TY - JOUR A2 - Ye, Yangbo AU - Becciu, Alessandro AU - Fuster, Andrea AU - Pottek, Mark AU - van den Heuvel, Bart AU - ter Haar Romeny, Bart AU - van Assen, Hans PY - 2011 DA - 2011/01/12 TI - 3D Winding Number: Theory and Application to Medical Imaging SP - 516942 VL - 2011 AB - 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. SN - 1687-4188 UR - https://doi.org/10.1155/2011/516942 DO - 10.1155/2011/516942 JF - International Journal of Biomedical Imaging PB - Hindawi Publishing Corporation KW - ER -