Adaptive mapped least squares SVM-based smooth fitting method for DSM generation of LIDAR data

This paper presents an adaptive mapped least squares support vector machine (LS-SVM)-based smooth fitting method for DSM generation of airborne light detection and ranging (LIDAR) data. The LS-SVM is introduced to generate DSM for the sub-region in the original LIDAR data, and the generated DSM for this region is optimized using the points located within this region and additional points from its neighbourhood. The basic principles of differential geometry are applied to derive the general equations (such as gradients and curvatures) for topographic analysis of the generated DSM. The smooth fitting results on simulated and actual LIDAR datasets demonstrate that the proposed smooth fitting method performs well in terms of the quality evaluation indexes obtained, and is superior to the radial basis function (fastRBF) and triangulation methods in computation efficiency, noise suppression and accurate DSM generation.

[1]  R. Beatson,et al.  Smooth fitting of geophysical data using continuous global surfaces , 2002 .

[2]  V. Vapnik The Support Vector Method of Function Estimation , 1998 .

[3]  Kurt Hornik,et al.  FEED FORWARD NETWORKS ARE UNIVERSAL APPROXIMATORS , 1989 .

[4]  J. Colby,et al.  Spatial Characterization, Resolution, and Volumetric Change of Coastal Dunes using Airborne LIDAR: Cape Hatteras, North Carolina , 2002 .

[5]  Sheng Zheng,et al.  Mapped least squares support vector machine regression , 2005, Int. J. Pattern Recognit. Artif. Intell..

[6]  Joos Vandewalle,et al.  Special issue on fundamental and information processing aspects of neurocomputing , 2002, Neurocomputing.

[7]  Vladimir Naumovich Vapni The Nature of Statistical Learning Theory , 1995 .

[8]  Mark E. Romano,et al.  Innovation in Lidar Processing Technology , 2004 .

[9]  K. Clint Slatton,et al.  Identification and analysis of airborne laser swath mapping data in a novel feature space , 2004, IEEE Geoscience and Remote Sensing Letters.

[10]  Yong Wang,et al.  Utilizing DEMs derived from LIDAR data to analyze morphologic change in the North Carolina coastline , 2003 .

[11]  Richard K. Beatson,et al.  Reconstruction and representation of 3D objects with radial basis functions , 2001, SIGGRAPH.

[12]  Lubos Mitas,et al.  Simultaneous spline approximation and topographic analysis for lidar elevation data in open-source GIS , 2005, IEEE Geoscience and Remote Sensing Letters.

[13]  Johan A. K. Suykens,et al.  Least Squares Support Vector Machines , 2002 .

[14]  Jian Liu,et al.  A new efficient SVM-based edge detection method , 2004, Pattern Recognit. Lett..

[15]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[16]  Johan A. K. Suykens,et al.  Least Squares Support Vector Machine Classifiers , 1999, Neural Processing Letters.

[17]  Jason M. Stoker,et al.  Recent U.S. Geological Survey Applications of Lidar , 2005 .

[18]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[19]  Tomaso A. Poggio,et al.  Regularization Networks and Support Vector Machines , 2000, Adv. Comput. Math..

[20]  Jaroslav Hofierka,et al.  Interpolation by regularized spline with tension: II. Application to terrain modeling and surface geometry analysis , 1993 .

[21]  Stephen Billings,et al.  Interpolation of geophysical data using continuous global surfaces , 2002 .

[22]  F. Girosi,et al.  Networks for approximation and learning , 1990, Proc. IEEE.

[23]  Chengcui Zhang,et al.  A progressive morphological filter for removing nonground measurements from airborne LIDAR data , 2003, IEEE Trans. Geosci. Remote. Sens..

[24]  Berthold K. P. Horn,et al.  Hill shading and the reflectance map , 1981, Proceedings of the IEEE.

[25]  J. Mercer Functions of Positive and Negative Type, and their Connection with the Theory of Integral Equations , 1909 .

[26]  Johan A. K. Suykens,et al.  Weighted least squares support vector machines: robustness and sparse approximation , 2002, Neurocomputing.