Coupled Partial Differential Equations for Vessel Enhancement

Xiaoqiang Zhao, Ruojun Liang, Yongqiang Zhao
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Abstract

In this paper, a new nonlinear partial differential equations (PDEs) model is presented to enhance the local coherence of vascular structures on 2D images. The proposed model couples shock filter and crease enhancement diffusion (CED) filter which uses the crease measurement to depict vascular structure. The experiments with synthetic and real images show this filter outperforms the shock filter and CED filter.
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血管增强的耦合偏微分方程
本文提出了一种新的非线性偏微分方程(PDEs)模型来增强二维图像上血管结构的局部相干性。该模型结合了激波滤波和折痕增强扩散滤波,利用折痕测量来描述血管结构。合成图像和真实图像的实验表明,该滤波器的性能优于冲击滤波器和CED滤波器。
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