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自适应小波阈值函数在图像增强中的应用研究OA

Research on application of self-adaptive wavelet threshold function in image enhancement

中文摘要英文摘要

常规小波阈值算法在小波变换时阈值位置存在不平滑和不连续等问题,导致处理含噪图像细节丢失和增强效果不佳.为此,文中基于softsign(x)函数重构了一种自适应小波阈值函数,该函数可以有效缓解梯度消失问题,同时引入收缩因子并根据小波分解层数自适应调整,以准确区分有用信息和噪声,提升图像增强效果.通过仿真实验,对比了常规阈值函数和其他改进阈值函数,结果表明,所提的自适应小波阈值函数在去噪和增强图像细节方面效果显著,可以有效增强含噪图像的边缘和纹理信息,优于其他方法.

Conventional wavelet thresholding algorithms exhibit issues of non-smoothness and discontinuity at the threshold position during wavelet transformation,leading to the loss of image details and poor enhancement effects when processing noisy images.In view of this,a self-adaptive wavelet threshold function based on the softsign(x)function is reconstructed.This function alleviates the gradient vanishing effectively.In addition,a contraction factor is introduced,and self-adaption adjustment is carried out according to the number of wavelet decomposition layers to distinguish between useful information and noise accurately,thereby enhancing the image enhancement effect.Comparisons were made between conventional threshold functions and other improved threshold functions by simulation experiments.The results indicate that the self-adaptive wavelet threshold function proposed in this study has a significant effect in denoising and enhancing image details,and can effectively enhance the edge and texture information of noisy images,outperforming the other methods.

翁瀚尧;田慧会

中国科学院武汉岩土力学研究所 岩土力学与工程安全全国重点实验室,湖北 武汉 430071中国科学院大学,北京 100049

信息技术与安全科学

图像增强小波变换自适应小波阈值函数含噪图像去噪softsign(x)收缩因子

image enhancementwavelet transformself-adaptive wavelet threshold functionnoisy image denoisingsoftsign(x)contraction factor

《现代电子技术》 2026 (3)

31-35,5

国家自然科学基金面上项目(42072312)

10.16652/j.issn.1004-373x.2026.03.006

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