Abstract
A new and efficient classification model is introduced in this paper. The proposed model enjoys the information of null space of within-class and range space of within-class. And the proposed model aims at defining a reliable spatial analysis criterion for the remote sensing image, taking advantage of the differences in different areas. Finally, by incorporating fisher linear discriminant analysis and support vector machine (or K-nearest neighbor) classifier among image pixels, the model obtained more accurate classification results.







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Gong P, Howarth PJ (1992) Frequency-based contextual classification and gray-level vector reduction for land-use identification. Photogramm Eng Remote Sens 58(4):423–437
Kontoes C, Wilkinson GG, Burrill A, Goffredoa S, Megier J (1993) An experimental system for the integration of GIS data in knowledge-based image analysis for remote sensing of agriculture. Int J Geogr Inf Syst 7(3):247–262
Foody GM (1996) Approaches for the production and evaluation of fuzzy land cover classifications from remotely-sensed data. Int J Remote Sens 17(7):1317–1340
San Miguel-Ayanz J, Biging GS (1997) Comparison of single-stage and multi-stage classification approaches for cover type mapping with TM and SPOT data. Remote Sens Environ 59(1):92–104
Aplin P, Atkinson PM, Curran P (1999) Per-field classification of land use using the forthcoming very fine spatial resolution satellite sensors: problems and potential solutions. In: Atkinson PM, Tate NJ (eds) Advances in remote sensing and GIS analysis. Wiley, New York, pp 219–239
Stuckens J, Coppin PR, Bauer ME (2000) Integrating contextual information with per-pixel classification for improved land cover classification. Remote Sens Environ 71(3):282–296
Franklin SE, Peddle DR, Dechka JA, Stenhouse GB (2002) Evidential reasoning with Landsat TM, DEM and GIS data for landcover classification in support of grizzly bear habitat mapping. Int J Remote Sens 23(21):4633–4652
Pal M, Mather PM (2003) An assessment of the effectiveness of decision tree methods for land cover classification. Remote Sens Environ 86(4):554–565
Gallego FJ (2004) Remote sensing and land cover area estimation. Int J Remote Sens 25(15):3019–3047
Zhang R, Ma J (2008) An improved SVM method P-SVM for classification of remotely sensed data. Int J Remote Sens 29(20):6029–6036
Melgani F, Serpico SB (2002) A statistical approach to the fusion of spectral and spatio-temporal contextual information for the classification of remote-sensing images. Pattern Recognit Lett 23(9):1053–1061
Bardossy A, Samaniego L (2002) Fuzzy rule-based classification of remotely sensed imagery. IEEE Trans Geosci Remote Sens 40(2):362–374
Bruzzone L, Cossu R (2002) A multiple-cascade-classifier system for a robust and partially unsupervised updating of land-cover maps. IEEE Trans Geosci Remote Sens 40(9):1984–1996
Hughes G (1968) On the mean accuracy of statistical pattern recognizers. IEEE Trans Inf Theory 14(1):55–63
Quan JJ, Wen XB, Xu XQ (2008) Multiscale probabilistic neural network method for SAR image segmentation. Appl Math Comput 205(2):578–583
Zhang Y, Wu L, Neggaz N, Wang S, Wei G (2009) Remote-sensing image classification based on an improved probabilistic neural network. Sensors 9(9):7516–7539
Yu J, Tao D, Wang M (2012) Adaptive hypergraph learning and its application in image classification. IEEE Trans Image Process 21(7):3262–3272
Yu J, Tao D, Li J, Cheng J (2014) Semantic preserving distance metric learning and applications. Inf Sci 281:674–686
Yu J, Rui Y, Tao D (2014) Click prediction for web image reranking using multimodal sparse coding. IEEE Trans Image Process 23(5):2019–2032
Yu J, Rui Y, Tang YY, Tao D (2014) High-order distance-based multiview stochastic learning in image classification. IEEE Trans Cybern. doi:10.1109/TCYB.2014.2307862
Liu W, Tao D (2013) Multiview hessian regularization for image annotation. IEEE Trans Image Process 22(7):2676–2687
Liu W, Tao D, Cheng J, Tang Y (2014) Multiview hessian discriminative sparse coding for image annotation. Comput Vis Image Underst 118:50–60
Jolliffe IT (2002) Principal component analysis. Springer, Berlin
Schölkopf B, Smola A, Muller KR (1998) Nonlinear component analysis as a kernel eigenvalue problem. Neural Comput 10(5):1299–1319
Roweis ST, Saul LK (2000) Nonlinear dimensionality reduction by locally linear embedding. Science 290(5500):2323–2326
Dianat R, Kasaei S (2010) Dimension reduction of remote sensing images by incorporating spatial and spectral properties. AEU-Int J Electron Commun 64(8):729–732
Fauvel M, Chanussot J, Benediktsson JA (2012) A spatial-spectral kernel-based approach for the classification of remote-sensing images. Pattern Recognit 45(1):381–392
