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ZHAO Jiale, ZHOU Bing, WANG Guanglong, YING Jiaju, WANG Qianghui, DENG Lei. Parameter fitting method of BRDF model based on generalized inverse matrix[J]. LASER TECHNOLOGY, 2023, 47(3): 407-412. DOI: 10.7510/jgjs.issn.1001-3806.2023.03.019
Citation: ZHAO Jiale, ZHOU Bing, WANG Guanglong, YING Jiaju, WANG Qianghui, DENG Lei. Parameter fitting method of BRDF model based on generalized inverse matrix[J]. LASER TECHNOLOGY, 2023, 47(3): 407-412. DOI: 10.7510/jgjs.issn.1001-3806.2023.03.019

Parameter fitting method of BRDF model based on generalized inverse matrix

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  • Received Date: March 23, 2022
  • Revised Date: April 17, 2022
  • Published Date: May 24, 2023
  • In order to improve the efficiency of parameter fitting of binary reflectance distribution function (BRDF)model and understand the spectral direction characteristics of ground object more specifically, a method of parameter fitting of BRDF model based on generalized inverse matrix was proposed. Firstly, the directional characteristics of spectral reflection of ground objects were analyzed, and then the spectral reflectance of targets in different directions was measured by imaging spectrometer. The experimental conditions and a priori measurement data were substituted into BRDF model, the generalized inverse matrix equation was established, and the model parameters of measurement targets were fitted. Using the BRDF model parameters of fitting the push any particular direction under the condition of spectral reflectance and compared with experimental data. Spectral angle mapping method was used to measure its similarity and the results showed that the grass and camouflage raincoat fitting spectrum curve and the measured spectral curve similarity is very high, up to the 0.1307 and 0.0896, confirmed the validity of the parameter fitting method, the ability to verify the generalization of the BRDF model fitting. This method is simple in principle, fast and effective, and provides reference for other types of BRDF model parameter fitting and subsequent research on spectral characteristics of ground objects.
  • [1]
    丁安心, 焦子锑, 董亚冬, 等. 基于线性核驱动模型的BRDF模型集成与案例分析[J]. 遥感技术与应用, 2018, 33(3): 545-554. https://www.cnki.com.cn/Article/CJFDTOTAL-YGJS201803018.htm

    DING A X, JIAO Z T, DONG Y D, et al. BRDF model integration and case analysis based on linear kernel driven model[J]. Remote Sensing Technology and Application, 2018, 33(3): 545-554(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YGJS201803018.htm
    [2]
    王捷, 肖爱平, 焦子锑. 植被多角度光谱信息采集系统的设计与分析[J]. 湖北农业科学, 2014, 53(9): 2165-2170. https://www.cnki.com.cn/Article/CJFDTOTAL-HBNY201409055.htm

    WANG J, XIAO A P, JIAO Z D. Design and analysis of vegetation multi angle spectral information acquisition system[J]. Hubei Agricultural Sciences, 2014, 53(9): 2165-2170(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HBNY201409055.htm
    [3]
    SANDMEIER S R. Acquisition of bidirectional reflectance factor data with field goniometers[J]. Remote Sensing of Environment, 2000, 73(1): 257-259.
    [4]
    SANDMEIER S R, SANDMEIER W, ITTEN K I, et al. A field goniometer system (FIGOS) for acquisition of hyperspectral BRDF data[J]. IEEE Transactions on Geoscience and Remote Sensing, 1999, 37(2): 978-986. DOI: 10.1109/36.752216
    [5]
    程晨, 杨世植, 崔生成, 等. 核驱动BRDF模型RossThick-LiSparseR与RossThick-LiTransitN的分析[J]. 大气与环境光学学报, 2016, 11(3): 211-216. https://www.cnki.com.cn/Article/CJFDTOTAL-GDJY201603007.htm

