--- _id: '3782' abstract: - lang: eng text: In cortex surface segmentation, the extracted surface is required to have a particular topology, namely, a two-sphere. We present a new method for removing topology noise of a curve or surface within the level set framework, and thus produce a cortical surface with correct topology. We define a new energy term which quantifies topology noise. We then show how to minimize this term by computing its functional derivative with respect to the level set function. This method differs from existing methods in that it is inherently continuous and not digital; and in the way that our energy directly relates to the topology of the underlying curve or surface, versus existing knot-based measures which are related in a more indirect fashion. The proposed flow is validated empirically. acknowledgement: "Partially supported by the Austri an Science Fund unde r grant P20134-N13.\r\nWe thank Helena Molina-Abril for very helpful discussion. We thank anonymous reviewers for helpful comments." alternative_title: - LNCS author: - first_name: Chao full_name: Chen, Chao id: 3E92416E-F248-11E8-B48F-1D18A9856A87 last_name: Chen - first_name: Daniel full_name: Freedman, Daniel last_name: Freedman citation: ama: 'Chen C, Freedman D. Topology noise removal for curve  and surface evolution. In: Conference Proceedings MCV 2010. Vol 6533. Springer; 2010:31-42. doi:10.1007/978-3-642-18421-5_4' apa: 'Chen, C., & Freedman, D. (2010). Topology noise removal for curve  and surface evolution. In Conference proceedings MCV 2010 (Vol. 6533, pp. 31–42). Beijing, China: Springer. https://doi.org/10.1007/978-3-642-18421-5_4' chicago: Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve  and Surface Evolution.” In Conference Proceedings MCV 2010, 6533:31–42. Springer, 2010. https://doi.org/10.1007/978-3-642-18421-5_4. ieee: C. Chen and D. Freedman, “Topology noise removal for curve  and surface evolution,” in Conference proceedings MCV 2010, Beijing, China, 2010, vol. 6533, pp. 31–42. ista: 'Chen C, Freedman D. 2010. Topology noise removal for curve  and surface evolution. Conference proceedings MCV 2010. MCV: Medical Computer Vision, LNCS, vol. 6533, 31–42.' mla: Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve  and Surface Evolution.” Conference Proceedings MCV 2010, vol. 6533, Springer, 2010, pp. 31–42, doi:10.1007/978-3-642-18421-5_4. short: C. Chen, D. Freedman, in:, Conference Proceedings MCV 2010, Springer, 2010, pp. 31–42. conference: end_date: 2010-09-20 location: Beijing, China name: 'MCV: Medical Computer Vision' start_date: 2010-09-20 date_created: 2018-12-11T12:05:08Z date_published: 2010-12-31T00:00:00Z date_updated: 2021-01-12T07:52:10Z day: '31' department: - _id: HeEd doi: 10.1007/978-3-642-18421-5_4 intvolume: ' 6533' language: - iso: eng month: '12' oa_version: None page: 31 - 42 publication: ' Conference proceedings MCV 2010' publication_status: published publisher: Springer publist_id: '2445' quality_controlled: '1' scopus_import: 1 status: public title: Topology noise removal for curve and surface evolution type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 6533 year: '2010' ...