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We introduce a novel class of rotation invariants of two dimensional curves based on iterated integrals.
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Mokhtarian, Farzin, and Alan Mackworth. ”Scale-based description and recognition of planar curves and two-dimensional shapes.” Pattern Analysis and Machine Intelligence, IEEE Transactions on 1 (1986): 34-43
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Plamondon, Réjean, and Sargur N. Srihari. ”Online and off-line handwriting recognition: a comprehensive survey.” Pattern Analysis and Machine Intelligence, IEEE Transactions on 22.1 (2000): 63-84
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Lyons, T. Terry J., and Zhong Qian. System control and rough paths. Oxford University Press on Demand, 2002
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Psarrou, Alexandra, Shaogang Gong, and Michael Walter. ”Recognition of human gestures and behaviour based on motion trajectories.” Image and Vision Computing 20.5 (2002): 349-358
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Fabrice, Baudoin. An introduction to the geometry of stochastic flows. Imperial College Press, 2004
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Hu, Weiming, et al. ”A survey on visual surveillance of object motion and behaviors.” Systems, Man, and Cybernetics, Part C: Applications and Reviews, IEEE Transactions on 34.3 (2004): 334-352
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1993
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Mokhtarian, Farzin. ”Silhouette-based isolated object recognition through curvature scale space.” Pattern Analysis and Machine Intelligence, IEEE Transactions on 17.5 (1995): 539-544
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Wallin, Åke, and O. Kubler. ”Complete sets of complex Zernike moment invariants and the role of the pseudoinvariants.” Pattern Analysis and Machine Intelligence, IEEE Transactions on 17.11 (1995): 1106-1110
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Alimoglu, Fevzi, and Ethem Alpaydin. ”Methods of combining multiple classifiers based on different representations for pen-based handwritten digit recognition.” Proceedings of the Fifth Turkish Artificial Intelligence and Artificial Neural Networks Symposium (TAINN 96. 1996
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Chuang, GC-H., and C-CJ Kuo. ”Wavelet descriptor of planar curves: Theory and applications.” Image Processing, IEEE Transactions on 5.1 (1996): 56-70
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Lyons, Terry J. ”Differential equations driven by rough signals.” Revista Matemática Iberoamericana 14.2 (1998): 215-310
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Dimai, Alexander. ”Rotation invariant texture description using general moment invariants and gabor filters.” In Proceedings of the 11th Scandinavian Conference on Image Analysis. 1999
1999
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2004
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Sakata, Toshio, et al. ”A new series of rotation invariant moments by Lie transformation group theory.” Frontiers in Handwriting Recognition, 2004. IWFHR-9 2004. Ninth International Workshop on. IEEE, 2004
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Bennewitz, Maren, et al. ”Learning motion patterns of people for compliant robot motion.” The International Journal of Robotics Research 24.1 (2005): 31-48
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Manay, Siddharth, et al. ”Integral invariants for shape matching.” Pattern Analysis and Machine Intelligence, IEEE Transactions on 28.10 (2006): 1602-1618
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Lyons, T. Terry J., Michael. Caruana, and Thierry Lévy. Differential equations driven by rough paths. Vol. 1908. Berlin: Springer, 2007
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Cass, Thomas, and Peter Friz. ”Densities for rough differential equations under Hörmanders condition.” Annals of Mathematics 171 (2010): 2115-2141
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Friz, Peter K., and Nicolas B. Victoir. Multidimensional stochastic processes as rough paths: theory and applications. Vol. 120. Cambridge University Press, 2010
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Zheng, Yu. Computing with spatial trajectories. Springer Science+ Business Media, 2011
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