Abstract：
:The human cerebral cortex is topologically equivalent to a sphere when it is viewed as closed at the brain stem. Due to noise and/or resolution issues, magnetic resonance imaging may see "handles" that need to be eliminated to reflect the true spherical topology. Shattuck and Leahy present an algorithm to correct such an image. The basis for their correction strategy is a conjecture, which they call the spherical homeomorphism conjecture, stating that the boundary between the foreground region and the background region is topologically spherical if certain associated foreground and background multigraphs are both graph-theoretic trees. In this paper, we prove the conjecture, and its converse, under the assumption that the foreground/background boundary is a surface.
journal_name
IEEE Trans Med Imagingjournal_title
IEEE transactions on medical imagingauthors
Abrams L,Fishkind DE,Priebe CEdoi
10.1109/TMI.2002.806590subject
Has Abstractpub_date
2002-12-01 00:00:00pages
1564-6issue
12eissn
0278-0062issn
1558-254Xjournal_volume
21pub_type
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journal_title：IEEE transactions on medical imaging
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journal_title：IEEE transactions on medical imaging
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journal_title：IEEE transactions on medical imaging
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journal_title：IEEE transactions on medical imaging
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