Abstract
This paper deals with edge detection in 3D images such as scanner, magnetic resonance (NMR), or spatio-temporal data. We propose an unified formalism for 3D edge detection using optimal, recursive and separable filters recently introduced for 2D edge detection. Then we obtain some efficient 3D edge detection algorithms having a low computational cost. We also show that 3D edge tracking/closing enables to extract many edges not provided by the filtering stage without introducing noisy edges. Experimental results obtained on NMR images are shown.
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References
J.F. Canny. Finding edges and lines in images. Technical Report TR. 720, MIT, June 1983.
R. Deriche. Fast algorithms for low level vision. IEEE Transactions on Pattern Analysis and machine Intelligence, 1989.
R. Deriche. Using canny's criteria to derive a recursively implemented optimal edge detector. International Journal of Computer Vision, 1(2), May 1987.
R. Deriche and J.P. Cocquerez. An efficient method to build early image description. In International Conference on Pattern Recognition, Rome, 1988.
R. Gordon, G.T. Herman, and S.A. Johnson. Image reconstruction from projections. Sci. Amer., 233:56–68, 1975.
H.K. Lui. Two and three dimensional boundary detection. In Comput. Graphics Image Process., pages 123–134, 1977. Vol. 6.
O. Monga. An optimal region growing algorithm for image segmentation. In International Journal of Pattern Recognition and Artificial Intelligence, pages 351–376, December 1987.
O. Monga and R. Deriche. 3d edge detection using recursive filtering. In Computer Vision and Pattern Recognition, IEEE, San Diego, Juin 1989.
O. Monga and R. Deriche. A new three dimensional boundary detection. In International Conference on Pattern Recognition, Paris, 1986.
M. Morgenthaler and A. Rosenfeld. Multidimensional edge detection by hypersurface fitting. PAMI-3, 4, July 1981.
A. Rosenfeld and A. Kak. Digital image processing. New York: Academic, 1976.
J. Shen and S. Castan. An optimal linear operator for edge detection. In Conference on Vision and Pattern Recognition, IEEE, USA, Juin 1986.
S.W. Zucker and R.A. Hummel. A three dimensional edge operator. IEEE Transactions on Pattern Analysis and Machine Intelligence, 3(PAMI-3), May 1981.
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© 1990 Springer-Verlag Berlin Heidelberg
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Monga, O., Deriche, R., Malandain, G., Cocquerez, J.P. (1990). Recursive filtering and edge closing: Two primary tools for 3D edge detection. In: Faugeras, O. (eds) Computer Vision — ECCV 90. ECCV 1990. Lecture Notes in Computer Science, vol 427. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014850
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DOI: https://doi.org/10.1007/BFb0014850
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