Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
On generating topologically consistent isosurfaces from uniform samples
The Visual Computer: International Journal of Computer Graphics
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Active contours under topology control genus preserving level sets
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
A topology preserving level set method for geometric deformable models
IEEE Transactions on Pattern Analysis and Machine Intelligence
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We present a topology correction method for automatic reconstruction of brain cortical surfaces. We take the volume-based approach by first correcting the topology of the white matter volumes followed by extracting the cortical surfaces. A multiscale method is taken so that topology errors are gradually corrected with respect to the correction cost. The special surface-likeness property of white matter and gray matter is considered in evaluating the cost of topology correction.