conference paper published yes Chao Chen author 3E92416E-F248-11E8-B48F-1D18A9856A87 Daniel Freedman author HeEd department MCV: Medical Computer Vision 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. Springer2010Beijing, China eng 10.1007/978-3-642-18421-5_4 653331 - 42 Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve  and Surface Evolution.” In <i>Conference Proceedings MCV 2010</i>, 6533:31–42. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-18421-5_4">https://doi.org/10.1007/978-3-642-18421-5_4</a>. Chen, C., &#38; Freedman, D. (2010). Topology noise removal for curve  and surface evolution. In <i>Conference proceedings MCV 2010</i> (Vol. 6533, pp. 31–42). Beijing, China: Springer. <a href="https://doi.org/10.1007/978-3-642-18421-5_4">https://doi.org/10.1007/978-3-642-18421-5_4</a> C. Chen and D. Freedman, “Topology noise removal for curve  and surface evolution,” in <i>Conference proceedings MCV 2010</i>, Beijing, China, 2010, vol. 6533, pp. 31–42. Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve  and Surface Evolution.” <i>Conference Proceedings MCV 2010</i>, vol. 6533, Springer, 2010, pp. 31–42, doi:<a href="https://doi.org/10.1007/978-3-642-18421-5_4">10.1007/978-3-642-18421-5_4</a>. C. Chen, D. Freedman, in:, Conference Proceedings MCV 2010, Springer, 2010, pp. 31–42. Chen C, Freedman D. Topology noise removal for curve  and surface evolution. In: <i>Conference Proceedings MCV 2010</i>. Vol 6533. Springer; 2010:31-42. doi:<a href="https://doi.org/10.1007/978-3-642-18421-5_4">10.1007/978-3-642-18421-5_4</a> 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. 37822018-12-11T12:05:08Z2026-07-07T13:07:08Z