Abstract
This paper presents a method to determine efficient scan-patterns for spin images using robust multivariate regression. A large dataset is generated using scan-patterns with random radial scanlines through an oriented point and determining the corresponding classification performance. Eight features are chosen, which are used as predictor variables for a multivariate least trimmed squares regression algorithm, achieving an adjusted coefficient of determination of R 2=0.80. The correlation coefficients are then used in an exemplary cost-benefit function of an exemplary application of the proposed method.
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Surmann, H., Lingemann, K., Nüchter, A., Hertzberg, J.: A 3d laser range finder for autonomous mobile robots. In: Proceedings of the 32nd ISR(International Symposium on Robotics), pp. 153–158 (2001)
Johnson, A.E., Hebert, M.: Using spin images for efficient object recognition in cluttered 3d scenes. IEEE Transactions on Pattern Analysis and Machine Intelligence 21, 433–449 (1999)
Stein, F., Medioni, G.: Structural indexing: Efficient 3-d object recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence 14, 125–145 (1992)
Blais, F., Beraldin, J.A., El-Hakim, S.F.: Real-time geometrical tracking and pose estimation using laser triangulation and photogrammetry. In: Proceedings of the 1st International Symposium on 3D Data Processing, Visualization, and Transmission, pp. 205–210 (2001)
Rousseeuw, P.: Least median of squares regression. Journal of the American Statistical Association 79, 871–880 (1984)
Rousseeuw, P., Leroy, A.: Robust Regression and Outlier Detection. Wiley-IEEE (2003)
Hampel, F.: A general qualitative definition of robustness. Annals of Mathematical Statistics 42, 1887–1896 (1971)
Bickel, P.: One-step huber estimates in the linear model. Journal of the American Statistical Association 70, 428–434 (1975)
Rousseeuw, P., Van Driessen, K.: An Algorithm for Positive-Breakdown Regression Based on Concentration Steps. In: Data Analysis: Scientific Modeling and Practical Application, pp. 335–346. Springer, Heidelberg (2000)
Verboven, S., Hubert, M.: LIBRA: a MATLAB library for robust analysis. Chemometrics and Intelligent Laboratory Systems 75, 127–136 (2005)
Joanes, D.N., Gill, C.A.: Comparing measures of sample skewness and kurtosis. Journal of the Royal Statistical Society: Series D (The Statistician) 47, 183–189 (1998)
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Matzka, S., Petillot, Y.R., Wallace, A.M. (2007). Determining Efficient Scan-Patterns for 3-D Object Recognition Using Spin Images. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2007. Lecture Notes in Computer Science, vol 4842. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76856-2_55
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DOI: https://doi.org/10.1007/978-3-540-76856-2_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76855-5
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