A strain energy filter for 3D vessel enhancement with application to pulmonary CT images

作者：Xiao, Changyan^*; Staring, Marius; Shamonin, Denis; Reiber, Johan H. C.; Stolk, Jan; Stoel, Berend C.

来源：Medical Image Analysis, 2011, 15(1): 112-124.

DOI：10.1016/j.media.2010.08.003

• Vessel enhancement
• Strain energy density
• Shape discrimination
• Pulmonary image analysis

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.

• 出版日期2011-2
• 单位湖南大学