基于二进小波与PDE的乳腺X线图像增强  

Breast X-ray image enhancement based on dyadic wavelet and PDE

作　　者：唐泉 黄允浒 TANG Quan, HUANG Yun-hu(College of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, Chin)

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830017

出　　处：《电子设计工程》2018年第5期22-26,33,共6页Electronic Design Engineering

基　　金：国家自然科学基金资助项目(11261061;61362039;10661010);新疆师范大学研究生科技创新项目资助(XSY201602010)

摘　　要：腺钼靶X线摄影成像是乳腺癌早期发现、早期诊断的最有效方法,具有重要价值.本文提出结合àtrous算法与偏微分方程的乳腺X线图像增强,该方法在二进小波理论基础上,利用推广的二维àtrous算法对乳腺图进行分解,接着根据低频和高频系数特点设计了不同的软硬阈值法对经过分解后的低频子带进行去噪预处理,进而利用最大类间方差法的7段对称连续分段函数增强;而高频在偏微分方程的P-M正则化模型基础上利用一个新的扩散系数,调整常数α以达到对高频子带噪声较好抑制,后用改进的具有动态范围压缩和颜色保真的多尺度Retinex算法进行增强;最后利用àtrous算法重构增强后的低频和高频子带.为验证该方法的有效性,我们还将其与传统的图像增强方法作比较;仿真试验结果表明,该方法对乳腺X线图像的增强效果远远好于传统的增强方法。Gland mammography imaging is the most effective method for early diagnosis of breast cancer early detection, and has important value. This paper proposes a trous algorithm based on mammograms and partial differential equation method in the enhancement, dyadic wavelet theory based on the promotion of the use of a 2-D a trous algorithm to decompose the breast, then according to the low frequency and high frequency coefficients of the design characteristics of different soft and hard threshold method on the low frequency subband coefficients are denoised, then using the Otsu method 7 symmetric continuous piecewise function enhancement; high frequency by using a new diffusion coefficient based on P-M regularization model of partial differential equations. In order to achieve the constant α adjustment of the high frequency subband noise restrain, enhancement of multi-scale Retinex algorithm with improved dynamic range compression and color fidelity; finally, Finally, the a trous algorithm is used to reconstruct the enhanced low frequency and high frequency sub bands. To verify the validity of the method, we have with the traditional image enhancement methods are compared; simulation results show that the enhancement effect of breast X-ray image enhancement is far better than traditional methods.

关 键 词：二进小波 偏微分方程 二维a trous算法 分解与重构 多尺度RETINEX算法 OTSU算法 

分 类 号：TN97[电子电信—信号与信息处理]