An Improved Wavelet Threshold Function And Its Application In Image Edge Detection

Cui Wang, Caixia Deng, Zhibin Hu
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引用次数: 2

Abstract

In order to filter out image noise better and make it have better clarity, continuity and anti-noise performance in image edge extraction. Firstly, this paper constructs a new threshold function, compared with the traditional soft and hard threshold function and some existing improved methods, the threshold function has better adjustability and it is also continuous and almost smooth everywhere. When dealing with the wavelet coefficients, the real information on them can be retained more, and the noise can be effectively filtered at the same time. The simulation experiment shows that the image processed by the new threshold function has a high PSNR and a small MSE, which can be closer to the original image. Finally, the improved threshold function de-noising algorithm and the dyadic wavelet transform modulus maximum edge detection algorithm are combined to apply to image edge detection. By combining the advantages of the two algorithms, so that we can get clearer and more continuous image edges, and the contour is more complete.
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改进的小波阈值函数及其在图像边缘检测中的应用
为了更好地滤除图像噪声,使其在图像边缘提取中具有更好的清晰度、连续性和抗噪性能。首先,本文构造了一个新的阈值函数,与传统的软硬阈值函数和现有的一些改进方法相比,该阈值函数具有更好的可调性,并且处处连续且几乎平滑。在对小波系数进行处理时,能更好地保留小波系数上的真实信息,同时能有效地滤除噪声。仿真实验表明,新阈值函数处理后的图像具有较高的PSNR和较小的MSE,可以更接近原始图像。最后,将改进的阈值函数去噪算法与二进小波变换模极大值边缘检测算法相结合,应用于图像边缘检测。通过结合两种算法的优点,使我们可以得到更清晰、更连续的图像边缘,并且轮廓更完整。
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