B-spline snakes: a flexible tool for parametric contour detection - PubMed (original) (raw)
B-spline snakes: a flexible tool for parametric contour detection
P Brigger et al. IEEE Trans Image Process. 2000.
Abstract
We present a novel formulation for B-spline snakes that can be used as a tool for fast and intuitive contour outlining. We start with a theoretical argument in favor of splines in the traditional formulation by showing that the optimal, curvature-constrained snake is a cubic spline, irrespective of the form of the external energy field. Unfortunately, such regularized snakes suffer from slow convergence speed because of a large number of control points, as well as from difficulties in determining the weight factors associated to the internal energies of the curve. We therefore propose an alternative formulation in which the intrinsic scale of the spline model is adjusted a priori; this leads to a reduction of the number of parameters to be optimized and eliminates the need for internal energies (i.e., the regularization term). In other words, we are now controlling the elasticity of the spline implicitly and rather intuitively by varying the spacing between the spline knots. The theory is embedded into a multiresolution formulation demonstrating improved stability in noisy image environments. Validation results are presented, comparing the traditional snake using internal energies and the proposed approach without internal energies, showing the similar performance of the latter. Several biomedical examples of applications are included to illustrate the versatility of the method.
Similar articles
- Variational B-spline level-set: a linear filtering approach for fast deformable model evolution.
Bernard O, Friboulet D, Thévenaz P, Unser M. Bernard O, et al. IEEE Trans Image Process. 2009 Jun;18(6):1179-91. doi: 10.1109/TIP.2009.2017343. Epub 2009 Apr 28. IEEE Trans Image Process. 2009. PMID: 19403364 - 2D affine-invariant contour matching using B-spline model.
Wang Y, Teoh EK. Wang Y, et al. IEEE Trans Pattern Anal Mach Intell. 2007 Oct;29(10):1853-8. doi: 10.1109/TPAMI.2007.1135. IEEE Trans Pattern Anal Mach Intell. 2007. PMID: 17699928 - A multistage, optimal active contour model.
Wang M, Evans J, Hassebrook L, Knapp C. Wang M, et al. IEEE Trans Image Process. 1996;5(11):1586-91. doi: 10.1109/83.541430. IEEE Trans Image Process. 1996. PMID: 18290077 - Unsupervised contour representation and estimation using B-splines and a minimum description length criterion.
Figueiredo MT, Leitão JN, Jain AK. Figueiredo MT, et al. IEEE Trans Image Process. 2000;9(6):1075-87. doi: 10.1109/83.846249. IEEE Trans Image Process. 2000. PMID: 18255477 - Directly manipulated free-form deformation image registration.
Tustison NJ, Avants BB, Gee JC. Tustison NJ, et al. IEEE Trans Image Process. 2009 Mar;18(3):624-35. doi: 10.1109/TIP.2008.2010072. Epub 2009 Jan 20. IEEE Trans Image Process. 2009. PMID: 19171516
Cited by
- Chákṣu: A glaucoma specific fundus image database.
Kumar JRH, Seelamantula CS, Gagan JH, Kamath YS, Kuzhuppilly NIR, Vivekanand U, Gupta P, Patil S. Kumar JRH, et al. Sci Data. 2023 Feb 3;10(1):70. doi: 10.1038/s41597-023-01943-4. Sci Data. 2023. PMID: 36737439 Free PMC article. - FlyLimbTracker: An active contour based approach for leg segment tracking in unmarked, freely behaving Drosophila.
Uhlmann V, Ramdya P, Delgado-Gonzalo R, Benton R, Unser M. Uhlmann V, et al. PLoS One. 2017 Apr 28;12(4):e0173433. doi: 10.1371/journal.pone.0173433. eCollection 2017. PLoS One. 2017. PMID: 28453566 Free PMC article. - Automatic active contour-based segmentation and classification of carotid artery ultrasound images.
Chaudhry A, Hassan M, Khan A, Kim JY. Chaudhry A, et al. J Digit Imaging. 2013 Dec;26(6):1071-81. doi: 10.1007/s10278-012-9566-3. J Digit Imaging. 2013. PMID: 23417308 Free PMC article. - Statistical shape analysis of the corpus callosum in Schizophrenia.
Joshi SH, Narr KL, Philips OR, Nuechterlein KH, Asarnow RF, Toga AW, Woods RP. Joshi SH, et al. Neuroimage. 2013 Jan 1;64:547-59. doi: 10.1016/j.neuroimage.2012.09.024. Epub 2012 Sep 18. Neuroimage. 2013. PMID: 23000788 Free PMC article. - Speckle reducing bilateral filter for cattle follicle segmentation.
Tang J, Guo S, Sun Q, Deng Y, Zhou D. Tang J, et al. BMC Genomics. 2010 Nov 2;11 Suppl 2(Suppl 2):S9. doi: 10.1186/1471-2164-11-S2-S9. BMC Genomics. 2010. PMID: 21047390 Free PMC article.
LinkOut - more resources
Full Text Sources
Other Literature Sources