Performance Analysis of Real and Complex Wavelet Transform Techniques used for Wavelet-Based Image Denoising

Lakshmi Sai Niharika Vulchi, G. Aakash, D. N. Kumar, H. Valiveti
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Abstract

Image de noising is a principal technique majorly used for original image restoration, segmentation and image classification. It is basically used to refine the images by eliminating noise embedded. In the current work, authors present a denoising technique based on Wavelet Domain Filtering. Denoising of images after domain transform helps in separating the noise and data components. The discrete wavelet transform and dual tree complex wavelet transforms work on the analysis and synthesis filter banks to filter and further segment the noisy input signal to low frequency and high frequency components constituting data artifacts and noise respectively. The progressive decomposition of data to a particular number of levels finally results in a noise-free output after filtering, considering a particular threshold. A comparative analysis of thresholding techniques is presented and evaluated for the parameters Signal to Noise Ratio (SNR) and lowest Root Mean Square Error Value (RMSE). The simulation results indicate superior performance of dual tree complex wavelet transform(DTCWT) when compared to the discrete wavelet transform.
用于小波图像去噪的实小波变换和复小波变换性能分析
图像去噪是一种主要用于原始图像恢复、图像分割和图像分类的技术。它基本上是通过消除嵌入的噪声来细化图像。本文提出了一种基于小波域滤波的图像去噪技术。经过域变换后的图像去噪有助于分离噪声和数据分量。离散小波变换和对偶树复小波变换分别作用于分析和合成滤波器组,对输入的噪声信号进行滤波并进一步分割为构成数据伪影和噪声的低频和高频分量。考虑到特定阈值,将数据逐步分解为特定数量的级别,最终在滤波后得到无噪声输出。对比分析了阈值技术,并对信噪比(SNR)和最小均方根误差值(RMSE)参数进行了评价。仿真结果表明,与离散小波变换相比,对偶树复小波变换(DTCWT)具有更好的性能。
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