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dc.contributor.authorSundaramoorthi, Ganeshen_US
dc.contributor.authorYezzi, Anthonyen_US
dc.date.accessioned2013-09-09T19:43:41Z
dc.date.available2013-09-09T19:43:41Z
dc.date.issued2007-03
dc.identifier.citationG. Sundaramoorthi and A. Yezzi, “Global Regularizing Flows with Topology Preservation for Active Contours and Polygons,” IEEE Transactions on Image Processing, 16 ( 3), 803-812 (March 2007)en_US
dc.identifier.issn1057-7149
dc.identifier.urihttp://hdl.handle.net/1853/48914
dc.description©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.en_US
dc.descriptionDOI: 10.1109/TIP.2007.891071en_US
dc.description.abstractActive contour and active polygon models have been used widely for image segmentation. In some applications, the topology of the object(s) to be detected from an image is known a priori, despite a complex unknown geometry, and it is important that the active contour or polygon maintain the desired topology. In this work, we construct a novel geometric flow that can be added to image-based evolutions of active contours and polygons in order to preserve the topology of the initial contour or polygon. We emphasize that, unlike other methods for topology preservation, the proposed geometric flow continually adjusts the geometry of the original evolution in a gradual and graceful manner so as to prevent a topology change long before the curve or polygon becomes close to topology change. The flow also serves as a global regularity term for the evolving contour, and has smoothness properties similar to curvature flow. These properties of gradually adjusting the original flow and global regularization prevent geometrical inaccuracies common with simple discrete topology preservation schemes. The proposed topology preserving geometric flow is the gradient flow arising from an energy that is based on electrostatic principles. The evolution of a single point on the contour depends on all other points of the contour, which is different from traditional curve evolutions in the computer vision literature.en_US
dc.language.isoen_USen_US
dc.publisherGeorgia Institute of Technologyen_US
dc.subjectActive contoursen_US
dc.subjectGlobal flowsen_US
dc.subjectGlobal regularizationen_US
dc.subjectPolygonsen_US
dc.subjectTopology preservationen_US
dc.subjectVariational methodsen_US
dc.titleGlobal regularizing flows with topology preservation for active contours and polygonsen_US
dc.typeArticleen_US
dc.contributor.corporatenameGeorgia Institute of Technology. School of Electrical and Computer Engineeringen_US
dc.publisher.originalInstitute of Electrical and Electronics Engineersen_US
dc.identifier.doi10.1109/TIP.2007.891071


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