Determination of Optimum Viewing Angles for the Angular Normalization of Land Surface Temperature over Vegetated Surface

Multi-angular observation of land surface thermal radiation is considered to be a promising method of performing the angular normalization of land surface temperature (LST) retrieved from remote sensing data. This paper focuses on an investigation of the minimum requirements of viewing angles to per...

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Main Authors: Huazhong Ren, Guangjian Yan, Rongyuan Liu, Zhao-Liang Li, Qiming Qin, Françoise Nerry, Qiang Liu
Format: Article
Language:English
Published: MDPI AG 2015-03-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/15/4/7537
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spelling doaj-ca343f6c54e3477580538a01698e0b142020-11-24T21:37:09ZengMDPI AGSensors1424-82202015-03-011547537757010.3390/s150407537s150407537Determination of Optimum Viewing Angles for the Angular Normalization of Land Surface Temperature over Vegetated SurfaceHuazhong Ren0Guangjian Yan1Rongyuan Liu2Zhao-Liang Li3Qiming Qin4Françoise Nerry5Qiang Liu6State Key Laboratory of Remote Sensing Science, School of Geography, Beijing Normal University, Beijing 100875, ChinaState Key Laboratory of Remote Sensing Science, School of Geography, Beijing Normal University, Beijing 100875, ChinaState Key Laboratory of Remote Sensing Science, School of Geography, Beijing Normal University, Beijing 100875, ChinaKey Laboratory of Agri-Informatics, Ministry of Agriculture/Institute of Agricultural Resources and Regional Planning, Chinese Academy of Agricultural Sciences, Beijing 100081, ChinaInstitute of Remote Sensing and Geographic Information System, Peking University, Beijing 100871, ChinaICube Laboratory, Université de Strasbourg, 67412 Illkirch, FranceCollege of Global Change and Earth System Science, Beijing Normal University, Beijing 100875, ChinaMulti-angular observation of land surface thermal radiation is considered to be a promising method of performing the angular normalization of land surface temperature (LST) retrieved from remote sensing data. This paper focuses on an investigation of the minimum requirements of viewing angles to perform such normalizations on LST. The normally kernel-driven bi-directional reflectance distribution function (BRDF) is first extended to the thermal infrared (TIR) domain as TIR-BRDF model, and its uncertainty is shown to be less than 0.3 K when used to fit the hemispheric directional thermal radiation. A local optimum three-angle combination is found and verified using the TIR-BRDF model based on two patterns: the single-point pattern and the linear-array pattern. The TIR-BRDF is applied to an airborne multi-angular dataset to retrieve LST at nadir (Te-nadir) from different viewing directions, and the results show that this model can obtain reliable Te-nadir from 3 to 4 directional observations with large angle intervals, thus corresponding to large temperature angular variations. The Te-nadir is generally larger than temperature of the slant direction, with a difference of approximately 0.5~2.0 K for vegetated pixels and up to several Kelvins for non-vegetated pixels. The findings of this paper will facilitate the future development of multi-angular thermal infrared sensors.http://www.mdpi.com/1424-8220/15/4/7537BRDFangular normalizationland surface temperaturemulti-angularWiDAS
collection DOAJ
language English
format Article
sources DOAJ
author Huazhong Ren
Guangjian Yan
Rongyuan Liu
Zhao-Liang Li
Qiming Qin
Françoise Nerry
Qiang Liu
spellingShingle Huazhong Ren
Guangjian Yan
Rongyuan Liu
Zhao-Liang Li
Qiming Qin
Françoise Nerry
Qiang Liu
Determination of Optimum Viewing Angles for the Angular Normalization of Land Surface Temperature over Vegetated Surface
Sensors
BRDF
angular normalization
land surface temperature
multi-angular
WiDAS
author_facet Huazhong Ren
Guangjian Yan
Rongyuan Liu
Zhao-Liang Li
Qiming Qin
Françoise Nerry
Qiang Liu
author_sort Huazhong Ren
title Determination of Optimum Viewing Angles for the Angular Normalization of Land Surface Temperature over Vegetated Surface
title_short Determination of Optimum Viewing Angles for the Angular Normalization of Land Surface Temperature over Vegetated Surface
title_full Determination of Optimum Viewing Angles for the Angular Normalization of Land Surface Temperature over Vegetated Surface
title_fullStr Determination of Optimum Viewing Angles for the Angular Normalization of Land Surface Temperature over Vegetated Surface
title_full_unstemmed Determination of Optimum Viewing Angles for the Angular Normalization of Land Surface Temperature over Vegetated Surface
title_sort determination of optimum viewing angles for the angular normalization of land surface temperature over vegetated surface
publisher MDPI AG
series Sensors
issn 1424-8220
publishDate 2015-03-01
description Multi-angular observation of land surface thermal radiation is considered to be a promising method of performing the angular normalization of land surface temperature (LST) retrieved from remote sensing data. This paper focuses on an investigation of the minimum requirements of viewing angles to perform such normalizations on LST. The normally kernel-driven bi-directional reflectance distribution function (BRDF) is first extended to the thermal infrared (TIR) domain as TIR-BRDF model, and its uncertainty is shown to be less than 0.3 K when used to fit the hemispheric directional thermal radiation. A local optimum three-angle combination is found and verified using the TIR-BRDF model based on two patterns: the single-point pattern and the linear-array pattern. The TIR-BRDF is applied to an airborne multi-angular dataset to retrieve LST at nadir (Te-nadir) from different viewing directions, and the results show that this model can obtain reliable Te-nadir from 3 to 4 directional observations with large angle intervals, thus corresponding to large temperature angular variations. The Te-nadir is generally larger than temperature of the slant direction, with a difference of approximately 0.5~2.0 K for vegetated pixels and up to several Kelvins for non-vegetated pixels. The findings of this paper will facilitate the future development of multi-angular thermal infrared sensors.
topic BRDF
angular normalization
land surface temperature
multi-angular
WiDAS
url http://www.mdpi.com/1424-8220/15/4/7537
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