Integrating external knowledge into SVM classification - Fusing hyperspectral and laserscanning data by kernel composition

Roof materials are important sources of pollutants within cities. To monitor and quantify polluted roof runoff, a precise classification approach of various roof material classes is needed. Within urban environments, different geometries of roofs exist, e.g. sloped roofs and flat roofs, which can be distinguished by using ALS data. To precisely classify different roof material classes, e.g. brick, slate, gravel, hyperspectral datasets can be utilized. Thus, exploitation of both hyperspectral and ALS data is helpful. In order to exploit these data sources, data fusion needs to be performed. A novel approach for data fusion is possible with kernel composition methods. Support vector machines (SVMs) have proven to be capable classifiers for hyperspectral and ALS data separately, but also for combined datasets [Camps-Valls et al., 2006]. Kernel functions are used to find the solutions of SVM classifiers. The kernel composition [Camps-Valls et al., 2006] takes account of the fact, that kernel functions can be combined (e.g. by addition) to form new kernels. This combination offers a novel option for data fusion. An application for the fusion and classification of hyperspectral and ALS data is given in [Braun et al., 2011].

[1]  Gustavo Camps-Valls,et al.  Composite kernels for hyperspectral image classification , 2006, IEEE Geoscience and Remote Sensing Letters.

[2]  Lorenzo Bruzzone,et al.  Classification of hyperspectral remote sensing images with support vector machines , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[3]  Chih-Jen Lin,et al.  Asymptotic Behaviors of Support Vector Machines with Gaussian Kernel , 2003, Neural Computation.

[4]  Dirk LEMP,et al.  Use of hyperspectral and laser scanning data for the characterization of surfaces in urban areas , 2004 .

[5]  Bernhard Schölkopf,et al.  New Support Vector Algorithms , 2000, Neural Computation.

[6]  R. Jenssen,et al.  1 THE HYMAP TM AIRBORNE HYPERSPECTRAL SENSOR : THE SYSTEM , CALIBRATION AND PERFORMANCE , 1998 .

[7]  Uwe Weidner,et al.  Classifying roof materials using data fusion through kernel composition — Comparing ν-SVM and one-class SVM , 2011, 2011 Joint Urban Remote Sensing Event.

[8]  Andreas Braun,et al.  EVALUATION OF ONE-CLASS SVM FOR PIXEL-BASED AND SEGMENT-BASED CLASSIFICATION IN REMOTE SENSING , 2010 .

[9]  L. S. Davis,et al.  An assessment of support vector machines for land cover classi(cid:142) cation , 2002 .

[10]  Bernhard Schölkopf,et al.  Estimating the Support of a High-Dimensional Distribution , 2001, Neural Computation.

[11]  Nello Cristianini,et al.  Large Margin DAGs for Multiclass Classification , 1999, NIPS.

[12]  Christopher J. C. Burges,et al.  A Tutorial on Support Vector Machines for Pattern Recognition , 1998, Data Mining and Knowledge Discovery.

[13]  Chih-Jen Lin,et al.  LIBSVM: A library for support vector machines , 2011, TIST.

[14]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[15]  J. Mercer Functions of positive and negative type, and their connection with the theory of integral equations , 1909 .