    CHENG Ch, YANG Sh Zh, CUI Sh Ch, et al. Nuclear drive RossThick-LiSparseR BRDF model with RossThick-LiTransitN analysis[J]. Journal of Atmospheric and Environmental Optics, 2016, 11(3): 211-216(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GDJY201603007.htm
    [6]
    解斐斐, 孙林, 林宗坚, 等. 基于Ross Thick-LiSparseR及Ross Thick-LiTransit的核驱动BRDF计算与评价[J]. 遥感信息, 2011, 26(4): 3-6. https://www.cnki.com.cn/Article/CJFDTOTAL-YGXX201104002.htm

    XIE F F, SUN L, LIN Z J, et al. Based on the Ross Thick-LiSparseR and RossThick-LiTransit nuclear drive BRDF calculation and evaluation[J]. Remote Sensing Information, 2011, 26(4): 3-6(in Chin-ese). https://www.cnki.com.cn/Article/CJFDTOTAL-YGXX201104002.htm
    [7]
    赵云, 谢东海, 邓磊, 等. 利用多角度影像计算BRDF的方法与系统实现[J]. 遥感技术与应用, 2018, 33(4): 741-749. https://www.cnki.com.cn/Article/CJFDTOTAL-YGJS201804019.htm

    ZHAO Y, XIE D H, DENG L, et al. Method and system realization of BRDF calculation using multi-angle image[J]. Remote Sensing Technology and Application, 2018, 33(4): 741-749(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YGJS201804019.htm
    [8]
    张虎, 焦子锑, 董亚冬, 等. 利用BRDF原型和单方向反射率数据估算地表反照率[J]. 遥感学报, 2015, 19(3): 355-367. https://www.cnki.com.cn/Article/CJFDTOTAL-YGXB201503001.htm

    ZHANG H, JIAO Z T, DONG Y D, et al. Albedo rethlevedfrom BRDF archetype and surface directional reflectance[J]. Journal of Remote Sensing, 2015, 19(3): 355-367(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YGXB201503001.htm
    [9]
    何维, 杨华. 联合Terra/Aqua MODIS多角度多光谱数据反演冬小麦叶面积指数[J]. 农业工程学报, 2013, 29(4): 204-212. https://www.cnki.com.cn/Article/CJFDTOTAL-NYGU201304027.htm

    HE W, YANG H. Winter wheat leaf area index retrieval with Multi-angle and multirspectral Terra/Aqua MODIS data[J]. Transactions of the Chinese Society of Agricultural Engineering, 2013, 29(4): 204-212(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-NYGU201304027.htm
    [10]
    麻庆苗, 李静, 刘强, 等. 混合像元聚集指数研究及尺度分析[J]. 遥感学报, 2012, 16(5): 895-908. https://www.cnki.com.cn/Article/CJFDTOTAL-YGXB201205003.htm

    MA Q M, LI J, LIU Q, et al. Calculation of clumping index of mixed pixel and scale analysis[J]. Journal of Remote Sensing, 2012, 16(5): 895-908(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YGXB201205003.htm
    [11]
    夏云超, 易娜. 用广义逆矩阵求一般曲线的拟合方程式[J]. 湖南大学学报(自然科学版), 1999, 26(s1): 36-40. https://www.cnki.com.cn/Article/CJFDTOTAL-HNDX9S1.009.htm

    XIA Y Ch, YI N. Using generalized inverse matrix to find the fitting equation of general curve[J]. Journal of Hunan University(Natural Science Editaion), 1999, 26(s1): 36-40(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HNDX9S1.009.htm
    [12]
    王鹏, 陈剑波. 复矩阵方程AXB=C的最小二乘Hermite解[J]. 理论数学, 2016, 6(1): 42-49.

