Abstract
Global region-based active contours, like the Chan-Vese model, often make strong assumptions on the intensity distributions of the searched object and background, preventing their use in natural images. We introduce a more flexible local region energy achieving a trade-off between local features of gradient-like terms and global region features. Relying on the theory of parallel curves, we define our region term using constant length lines normal to the contour. Mathematical derivations are performed on an explicit curve, leading to a form allowing efficient implementation on a parametric snake. However, we provide implementations on both explicit and implicit contours.
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Kass, M., Witkin, A., Terzopoulos, D.: Snakes: active contour models. International Journal of Computer Vision 1(4), 321–331 (1988)
Malladi, R., Sethian, J., Vemuri, B.: Shape modeling with front propagation: a level set approach. IEEE Transactions on Pattern Analysis and Machine Intelligence 17(2), 158–175 (1995)
Brox, T., Cremers, D.: On the statistical interpretation of the piecewise smooth Mumford-Shah functional. In: International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), Ischia, Italy, pp. 203–213 (2007)
Mumford, D., Shah, J.: Optimal approximation by piecewise smooth functions and associated variational problems. Communications on Pure and Applied Mathematics 42(5), 577–685 (1989)
Cohen, L., Bardinet, E., Ayache, N.: Surface reconstruction using active contour models. In: SPIE Conference on Geometric Methods in Computer Vision, San Diego, CA, USA (1993)
Ivins, J., Porrill, J.: Active region models for segmenting textures and colours. Image and Vision Computing 13(5), 431–438 (1995)
Chan, T., Vese, L.: Active contours without edges. IEEE Transactions on Image Processing 10(2), 266–277 (2001)
Jehan-Besson, S., Barlaud, M., Aubert, G.: DREAM2S: Deformable regions driven by an eulerian accurate minimization method for image and video segmentation. International Journal of Computer Vision 53(1), 45–70 (2003)
Paragios, N., Deriche, R.: Geodesic active regions and level set methods for supervised texture segmentation. International Journal of Computer Vision 46(3), 223–247 (2002)
Vese, L., Chan, T.: A multiphase level set framework for image segmentation using the Mumford and Shah model. International Journal of Computer Vision 50(3), 271–293 (2002)
Alemán-Flores, M., Alvarez, L., Caselles, V.: Texture-oriented anisotropic filtering and geodesic active contours in breast tumor ultrasound segmentation. Journal of Mathematical Imaging and Vision 28(1), 81–97 (2007)
Lankton, S., Tannenbaum, A.: Localizing region-based active contours. IEEE Transactions on Image Processing 17(11), 2029–2039 (2008)
Li, C., Kao, C., Gore, J., Ding, Z.: Implicit active contours driven by local binary fitting energy. In: IEEE Computer Vision and Pattern Recognition (CVPR), Minneapolis, Minnesota, USA, pp. 17–22 (2007)
Piovano, J., Papadopoulo, T.: Local statistic based region segmentation with automatic scale selection. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part II. LNCS, vol. 5303, pp. 486–499. Springer, Heidelberg (2008)
Elber, G., In-Kwon, L., Myung-Soo, K.: Comparing offset curve approximation methods. IEEE Computer Graphics and Applications 17(3), 62–71 (1997)
Pressley, A.: Elementary differential geometry. Springer, Heidelberg (2002)
Charpiat, G., Maurel, P., Pons, J.P., Keriven, R., Faugeras, O.: Generalized gradients: priors on minimization flows. International Journal of Computer Vision 73(3), 325–344 (2007)
Cohen, L.: On active contour models and balloons. Computer Vision, Graphics, and Image Processing: Image Understanding 53(2), 211–218 (1991)
Caselles, V., Kimmel, R., Sapiro, G.: Geodesic active contours. International Journal of Computer Vision 22(1), 61–79 (1997)
Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: IEEE International Conference on Computer Visison (ICCV), Vacouver, Canada, vol. 2, pp. 416–423 (2001)
Zhu, S., Yuille, A.: Region competition: unifying snakes, region growing, Bayes/MDL for multiband image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 18(9), 884–900 (1996)
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Mille, J., Cohen, L.D. (2009). A Local Normal-Based Region Term for Active Contours. In: Cremers, D., Boykov, Y., Blake, A., Schmidt, F.R. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2009. Lecture Notes in Computer Science, vol 5681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03641-5_13
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DOI: https://doi.org/10.1007/978-3-642-03641-5_13
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