Fauvel M et al (2013) Advances in spectral-spatial classification of hyperspectral images. Proc IEEE 101(3):652–675
Liu J, Wu Z, Wei Z, Xiao L, Sun L (2013) Spatial-spectral kernel sparse representation for hyperspectral image classification. IEEE J Sel Top Appl Earth Obs Remote Sens 6(6):2462–2471
Camps-Valls G, Bruzzone L (2005) Kernel-based methods for hyperspectral image classification. IEEE Trans Geosci Remote Sens 43(6):1351–1362
Gao J, Fan L (2011) Kernel-based weighted discriminant analysis with QR decomposition and its application face recognition. WSEAS Trans Math 10(10):358–367
Gao J, Li L, Fan L, Xu L (2013) An application of weighted kernel fuzzy discriminant analysis. Adv Comput Math Appl 2(4):329–338
Gao J, Fan L, Li L, Xu L (2013) A practical application of kernel-based fuzzy discriminant analysis. Int J Appl Math Comput Sci 23(4):887–903
Gao S, Tsang IWH, Chia LT (2010) Kernel sparse representation for image classification and face recognition, Computer Vision-ECCV 2010. Springer, Berlin, pp 1–14
Gao J, Xu L, Shi A, Huang F (2014) A kernel-based block matrix decomposition approach for the classification of remotely sensed images. Appl Math Comput 228:531–545
Ye J, Li Q (2005) A two-stage linear discriminant analysis via QR-decomposition. IEEE Trans Pattern Anal Mach Intell 27(6):929–941
Chen L, Liao HM, Ko M, Lin J, Yu G (2000) A new LDA-based face recognition system which can solve the small sample size problem. Pattern Recognit 33(10):1713–1726
Yu H, Yang J (2001) A direct LDA algorithm for high-dimensional data-with application to face recognition. Pattern Recognit 34(10):2067–2070
Li X, Fei S, Zhang T (2009) Median MSD-based method for face recognition. Neurocomputing 72(16):3930–3934
Gao J, Fan L, Xu L (2013) Median null (Sw)-based method for face feature recognition. Appl Math Comput 219(12):6410–6419
Koç M, Barkana A (2011) A new solution to one sample problem in face recognition using FLDA. Appl Math Comput 217(24):10368–10376
Pan Y, Wu J, Huang H, Liu J (2012) Spectral regression discriminant analysis for hyperspectral image classification. ISPRS-Int Arch Photogramm Remote Sens Spat Inf Sci 1:503–508
Ghosh A, Mishra NS, Ghosh S (2011) Fuzzy clustering algorithms for unsupervised change detection in remote sensing images. Inf Sci 181:699–715
Bandos TV, Bruzzone L, Camps-Valls G (2009) Classification of hyperspectral images with regularized linear discriminant analysis. IEEE Trans Geosci Remote Sens 47(3):862–873
Geva S, Sitte J (1991) Adaptive nearest neighbor pattern classification. IEEE Trans Neural Netw 2(2):318–322
Cover TM, Hart FE (1967) Nearest neighbor pattern classification. IEEE Trans Inf Theory IT–13(1):21–27
Cover TM (1965) Geometrical and statistical properties of systems of linear inequalities with application in pattern recognition. IEEE Trans Electron Comput 14(3):326–334
Schölkopf B, Smola A (2002) Learning with kernels-support vector machines, regularization, optimization and beyond. MIT Press, Cambridge
Fauvel M, Benediktsson JA, Chanussot J, Sveinsson JR (2008) Spectral and spatial classification of hyperspectral data using SVMs and morphological profiles. IEEE Trans Geosci Remote Sens 46(11):3804–3814
Tuia D, Camps-Valls G (2011) Urban image classification with semisupervised multiscale cluster kernels. IEEE J Sel Top Appl Earth Obs Remote Sens 4(1):65–74
Mountrakis G, Im J, Ogole C (2011) Support vector machines in remote sensing: a review. ISPRS J Photogramm Remote Sens 66(3):247–259
Sun C, Lam KM (2013) Multiple-kernel multiple-instance similarity features for efficient visual object detection. IEEE Trans Image Process 22(8):3050–3061
Golub GH, Van Loan CF (1996) Matrix computations, 3rd edn. Johns Hopkins University Press, Baltimore
Chang CC, Lin CJ (2001) LIBSVM: a library for support vector machine http://www.csie.ntu.edu.tw/cjlin/libsvm
IEEE, GRSS data fusion technical committee (2012) http://www.grss-ieee.org/community/technical-committees/datafusion/
Acknowledgments
The authors are very grateful to the editor and anonymous referees reviews for their valuable comments and helpful suggestions. In addition, this work is supported by National Natural Science Foundation of P.R. China (Grant No. 61271386), and the Graduates’ Research Innovation Program of Higher Education of Jiangsu Province of P.R. China (Grant No. CXZZ13-0239).
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Gao, J., Xu, L. A Novel Spatial Analysis Method for Remote Sensing Image Classification. Neural Process Lett 43, 805–821 (2016). https://doi.org/10.1007/s11063-015-9447-0
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DOI: https://doi.org/10.1007/s11063-015-9447-0