Collinearity and orthogonality of endmembers in linear spectral unmixing

Freek D. Van der Meer1, Xiuping Jia2
1University of Twente, Faculty of Geo-information Science and Earth Observation (ITC), Hengelosestraat 99, 7514 AE Enschede, The Netherlands
2School of Engineering and Information Technology, University College, The University of New South Wales, Campbell, ACT 2600, Australia

Tài liệu tham khảo

Adams, 1995, Classification of multispectral images based on fractions of endmembers: application to land-cover change in the Brazilian Amazon, Remote Sensing of Environment, 52, 137, 10.1016/0034-4257(94)00098-8 Adams, 1986, Spectral mixture modeling – a new analysis of rock and soil types at the Viking Lander-1 site, Journal of Geophysical Research, 91, 8098, 10.1029/JB091iB08p08098 Adams, 1993, Imaging spectroscopy: interpretation based on spectral mixture analysis, 145 Asner, 2002, Spectral unmixing of vegetation, soil and dry carbon cover in arid regions: comparing multispectral and hyperspectral observations, International Journal of Remote Sensing, 23, 3939, 10.1080/01431160110115960 Asner, 2000, A biogeophysical approach for automated SWIR unmixing of soils and vegetation, Remote Sensing of Environment, 74, 99, 10.1016/S0034-4257(00)00126-7 Bateson, 2000, Endmember bundles: a new approach to incorporating endmember variability into spectral mixture analysis, IEEE Transactions on Geoscience and Remote Sensing, 38, 1083, 10.1109/36.841987 Boardman, 1989, Inversion of imaging spectrometry data using singular value decomposition, 2069 Chang, 2003 Chang, 2006, A fast iterative algorithm for implementation of pixel purity index, IEEE Geoscience and Remote Sensing Letters, 3, 63, 10.1109/LGRS.2005.856701 Chang, 1998, Least squares subspace projection approach to mixed pixel classification for hyperspectral images, IEEE Transactions on Geoscience and Remote Sensing, 36, 898, 10.1109/36.673681 Chang, 2010, Real-time simplex growing algorithms for hyperspectral endmember extraction, IEEE Transactions on Geoscience and Remote Sensing, 48, 1834, 10.1109/TGRS.2009.2034979 Chang, 2010, Random pixel purity index, IEEE Geoscience and Remote Sensing Letters, 7, 324, 10.1109/LGRS.2009.2034610 Chen, 2009, Generalization of subpixel analysis for hyperspectral data with flexibility in spectral similarity measures, IEEE Transactions on Geoscience and Remote Sensing, 47, 2165, 10.1109/TGRS.2008.2011432 Chen, 2010, Impact of collinearity on linear and nonlinear spectral mixture analysis Clark, 1983, Spectral properties of mixtures of montmorillonite and dark carbon grains: implications for remote sensing minerals containing chemically and physically absorbed water, Journal of Geophysical Research, 88, 10635, 10.1029/JB088iB12p10635 Cloutis, 1996, Hyperspectral geological remote sensing: evaluation of analytical techniques, International Journal of Remote Sensing, 17, 2215, 10.1080/01431169608948770 de Jong, 1999, Regional assessment of soil erosion using the distributed model SEMMED and remotely sensed data, Catena, 37, 291, 10.1016/S0341-8162(99)00038-7 Drake, 1999, Mapping vegetation, soils, and geology in semiarid shrublands using spectral matching and mixture modeling of SWIR AVIRIS imagery, Remote Sensing of Environment, 68, 12, 10.1016/S0034-4257(98)00097-2 Foody, 1994, Sub-pixel land-cover composition estimation using linear mixture model and fuzzy membership functions, International Journal of Remote Sensing, 15, 619, 10.1080/01431169408954100 Fox, 1992, Generalized collinearity diagnostics, Journal of the American Statistical Association, 87, 178, 10.1080/01621459.1992.10475190 Graham, 2003, Confronting multicollinearity in ecological multiple regression, Ecology, 84, 2809, 10.1890/02-3114 Green, 1988, A transformation for ordering multispectral data in terms of image quality with implications for noise removal, IEEE Transactions on Geoscience and Remote Sensing, 26, 65, 10.1109/36.3001 Harsanyi, 1994, Hyperspectral image classification and