Mathematical Programming: Series A and B
Direct Least Square Fitting of Ellipses
IEEE Transactions on Pattern Analysis and Machine Intelligence
Statistical Bias of Conic Fitting and Renormalization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Least Squares Fitting of Ellipses
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Ground penetrating radar image preprocessing for embedded object in media
AIKED'10 Proceedings of the 9th WSEAS international conference on Artificial intelligence, knowledge engineering and data bases
Ground penetrating radar slice reconstruction for embedded object in media with target follow
WSEAS Transactions on Computers
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We present a new method to simultaneously estimate cylindrical object radius (R) and electromagnetic (EM) wave propagation velocity (v) from ground penetrating radar (GPR) data. R estimation methods have been investigated since the middle of the previous decade, but studies have become more intensive and important over the last several years since they increase the utility of GPR data and enable new GPR applications. Since existing methods, according to the author's best knowledge, are based on a priori known v, the proposed method has an advantage: it eliminates the measurement of v and its influence on R estimation quality. Estimating v accurately results in better soil characterisation. Three steps are used to simultaneously estimate v and R. First, using the extracted raw data, the coordinates of the hyperbola apex (x"0, t"0) are estimated. Second, the boundary speed (v"0) is estimated, based on the previous results. In the final step, v is reduced from v"0 to a predefined v"m"i"n. From the analysis of propagation velocity choice criterion, an optimal v is chosen, which is used to calculate a unique R. This proposed method is a nonlinear least squares fitting procedure. The method is implemented and verified, using data collected under real conditions, in a Matlab environment. A comparison of the proposed and existing methods shows that the new method is significantly more accurate and robust with regard to noise and the amount of raw data.