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Global Minimum for Active Contour Models: A Minimal Path Approach
Abstract
A new boundary detection approach for shape modeling is presented. It detects the global minimum of an active contour model’s energy between two end points. Initialization is made easier and the curve is not trapped at a local minimum by spurious edges. We modify the “snake” energy by including the internal regularization term in the external potential term. Our method is based on finding a path of minimal length in a Riemannian metric. We then make use of a new efficient numerical method to find this shortest path.It is shown that the proposed energy, though based only on a potential integrated along the curve, imposes a regularization effect like snakes. We explore the relation between the maximum curvature along the resulting contour and the potential generated from the image.The method is capable to close contours, given only one point on the objects' boundary by using a topology-based saddle search routine.We show examples of our method applied to real aerial and medical images.
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Cites
A Computational Approach to Edge Detection
Canny, J. (1986) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.1986.4767851 · Cited by 30,004
Cited by
Graph Cuts and Efficient N-D Image Segmentation
Boykov, Y., & Funka-Lea, G. (2006) · International Journal of Computer Vision · doi:10.1007/s11263-006-7934-5 · Cited by 1,910
Blood vessel segmentation algorithms — Review of methods, datasets and evaluation metrics
Moccia, S., De Momi, E., El Hadji, S., & Mattos, L. S. (2018) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2018.02.001 · Cited by 567
Computing geodesics and minimal surfaces via graph cuts
Boykov, & Kolmogorov (2003) · Proceedings Ninth IEEE International Conference on Computer Vision · doi:10.1109/iccv.2003.1238310 · Cited by 555
Amhaz, R., Chambon, S., Idier, J., & Baltazart, V. (2016) · IEEE Transactions on Intelligent Transportation Systems · doi:10.1109/tits.2015.2477675 · Cited by 507
Path Planning for Autonomous Underwater Vehicles
Petres, C., Pailhas, Y., Patron, P., Petillot, Y., Evans, J., & Lane, D. (2007) · IEEE Transactions on Robotics · doi:10.1109/tro.2007.895057 · Cited by 433
Metadata
- Authors
- Cohen, L. D., & Kimmel, R.
- Venue
- International Journal of Computer Vision
- Published
- 1997-08
- Volume
- 24
- Issue
- 1
- Pages
- 57-78
- ISSN
- 0920-5691 (ISSN-L)
- 1573-1405
- OpenAlex
- W1569930776
- Cited by
- 625
- References
- 1
- FWCI
- 7.28
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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