

Shadows are a special distortion in synthetic aperture radar (SAR) imaging. They often hamper proper image understanding and target recognition but also offer useful information, and therefore, the statistical modeling of SAR image shadows is imperative. In this endeavor, we systematically deduced t...

Full description

Bibliographic Details
Main Authors: Xiaojun Luo, Xiangyang Zhang, Jiawen Bao, Ling Chang, Weixin Xi
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/21/4437
_version_ 1797631689673932800
author Xiaojun Luo
Xiangyang Zhang
Jiawen Bao
Ling Chang
Weixin Xi
author_facet Xiaojun Luo
Xiangyang Zhang
Jiawen Bao
Ling Chang
Weixin Xi
author_sort Xiaojun Luo
collection DOAJ
description Shadows are a special distortion in synthetic aperture radar (SAR) imaging. They often hamper proper image understanding and target recognition but also offer useful information, and therefore, the statistical modeling of SAR image shadows is imperative. In this endeavor, we systematically deduced the statistical models of shadows in multimodal SAR images, including single-look intensity and amplitude images and multilook intensity and amplitude images in a real domain and complex domain, respectively. In particular, for the filtered SAR image shadow, we introduced the generalized extreme value (GEV) distribution to characterize its statistics. We carried out an experiment on shadows in a real SAR image and conducted chi-square goodness-of-fit tests on the deduced models. Furthermore, we compared the deduced statistical models of shadows with state-of-the-art statistical models of SAR imagery. Finally, suggestions are given for selecting the optimal statistical model of shadows in multimodal SAR images.
first_indexed 2024-03-11T11:25:50Z
format Article
id doaj.art-f0f694ef5b60463dac1ef901b997597f
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-03-11T11:25:50Z
publishDate 2023-10-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-f0f694ef5b60463dac1ef901b997597f2023-11-10T15:07:53ZengMDPI AGMathematics2227-73902023-10-011121443710.3390/math11214437Statistical Modeling of Shadows in SAR ImageryXiaojun Luo0Xiangyang Zhang1Jiawen Bao2Ling Chang3Weixin Xi4Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 611756, ChinaFaculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 611756, ChinaFaculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 611756, ChinaDepartment of Earth Observation Science, Faculty of Geo-Information Science and Earth Observation, University of Twente, 7514 AE Enschede, The NetherlandsFaculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 611756, ChinaShadows are a special distortion in synthetic aperture radar (SAR) imaging. They often hamper proper image understanding and target recognition but also offer useful information, and therefore, the statistical modeling of SAR image shadows is imperative. In this endeavor, we systematically deduced the statistical models of shadows in multimodal SAR images, including single-look intensity and amplitude images and multilook intensity and amplitude images in a real domain and complex domain, respectively. In particular, for the filtered SAR image shadow, we introduced the generalized extreme value (GEV) distribution to characterize its statistics. We carried out an experiment on shadows in a real SAR image and conducted chi-square goodness-of-fit tests on the deduced models. Furthermore, we compared the deduced statistical models of shadows with state-of-the-art statistical models of SAR imagery. Finally, suggestions are given for selecting the optimal statistical model of shadows in multimodal SAR images.https://www.mdpi.com/2227-7390/11/21/4437statistical modelingshadowSAR imageprobability density function (PDF)
spellingShingle Xiaojun Luo
Xiangyang Zhang
Jiawen Bao
Ling Chang
Weixin Xi
Statistical Modeling of Shadows in SAR Imagery
Mathematics
statistical modeling
shadow
SAR image
probability density function (PDF)
title Statistical Modeling of Shadows in SAR Imagery
title_full Statistical Modeling of Shadows in SAR Imagery
title_fullStr Statistical Modeling of Shadows in SAR Imagery
title_full_unstemmed Statistical Modeling of Shadows in SAR Imagery
title_short Statistical Modeling of Shadows in SAR Imagery
title_sort statistical modeling of shadows in sar imagery
topic statistical modeling
shadow
SAR image
probability density function (PDF)
url https://www.mdpi.com/2227-7390/11/21/4437
work_keys_str_mv AT xiaojunluo statisticalmodelingofshadowsinsarimagery
AT xiangyangzhang statisticalmodelingofshadowsinsarimagery
AT jiawenbao statisticalmodelingofshadowsinsarimagery
AT lingchang statisticalmodelingofshadowsinsarimagery
AT weixinxi statisticalmodelingofshadowsinsarimagery