Abstract
A robust discrete curvature estimator was recently proposed by Kerautret et al. [1]. In this paper, we exploit the precision and stability of this estimator in order to define a contour extraction method for analysing geometric features. We propose to use a reference curvature function for extracting the frontier of a shape in a gray level image. The frontier extraction is done by using both geometric information represented by the reference curvature and gradient information contained in the source image. The application of this work is done in a medical application.
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Kerautret, B., Lachaud, J.O.: Robust estimation of curvature along digital contours with global optimization. In: Coeurjolly, D., Sivignon, I., Tougne, L., Dupont, F. (eds.) DGCI 2008. LNCS, vol. 4992, pp. 334–345. Springer, Heidelberg (2008)
Kass, M., Witkin, A., Terzopoulos, D.: Snakes: Active contour models. International Journal of Computer Vision 1(4), 321–331 (1988)
Caselles, V., Kimmel, R., Sapiro, G.: Geodesic active contours. In: Proc of Int. Conf. ICCV, pp. 694–699 (1995)
Lachaud, J.O., Vialard, A.: Discrete deformable boundaries for image segmentation. Research report 1244-00, LaBRI, Talence, France (2000)
Cootes, T., Taylor, C., Cooper, D., Graham, J.: Active shape models their training and application. Computer Vision and Image Undestranding, 38–59 (1995)
Mortensen, E.N., Barrett, W.A.: Intelligent scissors for image composition. In: Proc. of ACM SIGGRAPH 1995: pp. 191–198 (1995)
Farber, M., Ehrhardt, J., Handels, H.: Live-wire-based segmentation using similarities between corresponding image structures. Computerized Medical Imaging and Graphics 31, 549–560 (2007)
Gougoutasa, A.J., d.A.W., Borthakur, A., Shapiro, E., Udupa, J.: Cartilage volume quantification via live wire segmentation. Acad. Radiol. 11(12), 1389–1395 (2004)
Li, Y., Sun, J., Tang, C.K., Shum, H.Y.: Lazy snapping. Proc. of ACM SIGGRAPH 23(3), 303–308 (2004)
Kang, H.W., Shin, S.Y.: Enhanced lane: interactive image segmentation by incremental path map construction. Graphical Models 64, 282–303 (2003)
Rother, C., Kolmogorov, V., Blake, A.: “grabcut”: interactive foreground extraction using iterated graph cuts. Proc. of ACM SIGGRAPH 23(3), 309–314 (2004)
Schoenemann, T., Cremers, D.: Introducing curvature into globally optimal image segmentation:minimum ratio cycles on product graphs. In: Proc. of Int. Conf. on Comp. Vis., Rio de Janeiro, pp. 1–6 (2007)
Feschet, F., Tougne, L.: Optimal time computation of the tangent of a discrete curve: Application to the curvature. In: Bertrand, G., Couprie, M., Perroton, L. (eds.) DGCI 1999. LNCS, vol. 1568, pp. 31–40. Springer, Heidelberg (1999)
Debled-Rennesson, I., Feschet, F., Rouyer-Degli, J.: Optimal Blurred Segments Decomposition of Noisy Shapes in Linear Times. Computers and Graphics (2006)
Coeurjolly, D.: Algorithmique et géométrie pour la caractérisation des courbes et des surfaces. PhD thesis, Université Lyon 2 (2002)
Nguyen, T., Debled-Rennesson, I.: Curvature estimation in noisy curves. In: Kropatsch, W.G., Kampel, M., Hanbury, A. (eds.) CAIP 2007. LNCS, vol. 4673, pp. 474–481. Springer, Heidelberg (2007)
Dijkstra, E.: A note on two problems in connexion with graphs. Numerische Mathematik, 269–271 (1959)
Savoiardo, M.: Differential diagnosis of parkinson’s disease and atypical parkinsonian disorders by mangnetic resonance imaging. Neurol. Sci. 24, 35–37 (2003)
Schrag, A., Good, C., Miszriel, K., Morris, H., Mathias, C., Lees, A., Quinn, N.: Differentiation of atypical parkinsonian syndromes with routine mri. Neurology 54(3), 697–707 (2002)
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Nguyen, H.G., Kerautret, B., Desbarats, P., Lachaud, J.O. (2008). Discrete Contour Extraction from Reference Curvature Function. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2008. Lecture Notes in Computer Science, vol 5359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89646-3_117
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DOI: https://doi.org/10.1007/978-3-540-89646-3_117
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