dimensionality reduction – an orthogonal subspace projection approach, IEEE Transactions on Geoscience and Remote Sensing, 32, 779, 10.1109/36.298007 Hecker, 2010, Thermal infrared spectroscopy on feldspars – successes, limitations and their implications for remote sensing, Earth-Science Reviews, 103, 60, 10.1016/j.earscirev.2010.07.005 Hedley, 2003, A remote sensing method for resolving depth and subpixel composition of aquatic benthos, Limnology and Oceanography, 48, 480, 10.4319/lo.2003.48.1_part_2.0480 Hostert, 2005 Hunt, 1977, Spectral signatures of particulate minerals in the visible and near-infrared, Geophysics, 42, 501, 10.1190/1.1440721 Ichoku, 1996, A review of mixture modeling techniques for sub-pixel land cover estimation, Remote sensing reviews, 13, 161, 10.1080/02757259609532303 Ifarraguerri, 1999, Multispectral and hyperspectral image analysis with convex cones, IEEE Transactions on Geoscience and Remote Sensing, 37, 756, 10.1109/36.752192 Johnson, 1983, A semiempirical method for analysis of the reflectance spectra of binary mineral mixtures, Journal of Geophysical Research, 88, 3557, 10.1029/JB088iB04p03557 Ju, 2003, Gaussian mixture discriminant analysis and sub-pixel land cover characterization in remote sensing, Remote Sensing of Environment, 84, 550, 10.1016/S0034-4257(02)00172-4 Keshava, 2002, Spectral unmixing, IEEE Signal Processing Magazine, 19, 44, 10.1109/79.974727 Kruse, 1993, Expert system-based mineral mapping in Northern Death-Valley, California Nevada, using the airborne visible infrared imaging spectrometer (AVIRIS), Remote Sensing of Environment, 44, 309, 10.1016/0034-4257(93)90024-R Lelong, 1998, Hyperspectral imaging and stress mapping in agriculture: a case study on wheat in Beauce (France), Remote Sensing of Environment, 66, 179, 10.1016/S0034-4257(98)00049-2 Lu, 2004, Application of spectral mixture analysis to Amazonian land-use and land-cover classification, International Journal of Remote Sensing, 25, 5345, 10.1080/01431160412331269733 Martin, 2011, Region-based spatial preprocessing for endmember extraction and spectral unmixing, IEEE Geoscience and Remote Sensing Letters, 8, 745, 10.1109/LGRS.2011.2107877 Mei, 2010, Spatial purity based endmember extraction for spectral mixture analysis, IEEE Transactions on Geoscience and Remote Sensing, 48, 3434, 10.1109/TGRS.2010.2046671 Metternicht, 1998, Estimating erosion surface features by linear mixture modeling, Remote Sensing of Environment, 64, 254, 10.1016/S0034-4257(97)00172-7 Nascimento, 2005, Vertex component analysis: a fast algorithm to unmix hyperspectral data, IEEE Transactions on Geoscience and Remote Sensing, 43, 898, 10.1109/TGRS.2005.844293 Neville, 2003, Spectral unmixing of hyperspectral imagery for mineral exploration: comparison of results from SFSI and AVIRIS, Canadian Journal of Remote Sensing, 29, 99, 10.5589/m02-085 O’Brien, 2007, A caution regarding rules of thumb for variance inflation factors, Quality and Quantity, 41, 673, 10.1007/s11135-006-9018-6 Okin, 2001, Practical limits on hyperspectral vegetation discrimination in arid and semiarid environments, Remote Sensing of Environment, 77, 212, 10.1016/S0034-4257(01)00207-3 Plaza, 2002, Spatial/spectral endmember extraction by multidimensional morphological operations, IEEE Transactions on Geoscience and Remote Sensing, 40, 2025, 10.1109/TGRS.2002.802494 Price, 1994, How unique are spectral signatures?, Remote Sensing of Environment, 49, 181, 10.1016/0034-4257(94)90013-2 Roberts, 1993, Green vegetation, nonphotosynthetic vegetation, and soils in AVIRIS data, Remote Sensing of Environment, 44, 255, 10.1016/0034-4257(93)90020-X Roberts, 1998, Mapping chaparral in the Santa Monica mountains using multiple endmember spectral mixture models, Remote Sensing of Environment, 267, 10.1016/S0034-4257(98)00037-6 Roessner, 2001, Automated differentiation of urban surfaces based on airborne hyperspectral imagery, IEEE Transactions on Geoscience and Remote Sensing, 39, 1525, 10.1109/36.934082 Rogge, 