@Article{DeboraGil2017, author="Debora Gil and Sergio Vera and Agnes Borras and Albert Andaluz and Miguel Angel Gonzalez Ballester", title="Anatomical Medial Surfaces with Efficient Resolution of Branches Singularities", journal="Medical Image Analysis", year="2017", publisher="Elsevier B.V.", volume="35", pages="390--402", optkeywords="Medial Representations", optkeywords="Shape Recognition", optkeywords="Medial Branching Stability", optkeywords="Singular Points", abstract="Medial surfaces are powerful tools for shape description, but their use has been limited due to the sensibility existing methods to branching artifacts. Medial branching artifacts are associated to perturbations of the object boundary rather than to geometric features. Such instability is a main obstacle for a con dent application in shape recognition and description. Medial branches correspond to singularities of the medial surface and, thus, they are problematic for existing morphological and energy-based algorithms. In this paper, we use algebraic geometry concepts in an energy-based approach to compute a medial surface presenting a stable branching topology. We also present an ecient GPU-CPU implementation using standard image processing tools. We show the method computational eciency and quality on a custom made synthetic database. Finally, we present some results on a medical imaging application for localization of abdominal pathologies.", optnote="IAM; 600.060; 600.096; 600.075; 600.145", optnote="exported from refbase (http://refbase.cvc.uab.es/show.php?record=2775), last updated on Tue, 25 Feb 2020 13:07:08 +0100", doi="10.1016/j.media.2016.07.002", file=":http://refbase.cvc.uab.es/files/GVB2016.pdf:PDF" }