基于分数阶微分的超声斑点去噪

邵党国; 周婷; 刘帆; 易三莉; 相艳; 马磊

doi:10.13873/J.1000-9787(2017)09-0139-04

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基于分数阶微分的超声斑点去噪

计算与测试 | 更新时间：2025-09-11

- 基于分数阶微分的超声斑点去噪
- Ultrasonic speckle denoising based on fractional order differentiation
- 传感器与微系统 2017年36卷第9期页码：139-142
- 作者机构：
  
  昆明理工大学信息工程与自动化学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目（61363043,61163021）;昆明理工大学省级人才培养项目（KKSY201303122）
- DOI：10.13873/J.1000-9787(2017)09-0139-04
  中图分类号： TP391.41
- 纸质出版：2017
- 稿件说明：
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[1]邵党国,周婷,刘帆,易三莉,相艳,马磊.基于分数阶微分的超声斑点去噪[J].传感器与微系统,2017,36(09):139-142.

SHAO Dang-guo, ZHOU Ting, LIU Fan, et al. Ultrasonic speckle denoising based on fractional order differentiation[J]. 2017, 36(9): 139-142.
[1]邵党国,周婷,刘帆,易三莉,相艳,马磊.基于分数阶微分的超声斑点去噪[J].传感器与微系统,2017,36(09):139-142. DOI： 10.13873/J.1000-9787(2017)09-0139-04.

SHAO Dang-guo, ZHOU Ting, LIU Fan, et al. Ultrasonic speckle denoising based on fractional order differentiation[J]. 2017, 36(9): 139-142. DOI： 10.13873/J.1000-9787(2017)09-0139-04.

摘要

为了保留更多的纹理信息

构建了基于具有阻止扩散的梯度阈值k

和分数阶微分的阶数v平衡关系的分数偏微分方程的图像去噪模型

其有效结合了分数微积分理论和偏微分方程方法

并通过分数微分掩模算子实现了数值。超声体模信验和体内成像表明:基于分数阶微分的各向异性扩散方法可以提高组织的信噪比（SNR）和超声图像的质量。

Abstract

In order to preserve more texture information

the image denoising model based on fractional partial differential equations with balance relation between gradient threshold which prevents diffusion k and order number of fractional order differentiation v is constructed by effective combination of fractional calculus theory and partial differential equations method

and numerical is achieved using fractional differential mask operator. Ultrasound phantom testing and in vivo imaging show that the proposed method can improve the quality of an ultrasound image in terms of tissue SNR.

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references

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