A blind definition of shape
J. L. Lisani; J. M. Morel; L. Rudin
ESAIM: Control, Optimisation and Calculus of Variations (2002)
- Volume: 8, page 863-872
- ISSN: 1292-8119
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] S. Abbasi and F. Mokhtarian, Retrieval of similar shapes under affine transformation, in Proc. International Conference on Visual Information Systems. Amsterdam, The Netherlands (1999) 566-574.
- [2] L. Alvarez, F. Guichard, P.-L. Lions and J.M. Morel, Axioms and fundamental equations of image processing: Multiscale analysis and P.D.E. Arch. Rational Mech. Anal. 16 (1993) 200-257. Zbl0788.68153MR1225209
- [3] S. Angenent, G. Sapiro and A. Tannenbaum, On the affine heat flow for nonconvex curves. J. Amer. Math. Soc. (1998). Zbl0902.35048MR1491538
- [4] H. Asada and M. Brady, The curvature primal sketch. PAMI 8 (1986) 2-14.
- [5] L.G. Brown, A survey of image registration techniques. ACM Comput. Surveys 24 (1992) 325-376.
- [6] V. Caselles, B. Coll and J.M. Morel, Topographic maps and local contrast changes in natural images. Int. J. Comput. Vision 33 (1999) 5-27.
- [7] V. Caselles, B. Coll and J.M. Morel, Geometry and color in natural images. J. Math. Imaging Vision (2002). Zbl0994.68167MR1892677
- [8] T. Cohignac, C. Lopez and J.M. Morel, Integral and local affine invariant parameter and application to shape recognition, in ICPR94 (1994) A164-A168.
- [9] A. Desolneux, L. Moisan and J.M. Morel, Edge detection by Helmholtz principle. J. Math. Imaging Vision (to appear). Zbl0988.68819
- [10] F. Dibos, From the projective group to the registration group: A new model. Preprint (2000). Zbl1008.68150MR1836089
- [11] R.O. Duda and P.E. Hart, Pattern Classification and Scene Analysis. Wiley (1973). Zbl0277.68056
- [12] G. Dudek and J.K. Tsotsos, Shape representation and recognition from multiscale curvature. CVIU 2 (1997) 170-189.
- [13] O. Faugeras and R. Keriven, Some recent results on the projective evolution of 2d curves, in Proc. IEEE International Conference on Image Processing. Washington DC (1995) 13-16.
- [14] F. Guichard and J.M. Morel, Image iterative smoothing and P.D.E.’s (in preparation).
- [15] R.K. Hu, Visual pattern recognition by moments invariants. IEEE Trans. Inform. Theor. (1962) 179-187. Zbl0102.13304
- [16] G. Kanizsa, Organization in vision: Essays on gestalt perception, in Praeger (1979).
- [17] A. Krzyzak, S.Y. Leung and C.Y. Suen, Reconstruction of two-dimensional patterns from Fourier descriptors. MVA 2 (1989) 123-140.
- [18] C.C. Lin and R. Chellappa, Classification of partial 2-d shapes using fourier descriptors, in CVPR86 (1986) 344-350.
- [19] J.L. Lisani, Comparaison automatique d’images par leurs formes, Ph.D. Dissertation. Université Paris-Dauphine (2001).
- [20] J.L. Lisani, L. Moisan, P. Monasse and J.M. Morel, Planar shapes in digital images. MAMS (submitted).
- [21] J.L. Lisani, P. Monasse and L. Rudin, Fast shape extraction and applications. PAMI (submitted).
- [22] D. Marr and E.C. Hildreth, Theory of edge detection. Proc. Roy. Soc. London Ser. A 207 (1980) 187-217.
- [23] G. Matheron, Random Sets and Integral Geometry. John Wiley, NY (1975). Zbl0321.60009MR385969
- [24] W. Metzger, Gesetze des Sehens. Waldemar Kramer (1975).
- [25] L. Moisan, Affine plane curve evolution: A fully consistent scheme. IEEE Trans. Image Process. 7 (1998) 411-420. Zbl0973.94002MR1669520
- [26] F. Mokhtarian and A.K. Mackworth, A theory of multiscale, curvature-based shape representation for planar curves. PAMI 14 (1992) 789-805.
- [27] P. Monasse, Contrast invariant image registration, in Proc. of International Conference on Acoustics, Speech and Signal Process., Vol. 6. Phoenix, Arizona (1999) 3221-3224.
- [28] P. Monasse and F. Guichard, Fast computation of a contrast-invariant image representation. IEEE Trans. Image Processing 9 (2000) 860-872.
- [29] M. Okutomi and T. Kanade, A locally adaptive window for signal matching. Int. J. Computer Vision 7 (1992) 143-162.
- [30] E. Persoon and K.S. Fu, Shape discrimination using fourier descriptors. SMC 7 (1977) 170-179. MR451923
- [31] T.H. Reiss, Recognizing Planar Objects Using Invariant Image Features. Springer Verlag, Lecture Notes in Comput. Sci. 676 (1993). Zbl0789.68120MR1239444
- [32] W.J. Rucklidge, Efficiently locating objects using the Hausdorff distance. Int. J. Computer Vision 24 (1997) 251-270.
- [33] G. Sapiro and A. Tannenbaum, Affine invariant scale-space. Int. J. Computer Vision 11 (1993) 25-44.
- [34] J. Serra, Image Analysis and Mathematical Morphology. Academic Press, New York (1982). Zbl0565.92001MR753649
- [35] C.H. Teh and Chin R, On image analysis by the method of moments. IEEE Trans. Pattern Anal. Machine Intelligence 10 (1998). Zbl0709.94543