Abstract
The detector of jumps or changes in the function value and its derivative designed with the use of the concept of competing approximators is revisited. The previously defined condition for the existence of a jump in the function value is extended by introducing a statistical test of significance. This extension makes it possible to eliminate some false positive detections which appeared in the previously obtained results. The features of the extended detector are demonstrated on some artificial and real-life data.
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The graphs used in this paper as well as the software were developed in Matlab
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Basu, M.: Gaussian-based edge-detection methods: a survey. IEEE Trans. Syst. Man Cybern. Part C (Appl. Rev.) 32(3), 252–260 (2002). http://dx.doi.org/10.1109/TSMCC.2002.804448
Bhardwaj, S., Mittal, A.: A survey on various edge detector techniques. Procedia Technol. 4, 220–226 (2012). http://dx.doi.org/10.1016/j.protcy.2012.05.033
Chmielewski, L.: The concept of a competitive step and roof edge detector. Mach. Graph. Vis. 5(1–2), 147–156 (1996)
Chmielewski, L.: Failure of the 2D version of the step and roof edge detector derived from a competitive filter, Report of the Division of Optical and Computer Methods in Mechanics, IFTR PAS, December 1997
Chmielewski, L.J., Orłowski, A.: Detecting changes with the robust competitive detector. In: Alexandre, L.A., Sánchez, J.S., Rodrigues, J.M.F. (eds.) Proceedings of the 8th Iberian Conference on Pattern Recognition and Image Analysis IbPRIA 2017. LNCS, vol. 10255. Springer, Faro, Portugal, 20–23 Jun 2017. doi:10.1007/978-3-319-58838-4_39
Furmańczyk, K., Jaworski, S.: Large parametric change-point detection by a V-box control chart. Sequential Anal. 35(2), 254–264 (2016). http://dx.doi.org/10.1080/07474946.2016.1165548
Hu, W., Tan, T., Wang, L., Maybank, S.: A survey on visual surveillance of object motion and behaviors. IEEE Trans. Syst. Man Cybern. Part C (Appl. Rev.) 34(3), 334–352 (2004). http://dx.doi.org/10.1109/TSMCC.2004.829274
Jaworski, S., Furmańczyk, K.: On the choice of parameters of change-point detection with application to stock exchange data. Quant. Methods Econ. 12(1), 87–96 (2011)
Maini, R., Aggarwal, H.: Study and comparison of various image edge detection techniques. Int. J. Image Process. (IJIP) 3(1), 1–11 (2009)
Niedźwiecki, M., Sethares, W.: New filtering algorithms based on the concept of competitive smoothing. In: Proceedings of the 23rd International Symposium on Stochastic Systems and their Applications, pp. 129–132. Osaka (1991)
Niedźwiecki, M., Suchomski, P.: On a new class of edge-preserving filters for noise rejection from images. Mach. Graph. Vis. 1–2(3), 385–392 (1994)
Räty, T.D.: Survey on contemporary remote surveillance systems for public safety. IEEE Trans. Syst. Man Cybern. Part C (Appl. Rev.) 40(5), 493–515 (2010). http://dx.doi.org/10.1109/TSMCC.2010.2042446
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Chmielewski, L.J., Furmańczyk, K., Orłowski, A. (2018). Competitive Detector of Changes with a Statistical Test. In: Kurzynski, M., Wozniak, M., Burduk, R. (eds) Proceedings of the 10th International Conference on Computer Recognition Systems CORES 2017. CORES 2017. Advances in Intelligent Systems and Computing, vol 578. Springer, Cham. https://doi.org/10.1007/978-3-319-59162-9_45
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