Title
Composed Segmentation of Tubular Structures by an Anisotropic PDE Model
Abstract
In this work we introduce the composed segmentation (C-segmentation), that is a priori composition of sources to obtain a single one segmentation result according to specific logic combinations. The approach and the segmentation model are general but we apply the C-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.
Year
DOI
Venue
2009
10.1007/978-3-642-02256-2_7
SSVM
Keywords
Field
DocType
segmentation result,c-segmentation technique,diffusion tensor,nonlinear curvature motion model,anisotropic variant,composed segmentation,anisotropic pde model,diffusion model,challenging problem,tubular structures,segmentation model,functional lead,partial differential equation,distance function,gradient flow
Active contour model,Nonlinear system,Curvature,Segmentation,Mathematical analysis,A priori and a posteriori,Metric (mathematics),Algorithm,Numerical analysis,Partial differential equation,Mathematics
Conference
Volume
ISSN
Citations 
5567
0302-9743
2
PageRank 
References 
Authors
0.39
9
3
Name
Order
Citations
PageRank
Elena Franchini1110.90
Serena Morigi214220.57
Fiorella Sgallari321722.22