Abstract
Multiscale analysis initially proposed in image processing domain, turned out to be an effective tool in many other areas. It has been also proposed for motion data trajectories parametrized in quaternion space. In this paper we introduce novel approach, which is the framework for non-linear scale space analysis of quaternion trajectories. In the paper theoretical basis has been proposed and numerical validation has been presented.
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Barr, A.H., Currin, B., Gabriel, S., Hughes, J.F.: Smooth Interpolation of Orientations with Angular Velocity Constraints using Quaternions. Computer Graphics 26(2) (1992)
Burt, P.J., Adelson, E.H.: The Laplacian Pyramid as a Compact Image Code. IEEE Trans. on Communications 31(4), 532–542 (1983)
Jablonski, B.: Anisotropic filtering of multidimensional rotational trajectories as a generalization of 2D diffusion process. Multidimensional Systems and Signal Processing 19(3-4), 379–399 (2008)
Kim, T., Lee, J., Shin, S.Y.: Robust Motion Watermarking based on Multiresolution Analysis. Computer Graphics Forum 19(3) (2000)
Laptev, C., Lindeberg, T.: Interest point detection and scale selection in space-time. In: Proc. Scale-Space Methods in Computer Vision, pp. 372–387. Springer, Heidelberg (1994)
Lee, J., Shin, S.Y.: Motion Fairing. Computer Animation,136–143 (1996)
Lee, J., Shin, S.Y.: Multiresolution Motion Analysis with Applications. In: International Workshop on Human Modeling and Animation, Seoul, pp. 131–143 (2000)
Lindeberg, T.: Scale-Space Theory in Computer Vision. Kluwer Academic Publishers, Netherlands (1994)
McCarthy, J.M.: Introduction to Theoretical Kinematics. MIT Press, Cambridge (1990)
Perona, P., Malik, J.: Scale-Space and Edge Detection Using Anisotropic Diffusion. IEEE Trans. On Pattern Analysis and Machine Intelligence 12(7) (1990)
Weickert, J.: Anisotropic Diffusion in Image Processing. B.G. Teubner, Stuttgart (1998)
Witkin, A.: Scale-Space Filtering. In: IJCAI, pp. 1019–1022 (1983)
Witkin, A., Popovic, Z.: Motion Warping. In: Proc. SIGGRAPH 1995, Los Angeles (1995)
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Jabłoński, B., Kulbacki, M. (2010). Nonlinear Multiscale Analysis of Motion Trajectories. In: Bolc, L., Tadeusiewicz, R., Chmielewski, L.J., Wojciechowski, K. (eds) Computer Vision and Graphics. ICCVG 2010. Lecture Notes in Computer Science, vol 6374. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15910-7_14
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DOI: https://doi.org/10.1007/978-3-642-15910-7_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15909-1
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