2006, Iterative spectral unmixing for optimizing per-pixel endmember sets, IEEE Transactions on Geoscience and Remote Sensing, 44, 3725, 10.1109/TGRS.2006.881123 Rogge, 2007, Integration of spatial–spectral information for the improved extraction of endmembers, Remote Sensing of Environment, 110, 287, 10.1016/j.rse.2007.02.019 Sabol, 1992, Quantitative subpixel spectral detection of targets in multispectral images, Journal of Geophysical Research, 97, 2659, 10.1029/91JE03117 Segl, 2003, Fusion of spectral and shape features for identification of urban surface cover types using reflective and thermal hyperspectral data, ISPRS Journal of Photogrammetry and Remote Sensing, 58, 99, 10.1016/S0924-2716(03)00020-0 Settle, 1993, Linear mixing and the estimation of ground cover proportions, International Journal of Remote Sensing, 14, 1159, 10.1080/01431169308904402 Shao, 2011, Sub-pixel mapping of tree canopy, impervious surfaces, and cropland in the Laurentian Great Lakes Basin using MODIS time-series data, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 4, 336, 10.1109/JSTARS.2010.2062173 Shi, 1999, Local influence in ridge regression, Computational Statistics and Data Analysis, 31, 341, 10.1016/S0167-9473(99)00019-5 Singer, 1981, Near-infrared spectral reflectance of mineral mixtures: systematic combinations of pyroxenes, olivine, and iron oxides, Journal of Geophysical Research, 86, 7967, 10.1029/JB086iB09p07967 Singer, 1979, Mars: large scale mixing of bright and dark surface materials and implications for analysis of spectral reflectance, 1835 Somers, 2010, An automated waveband selection technique for optimized hyperspectral mixture analysis, International Journal of Remote Sensing, 31, 5549, 10.1080/01431160903311305 Somers, 2011, Endmember variability in spectral mixture analysis: a review, Remote Sensing of Environment, 115, 1603, 10.1016/j.rse.2011.03.003 Thof, 2007, Mapping northern land cover fractions using Landsat ETM, Remote Sensing of Environment, 107, 496, 10.1016/j.rse.2006.10.009 Tompkins, 1997, Optimization of endmembers for spectral mixture analysis, Remote Sensing of Environment, 59, 472, 10.1016/S0034-4257(96)00122-8 Van der Meer, 1999, Iterative spectral unmixing (ISU), International Journal of Remote Sensing, 20, 3431, 10.1080/014311699211462 Van der Meer, 2006, Indicator kriging applied to absorption band analysis in hyperspectral imagery: a case study from the Rodalquilar epithermal gold mining area, SE Spain, International Journal of Applied Earth Observation and Geoinformation, 8, 61, 10.1016/j.jag.2005.07.001 Van der Meer, 2006, The effectiveness of spectral similarity measures for the analysis of hyperspectral imagery, International Journal of Applied Earth Observation and Geoinformation, 8, 3, 10.1016/j.jag.2005.06.001 Van der Meer, 2000, Improving the results of spectral unmixing of Landsat Thematic Mapper imagery by enhancing the orthogonality of end-members, International Journal of Remote Sensing, 21, 2781, 10.1080/01431160050121249 Van der Meer, 2000 Vane, 1993, The airborne visible infrared imaging spectrometer (AVIRIS), Remote Sensing of Environment, 44, 127, 10.1016/0034-4257(93)90012-M Weng, 2008, A sub-pixel analysis of urbanization effect on land surface temperature and its interplay with impervious surface and vegetation coverage in Indianapolis, United States, International Journal of Applied Earth Observation and Geoinformation, 10, 68, 10.1016/j.jag.2007.05.002 Westerhuis, 2001, Direct orthogonal signal correction, chemometrics intell, Laboratory Systems, 56, 13, 10.1016/S0169-7439(01)00102-2 Winter, 1999, N-FINDR: an algorithm for fast autonomous spectral end-member determination in hyperspectral data, 266 Wu, 2009, IEEE, real-time processing of simplex growing algorithm, vol. 1–5, 3645 Zortea, 2009, A quantitative and comparative analysis of different implementations of N-FINDR: a fast endmember extraction algorithm, IEEE Geoscience and Remote Sensing Letters, 6, 787, 10.1109/LGRS.2009.2025520