Title
A strain energy filter for 3D vessel enhancement with application to pulmonary CT images.
Abstract
The traditional Hessian-related vessel filters often suffer from detecting complex structures like bifurcations due to an over-simplified cylindrical model. To solve this problem, we present a shape-tuned strain energy density function to measure vessel likelihood in 3D medical images. This method is initially inspired by established stress–strain principles in mechanics. By considering the Hessian matrix as a stress tensor, the three invariants from orthogonal tensor decomposition are used independently or combined to formulate distinctive functions for vascular shape discrimination, brightness contrast and structure strength measuring. Moreover, a mathematical description of Hessian eigenvalues for general vessel shapes is obtained, based on an intensity continuity assumption, and a relative Hessian strength term is presented to ensure the dominance of second-order derivatives as well as suppress undesired step-edges. Finally, we adopt the multi-scale scheme to find an optimal solution through scale space. The proposed method is validated in experiments with a digital phantom and non-contrast-enhanced pulmonary CT data. It is shown that our model performed more effectively in enhancing vessel bifurcations and preserving details, compared to three existing filters.
Year
DOI
Venue
2011
10.1016/j.media.2010.08.003
Medical Image Analysis
Keywords
Field
DocType
Vessel enhancement,Strain energy density,Shape discrimination,Pulmonary image analysis
Computer vision,Imaging phantom,Cylinder,Scale space,Hessian matrix,Artificial intelligence,Invariant (mathematics),Strain energy density function,Cauchy stress tensor,Eigenvalues and eigenvectors,Mathematics
Journal
Volume
Issue
ISSN
15
1
1361-8415
Citations 
PageRank 
References 
25
1.09
28
Authors
6
Name
Order
Citations
PageRank
Changyan Xiao1985.01
Marius Staring297159.25
Denis Shamonin3664.47
Johan H C Reiber4949.49
Jan Stolk5332.95
Berend C Stoel619911.58