Title | ||
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A strain energy filter for 3D vessel enhancement with application to pulmonary CT images. |
Abstract | ||
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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 |
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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 Xiao | 1 | 98 | 5.01 |
Marius Staring | 2 | 971 | 59.25 |
Denis Shamonin | 3 | 66 | 4.47 |
Johan H C Reiber | 4 | 94 | 9.49 |
Jan Stolk | 5 | 33 | 2.95 |
Berend C Stoel | 6 | 199 | 11.58 |