    WANG P, CHEN J B. Least squares Hermite solution of complex matrix equation AXB=C[J]. Pure Mathematics, 2016, 6(1): 42-49(in Chinese).
    [13]
    焦子锑, 王锦地, 谢旦欧, 等, 地面和机载多角度观测数据的反照率反演及对MODIS反照率产品的初步验证[J]. 遥感学报, 2005, 9(1): 64-72. https://www.cnki.com.cn/Article/CJFDTOTAL-YGXB200501009.htm

    JIAO Z T, WANG J D, XIE D O, et al. Initial validation of MCDIS albedo product by using field measurements and airborne multiangular remote sensing observations[J]. Journal of Remote Sensing, 2005, 9(1): 64-72(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YGXB200501009.htm
    [14]
    王强辉, 华文深, 黄富瑜, 等. 基于光谱角背景纯化的高光谱异常检测算法[J]. 激光技术, 2020, 44(5): 623-627. DOI: 10.7510/jgjs.issn.1001-3806.2020.05.016

    WANG Q H, HUA W Sh, HUANG F Y, et al. Based on the spectral angle background purification of hyperspectral anomaly detection algorithm[J]. Laser Technology, 2020, 44(5): 623-627(in Chin-ese). DOI: 10.7510/jgjs.issn.1001-3806.2020.05.016
    [15]
    杨林华, 许杰, 蒋山平. 真空低温环境反射镜光谱反射率原位测量技术[J]. 应用光学, 2015, 36(4): 559-565. https://www.cnki.com.cn/Article/CJFDTOTAL-YYGX201504012.htm

    YANG L H, XU J, JIANG Sh P. Vacuum cryogenic environment reflector spectrum reflectance in situ measurement techniques[J]. Journal of Applied Optics, 2015, 36(4): 559-565(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YYGX201504012.htm
    [16]
    张百顺, 刘文清, 魏庆农, 等. 典型目标的BRDF实验室测量与模型验证[J]. 量子电子学报, 2006, 23(4): 533-536. https://www.cnki.com.cn/Article/CJFDTOTAL-LDXU200604019.htm

    ZHANG B Sh, LIU W Q, WEI Q N, et al. The BRDF of typical target model validation and measurement in laboratory[J]. Chinese Journal of Quantum Electronics, 2006, 23(4): 533-536(in Chin-ese). https://www.cnki.com.cn/Article/CJFDTOTAL-LDXU200604019.htm
    [17]
    阎广建, 吴均, 王锦地, 等. 光谱先验知识在植被结构遥感反演中的应用[J]. 遥感学报, 2002, 6(1): 1-6. https://www.cnki.com.cn/Article/CJFDTOTAL-YGXB200201000.htm

    YAN G J, WU J, WANG J D, et al. Spectral prior knowledge in the application of remote sensing inversion of vegetation structure[J]. Journal of Remote Sensing, 2002, 6(1): 1-6(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YGXB200201000.htm
    [18]
    刘思含, 刘强, 柳钦火, 等. 多角度多波段的核函数及其在BRDF研究中的应用[J]. 北京师范大学学报(自然科学版), 2007, 43(3): 309-313. https://www.cnki.com.cn/Article/CJFDTOTAL-BSDZ200703016.htm

    LIU S H, LIU Q, LIU Q H, et al. Band from different points of kernel function andits application in the BRDF research[J]. Journal of Beijing Normal University(Natural Science Edition), 2007, 43(3): 309-313(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-BSDZ200703016.htm
    [19]
    周冰, 李秉璇, 贺宣, 等. 陆基条件下典型地物和伪装光谱影响因子分析[J]. 光谱学与光谱分析, 2021, 41(9): 2956-2961. https://www.cnki.com.cn/Article/CJFDTOTAL-GUAN202109057.htm

    ZHOU B, LI B X, HE X, et al. Analysis of influence factors of ty-pical ground objects and camouflage spectra under land-based conditions[J]. Spectroscopy and Spectral Analysis, 2021, 41(9): 2956-2961(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GUAN202109057.htm
    [20]
    LIU N L, GUO Y X, JIANG H M, et al. Gastric cancer diagnosis using hyperspectral imaging with principal component analysis and spectral angle mapper[J]. Journal of Biomedical Optics, 2020, 25(6): 1-9.
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