In this work we introduce the segmentation of 3D tubular structures by a PDE-based anisotropic diffusion model. The approach and the segmentation model are general but we apply the segmentation technique to the challenging problem of segmenting tubular-like structures. The reconstruction is obtained by continuously deforming an initial distance function following the Partial Differential Equation (PDE)-based diffusion model derived from a minimal volume-like variational formulation. The gradient flow for this functional leads to a nonlinear curvature motion model. An anisotropic variant is provided which includes a diffusion tensor aimed to follow the tube geometry. Numerical examples demonstrate the ability of the proposed method to produce high quality 2D/3D segmentations of complex and eventually incomplete synthetic and real data.

Segmentation of 3D tubular structures by a PDE-based anisotropic diffusion model

FRANCHINI, ELENA;MORIGI, SERENA;SGALLARI, FIORELLA
2010

Abstract

In this work we introduce the segmentation of 3D tubular structures by a PDE-based anisotropic diffusion model. The approach and the segmentation model are general but we apply the segmentation technique to the challenging problem of segmenting tubular-like structures. The reconstruction is obtained by continuously deforming an initial distance function following the Partial Differential Equation (PDE)-based diffusion model derived from a minimal volume-like variational formulation. The gradient flow for this functional leads to a nonlinear curvature motion model. An anisotropic variant is provided which includes a diffusion tensor aimed to follow the tube geometry. Numerical examples demonstrate the ability of the proposed method to produce high quality 2D/3D segmentations of complex and eventually incomplete synthetic and real data.
Mathematical Methods for Curves and Surfaces, Lecture Notes in Computer Science,
224
241
E.Franchini;S.Morigi;F.Sgallari
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/80766
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