3D winding number: theory and application to medical imaging

A. Becciu, A. Fuster, M. Pottek, B.J.P. van den Heuvel, B.M. Haar Romenij, ter, H.C. Assen, van

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Abstract

We develop a new formulation, mathematically elegant, to detect critical points of 3D scalar images. It is based on a topological number, which is the generalization to three dimensions of the 2D winding number. We illustrate our method by considering three di®erent biomedical applications, namely, detection and counting of ovarian follicles and neuronal cells and estimation of cardiac motion from tagged MR images. Qualitative and quantitative evaluation emphasize the reliability of the results.
Original languageEnglish
Article number516942
Pages (from-to)516942-1/13
Number of pages13
JournalInternational Journal of Biomedical Imaging
Volume2011
DOIs
Publication statusPublished - 2011

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