Abstract
The fossils classification has a great importance in palaeontological studies. They make it possible to understand the biodiversity in its morphological dimension and they show the morphological transformations suffered during the biological evolution. In this paper, we propose a descriptor for fossils classification and particularly Brachiopods. The proposed descriptor is a fusion between the curvature and Fourier descriptors. The curvature properties provide an apparently powerful cue to the underlying structure of the curve and captures completely the structure of planar curve. In addition, it is stable and complete. Fourier descriptors are powerful features for the recognition of two-dimensional connected shapes and is supported by the well-developed and well-understood Fourier theory. We used the Fourier descriptors proposed by Ghorbel, this set of invariants is also stable and complete. Experimental results are performed to illustrate the performance of the proposed descriptor.
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References
Bailey, R., Srinath, M.: Orthogonal moment features for use with parametric and non-parametric classifiers. IEEE Trans. Pattern Anal. Mach. Intell. 18(4), 389–399 (1996)
Chan, T., Vese, L.: Active contours without edges. IEEE Trans. Image Process. 10(2), 266–277 (2001)
Crampton, J.: Elliptic Fourier shape analysis of fossil bivalves: some practical considerations. Lethaia 28(2), 179–186 (1995)
Crimmins, T.R.: A complete set of Fourier descriptors for two dimensional shapes. IEEE Trans. Syst. Man Cybern. 12, 848–855 (1982)
Dalitz, C., Brandt, C., Goebbels, S., Kolanus, D.: Fourier descriptors for broken shapes. EURASIP J. Adv. Sig. Process. 2013, 161 (2013)
Ait Khouya, Y., Ghorbel, F.: Brachiopods classification based on fusion of contour and region based descriptors. Int. J. Adv. Intell. Paradigms (IJAIP) 14(1/2), 140–156 (2019)
Ait Khouya, Y., Ghorbel, F.: Description shape based on B-spline approximation and contour based shape descriptors: application to Brachiopods classification. J. Netw. Innov. Comput. 7, 025–031 (2019)
El Hariri, K., Bachnou, A.: Describing ammonite shape using Fourier analysis. J. Afr. Earth Sci. 39, 347–352 (2004)
Ait khouya, Y., Ghorbel, F., Alaa, N.: Brachiopods classification based on fusion of global and local complete and stable descriptors. In:12th ACS/IEEE International Conference on Computer Systems and Applications, Marrakech, Morocco, 17–20 November 2015 (2015)
Foote, M.: Perimeter-based Fourier analysis: a new morphometric method applied to the trolobite cranidium. J. Paleontol. 63(6), 880–885 (1989)
Ghorbel, F.: Stability of invariant Fourier descriptors and its inference in the shape classification. In: 11th International Conference in Pattern Recognition, The Hague, The Netherlands, 30 August–3 September 1992 (1992)
Ghorbel, F.: Invariants de formes et de mouvement Onze cas du 1D au 4D et de l’euclidien aux projectifs, Arts Pi, Tunis (2013)
Jehan-Besson, S., Barlaud, M., Aubert, G.: DREAM2S: deformable regions driven by an Eulerian accurate minimization method for image and video segmentation. Int. J. Comput. Vision 53(1), 45–70 (2003)
Kpalma, K., Ronsin, J.: Multiscale contour description for pattern recognition. Pattern Recogn. Lett. 27(13), 1545–1559 (2006)
Mokhtarian, F., Abbasi, S.: Shape similarity retrieval under affine transforms. Pattern Recogn. 10(2), 31–41 (2002)
Mokhtarian, F., Mackworth, A.K.: A theory of multiscale, curvature based shape representation for planar curves. IEEE PAMI 14, 789–805 (1992)
Persoon, E., Fu, K.: Shape discrimination using Fourier descriptors. IEEE Trans. Syst. Man Cybern. 7(3), 170–179 (1977)
Persoon, E., Fu, K.: Shape discrimination using Fourier descriptors. IEEE Trans. Pattern Anal. Mach. Intell. 8(3), 388–397 (1986)
Rui, Y., She, A.: A modified Fourier descriptor for shape matching in MARS. Image Databases Multimedia Search 8, 165–180 (1998)
Tieng, Q.M., Boles, W.W.: Recognition of 2D object contours using the wavelet transform zero crossing representation. IEEE Trans. PAMI 19(8), 910–916 (1997)
Zhang, D.S., Lu, G.: A comparative study of Fourier descriptors for shape representation and retrieval. In: Proceedings of the Fifth Asian Conference on Computer Vision (ACCV02), Melbourne, Australia, 22–25 January 2002, pp. 646–651 (2002)
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Khouya, Y.A., Oussous, M.A., Ghorbel, F. (2021). Describing Brachiopods Shape Based on Fusion of Curvature and Fourier Descriptors. In: Abraham, A., et al. Proceedings of the 12th International Conference on Soft Computing and Pattern Recognition (SoCPaR 2020). SoCPaR 2020. Advances in Intelligent Systems and Computing, vol 1383. Springer, Cham. https://doi.org/10.1007/978-3-030-73689-7_43
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DOI: https://doi.org/10.1007/978-3-030-73689-7_43
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