Variational method combined with Frangi vesselness for tubular object segmentation

Olivia Miraucourt 1, 2 Anna Jezierska 2 Hugues Talbot 2 Stéphanie Salmon 1 Nicolas Passat 3
1 LMR - Laboratoire de Mathématiques de Reims
2 LIGM - Laboratoire d'Informatique Gaspard-Monge
3 CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804
Abstract : Tubular structure extraction from (bio)medical images is a prerequisite for many applications in bio- engineering. The two main issues related to such extraction, namely denoising and segmentation, are generally handled independently and sequentially, by dedicated methods. In this article, we model the problem of tubular structure extraction in an optimization framework and we show how a Hessian- based vesselness measure can be embedded in the formulation, allowing in particular robust vessel extraction. Preliminary experiments of this method, on synthetic and retinal images, emphasise the potential usefulness of this approach.
Keywords : primal-dual algorithm tubular structures Frangi vesselness total variation
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Olivia Miraucourt, Anna Jezierska, Hugues Talbot, Stéphanie Salmon, Nicolas Passat. Variational method combined with Frangi vesselness for tubular object segmentation. Computational & Mathematical Biomedical Engineering (CMBE), 2015, Paris, France. pp.485-488. ⟨hal-01695072⟩

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