References
- Caselles, V., F. Catte, T. Coll, and F. Dibos. 1993. “A Geometric Model for Active Contours.” Numerische Mathematik 66: 1–31. doi:10.1007/BF01385685.
- Caselles, V., R. Kimmel, and G. Sapiro. 1997. “Geodesic Active Contours.” International Journal of Computer Vision 22 (1): 61–79. doi:10.1023/A:1007979827043.
- Chalana, V., D. T. Linker, D. R. Haynor, and Y. Kim. 1996. “A Multiple Active Contour Model for Cardiac Boundary Detection on Echocardiographic Sequences.” IEEE Transactions on Medical Imaging 15 (3, June): 290–298. doi:10.1109/42.500138.
- Chan, T. F., and L. A. Vese. 2001a. “Active Contours without Edges.” IEEE Transactions on Image Processing 10 (2, February): 266–277. doi:10.1109/83.902291.
- Chan, T. F., and L. A. Vese. 2001b. “A Level Set Algorithm for Minimizing the Mumford-Shah Functional in Image Processing.” In Workshop on Variational and Level Set Methods in Computer Vision, July 13, Vancouver, BC, 161–168, IEEE. doi:10.1109/VLSM.2001.938895.
- Chan, T. F., and W. Zhu. 2005. “Level Set Based Shape Prior Segmentation.” Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition 2 (June): 1164–1170.
- Chen, C. M., Y. H. Chou, C. S. K. Chen, J. Z. Cheng, Y. F. Ou, F. C. Yeh, and K. W. Chen. 2005. “Cell-Competition Algorithm: A New Segmentation Algorithm for Multiple Objects with Irregular Boundaries in Ultrasound Images.” Ultrasound in Medicine and Biology 31 (12): 1647–1664. doi:10.1016/j.ultrasmedbio.2005.09.011.
- Chen, Y., H. D. Tagare, S. Thiruvenkadam, F. Huang, and D. Wilson. 2002. “Using Prior Shapes in Geometric Active Contours in a Variational Framework.” International Journal of Computer Vision 50 (3): 315–328. doi:10.1023/A:1020878408985.
- Cheng, J. Z., C. M. Chen, Y. H. Chou, C. S. K. Chen, C. M. Tiu, and K. W. Chen. 2007. “Cell-Based Two-Region Competition Algorithm with a MAP Framework Forboundary Delineation of a Series of 2D Ultrasound Images.” Ultrasound in Medicine and Biology 33 (10): 1640–1650. doi:10.1016/j.ultrasmedbio.2007.04.019.
- Cremers, D., T. Kohlberger, and C. Schnorr. 2002. “Nonlinear Shape Statistics in Mumford-Shah Based Segmentation.” European Conference on Computer Vision 2351: 516–518.
- Evans, L. 1998. Partial Differential Equations. Providence: American Mathematical Society.
- Gastaud, M., M. Barlaud, and G. Aubert. 2004 May. “Combining Shape Prior and Statistical Features for Active Contour Segmentation.” IEEE TCSVTspecial Session on Audio and Video Analysis for Interactive Multimedia Services 14 (5): 726–734.
- Kass, M., A. Witkin, and D. Terzopoulos. 1988. “Snakes: Active Contour Models.” International Journal of Computer Vision 1: 321–331. doi:10.1007/BF00133570.
- Kichenassamy, S., A. Kumar, P. J. Olver, A. Tannenbaum, and A. Yezzi. 1996. “Conformal Curvature Flows: From Phase Transitions to Active Vision.” Analytical and Numerical Results for an Escape Problem 134: 275–301. doi:10.1007/BF00379537.
- Leventon, M., W. Grimson, and O. Faugeras 2000. “Statistical Shape Influence in Geodesic Active Contours,” Biomedical Imaging V. Proceedings of the 5th IEEE EMBS International Summer School on Biomedical Imaging, June 15-23, Berder Island, France. IEEE. https://ieeexplore.ieee.org/document/1233968.
- Malladi, R., J. A. Sethian, and B. C. Vemuri. 1995. “Shape Modeling with Front Propagation: A Level Set Approach.” IEEE Transactions on Pattern Analysis and Machine Intelligence 17: 158–175. doi:10.1109/34.368173.
- Mumford, D., and J. Shah. 1989. “Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems.” Communications on Pure and Applied Mathematics 42: 577–684. doi:10.1002/cpa.3160420503.
- Noble, J. A., and D. Boukerroui. 2006 August. “Ultrasound Image Segmentation: A Survey.” IEEE Transactions on Medical Imaging 25 (8): 987–1010.
- Osher, S., and R. Fedkiw. 2002. Level Set Methods and Dynamic Implicit Surfaces, 153. New York: Springer-Verlag, Applied Mathematical Sciences.
- Paragios, N., and R. Deriche. 2000. “Geodesic Active Contours and Level Sets for the Detection and Tracking of Moving Objects.” IEEE Transactions on Pattern Analysis and Machine Intelligence 22: 266–280. doi:10.1109/34.841758.
- Saito, T., and J. J. Toriwaki. 1994. “New Algorithms for Euclidian Distance Transformations of an N-Dimensional Digitized Picture with Applications.” Pattern Recognition 27: 1551–1565. doi:10.1016/0031-3203(94)90133-3.
- Vese, L. A., and T. F. Chan. 2002. “A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model.” International Journal of Computer Vision 50 (3): 271–293. doi:10.1023/A:1020874308076.
- Yu, S. X., and J. Shi. 2004. “Segmentation Given Partial Grouping Constraints.” IEEE Transactions on Pattern Analysis and Machine Intelligence 26 (2): 173–183. doi:10.1109/TPAMI.2004.1262179.