---
_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
article_processing_charge: No
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: <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>'
  apa: '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>'
  chicago: 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>.
  ieee: 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.
  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.” <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>.
  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: 2026-07-07T13:07:08Z
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6533
year: '2010'
...