Abstract
The proposed algorithm has been developed as a pre-processing tool for inflating cortical surface meshes, which have been created using segmentation and subsequent triangulation of magnetic resonance images (MRI) [1]. It works directly on the triangulated surface and is therefore completely independent from the underlying segmentation. It needs no other information than the triangle mesh itself, which makes it generally applicable for the removal of topological noise. The homeomorphism between cortical surface and sphere is re-established by removing handles and opening connections. Moreover, the presented approach guarantees a manifold mesh by locally examining connectivity in the neighbourhood of each vertex and removing non-manifold components. It will be embedded into the source reconstruction software package CURRY (Compumedics Neuroscan, El Paso, TX, USA).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Wagner M. Rekonstruktion neuronaler Ströme aus bioelektrischen und biomagnetischen Messungen auf der aus MR-Bildern segmentierten Hirnrinde. Ph.D. thesis. TU Hamburg Harburg; 1998.
Fischl B, Sereno MI, Dale MA. Cortical Surface-Based Analysis I and II. NeuroImage 1999;9:179–207.
Evens L, Thompson R. Algebraic Topology; 2002. Northwestern University of New York.
Han X, Xu C, Prince JL. A Topology Preserving Level Set Method for Geometric Deformable Models. IEEE Trans Pattern Anal 2003;25:755–768.
Shattuck DW, Leahy RM. Automated Graph-Based Analysis and Correction of Cortical Volume Topology. IEEE Trans Med Imaging 2001;11:1167–1177.
Ségonne F, Grimson E, Fischl B. Topological Correction of Subcortical Segmentation. In: LNCS 2879; 2003. p. 695–702.
Ségonne F, Grimson E, Fischl B. A Genetic Algorithm for the Topology Correction of Cortical Surfaces. In: Christensen GE, Sonka M, editors. LNCS 3565; 2005. p. 393–405.
Guskov I, Wood ZJ. Topological Noise Removal. In: Watson B, Buchanan JW, editors. Proceedings of Graphic Interface 2001; 2001. p. 19–26.
Wood ZJ. Computational Topology Algorithms for Discrete 2-Manifolds. Ph. D. dissertation. California Institute of Technology; 2003.
Gumhold S. Mesh Compression. Ph. D. dissertation. Fakultät für Informatik Eberhard-Karls-Universität zu Tübingen; 2000.
MacLaurin C, Robertson G. Euler Characteristic in Odd Dimensions. Australian Mathematical Society Gazette 2003;30:195–199.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mang, A., Wagner, M., Müller, J., Fuchs, M., Buzug, T.M. (2006). Restoration of the Sphere-Cortex Homeomorphism. In: Handels, H., Ehrhardt, J., Horsch, A., Meinzer, HP., Tolxdorff, T. (eds) Bildverarbeitung für die Medizin 2006. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32137-3_58
Download citation
DOI: https://doi.org/10.1007/3-540-32137-3_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32136-1
Online ISBN: 978-3-540-32137-8
eBook Packages: Computer Science and Engineering (German Language)