Ridgelet是继小波变换(Wavelet)后提出的一种新型的多尺度分析方法,它特别适合于具有直线或超平面奇异性的二维信号的描述,而且具有较高的逼近精度。利用脊波变换的方法,设计了一种基于脊波变换的改进的图像去噪算法,该算法采用指数型阈值函数,利用SureShrink自适应阚值。试验结果表明,该方法比起Wavelet全局硬、软阈值,Ridgelet全局硬、软闻值,具有明显的优越性。
The ridgelet transform is a new kind of multiscale analysis technique presented after the wavelet transform. It is especially suitable for describing the two-dimensional signals, which have linear or super-plane singularities, and has much better approximation. In this paper, the ridgelet transform is used to design an improved algorithm for image denoising based on that transform. The exponential threshold function and the adaptive SureShrink threshold value are applied into this method. The experimental results indicate that this improved algorithm has evident advantages in global hard and soft threshold values than the algorithms based on the Wavelet and ridgelet transform.