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
Journal of Mathematical Imaging and Vision - Special issue on mathematical imaging
A three-dimensional holes closing algorithm
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
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Reconstructing a topologically correct representation of the brain cortex surface from magnetic resonance images is important in several medical and neuroscience applications. Most previous methods have either made drastic changes to the underlying anatomy or relied on hand-editing. Recently, a new technique due to Shattuck and Leahy yields a fully-automatic procedure with little distortion of the underlying segmentation. The present paper can be considered as an extension of this approach to include arbitrary cut directions and arbitrary digital connectivities. A detailed analysis of the method's performance on 15 magnetic resonance brain images is provided.