3D Winding Number: Theory and Application to Medical Imaging | Zendy

Alessandro Becciu | Zendy; A. Fuster | Zendy; Mark Pottek | Zendy; Bart van den Heuvel | Zendy; Bart M. ter Haar Romeny | Zendy; Hans C. van Assen | Zendy

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3D Winding Number: Theory and Application to Medical Imaging

Author(s) -

Alessandro Becciu,

A. Fuster,

Mark Pottek,

Bart van den Heuvel,

Bart M. ter Haar Romeny,

Hans C. van Assen

Publication year - 2011

Publication title -

international journal of biomedical imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.626

H-Index - 41

eISSN - 1687-4196

pISSN - 1687-4188

DOI - 10.1155/2011/516942

Subject(s) - computer science , winding number , generalization , scalar (mathematics) , reliability (semiconductor) , artificial intelligence , data mining , topology (electrical circuits) , mathematics , physics , geometry , mathematical analysis , power (physics) , quantum mechanics , combinatorics

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 different 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 emphasizes the reliability of the results.

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