3D Winding Number: Theory and Application to Medical Imaging-Reference-Cited by-同舟云学术

3D Winding Number: Theory and Application to Medical Imaging

Published:2011 Issue: Volume:2011 Page:1-13
ISSN:1687-4188
Container-title:International Journal of Biomedical Imaging
language:en
Short-container-title:International Journal of Biomedical Imaging

Author:

Becciu Alessandro¹,Fuster Andrea¹,Pottek Mark²,van den Heuvel Bart¹,ter Haar Romeny Bart¹^ORCID,van Assen Hans¹

Affiliation:

1. Department of Biomedical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands

2. Department of Biology, Kaiserslautern University of Technology, 67653 Kaiserslautern, Germany

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 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.

Publisher

Hindawi Limited

Subject

Radiology, Nuclear Medicine and imaging

Link

http://downloads.hindawi.com/journals/ijbi/2011/516942.pdf

Reference31 articles.

1. Unconstrained automatic image matching using multiresolutional critical-point filters

2. Image Interpolation Using Enhanced Multiresolution Critical-Point Filters

3. A computational method for segmenting topological point-sets and application to image analysis

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