Graph Cut Based Segmentation of Predefined Shapes: Applications to Biological Imaging [chapter]

Emmanuel Soubies, Pierre Weiss, Xavier Descombes
<span title="2014-11-23">2014</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="" style="color: black;">Advances in Intelligent Systems and Computing</a> </i> &nbsp;
We propose an algorithm to segment 2D ellipses or 3D ellipsoids. This problem is of fundamental importance in various applications of cell biology. The algorithm consists of minimizing a contrast invariant energy defined on sets of non overlapping ellipsoids. This highly non convex problem is solved by combining a stochastic approach based on marked point processes and a graph-cut algorithm that selects the best admissible configuration. In order to accelerate the computing times, we delineate
more &raquo; ... ast algorithms to assess whether two ellispoids intersect or not and various heuristics to improve the convergence rate.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1007/978-3-319-12610-4_10</a> <a target="_blank" rel="external noopener" href="">fatcat:ueeh4zmi7zezli74dh5sun2leq</a> </span>
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