基于有限Ridgelet变换的图像去噪

Ridgelet变换是一种新的图像多尺度几何分析（MGA）方法,它能有效地对图像进行多尺度,多方向的描述。M．N．Do提出一种可逆的,正交化的,极好重建性的Ridgelet变换实现一有限Ridgelet变换（FRIT）。本文将有限Ridgelet变换应用到线状边界明显的图像去噪中,实验结果表明,它比小波去噪取得更好的效果。     

Ridgelet变换及其在图象降噪中的应用

1999年,Stanford大学的E.J.Candes和D.L.Donoho教授提出了信号的一种新的多尺度表示法—Ridgelet变换,它特别适合于具有直线或超平面奇性的二维信号的描述,而且具有较高的逼近精度。随后,M.N.Do和M.Vetterli针对特定大小的离散图象给出了正交有限Ridgelet变换-FiniteRidgeletTransform(FRIT)。该文将FRIT应用于图象降噪,为了说明FRIT的优越性,将Wavelet领域中的多种降噪方法扩展应用到Ridgelet领域。试验结果表明,FRIT比起Wavelet变换更适合描述具有直线边界的图象,而且降噪效果更为明显。     

基于Finite Ridgelet变换的去噪算法研究

该文对Ridgelet变换以及FRIT(FiniteRidgeletTransform)变换作了介绍,并在此基础上提出了基于FRIT变换的平移不变去噪算法。实验证明该算法能有效地去除图像的高斯噪声,同时能很好地保留图像的细节信息。     

基于FRIT循环抽样声纳图像去噪新方法

声纳图像背景复杂,对比度差,边缘恶化,不易判读图像边缘。对声纳图像执行小波变换能够有效去除噪声,但是由于小波的局限性,其对图像边缘的保持效果不佳。有限Ridgelet变换(FRIT)能够有效克服小波变换在处理高维信号时的不足,是一种有效处理二维奇异性信号的新方法。将FRIT处理技术应用在水下声纳图像去噪技术中,基于该方法提出循环抽样FRIT去噪算法,提高了处理结果的信噪比及边缘保持效果。在实验数据比较中,此改进算法优于其它经典方法。     

Ridgelet变换在图像边缘提取中的应用

本文介绍了Ridgelet变换理论,利用Ridgelet变换的多方向性,提出一种基于正交有限Ridgelet变换的图像边缘提取方法,并将本文方法与传统的边缘提取方法进行了比较。实验表明,有限脊波变换有更好的边缘提取效果。     

脊波变换及其在图像处理中的应用

Ridgelet是继小波变换(Wavelet)后提出的一种新型的多尺度分析方法。对于图像中的直线状和超平面的奇异性问题,Ridgelet变换体现了比Wavelet变换更好的处理效果。文中给出了Ridgelet变换的概念及其实现算法,将Ridgelet应用于图像去噪,并和小波去噪加以比较说明其优越性。     

有限脊波变换环绕现象改进算法及其在版权保护中的应用

Finite Ridgelet Transform(FRIT)能高效表示线的奇异特征,在多种领域广泛应用。但是由于它的"环绕"现象,影响了在图像处理中的应用。揭示了"环绕"现象和Finite Radon Transform(FRAT)域系数的关系,根据像素的空间相关性,以及对FRAT系数进行软门限阈值处理,提出一种改进算法,能够去除"环绕"现象。依据最大后验概率(MAP)准则选择大能量的改进有限脊波变换(Modified Finite Ridgelet Transform-MFRIT)系数,版权信息嵌入其中。实验结果表明,该算法具有更好的鲁棒性和透明性。     

脊波变换及其在图像处理中的应用

Ridgelet是继小波变换（Wavelet）后提出的一种新型的多尺度分析方法。对于图像中的直线状和超平面的奇异性问题，Ridgelet变换体现了比Wavelet变换更好的处理效果。文中给出了Ridgelet变换的概念及其实现算法，将Ridgelet应用于图像去噪，并和小波去噪加以比较说明其优越性。     

Energy-based adaptive orthogonal FRIT and its application in image denoising

Efficient representation of linear singularities is discussed in this paper. We analyzed the relationship between the “wrap around” effect and the distribution of FRAT (Finite Radon Transform) coefficients first, and then based on study of some properties of the columnwisely FRAT reconstruction procedure, we proposed an energy-based adaptive orthogonal FRIT scheme (EFRIT). Experiments using nonlinear approximation show its superiority in energy concentration over both Discrete Wavelet Transform (DWT) and Finite Ridgelet Transform (FRIT). Furthermore, we have modeled the denoising problem and proposed a novel threshold selecting method. Experiments carried out on images containing strong linear singularities and texture components with varying levels of addictive white Gaussian noise show that our method achieves prominent improvement in terms of both SNR and visual quality as compared with that of DWT and FRIT.     

基于Ridgelet变换的多尺度去噪算法研究

给出了Ridgelet变换的理论,并提出了一种基于尺度因子与Ridgelet变换的图像去噪算法,将Ridgelet应用于图像去噪并与小波去噪进行比较。实验结果表明,该算法对高斯白噪声污染的图像去噪具有较好的效果,不仅可以提高处理图像的信噪比,而且图像的视觉效果有明显改善。     

A 4-quadrant curvelet transform for denoising digital images

The conventional discrete wavelet transform (DWT) introduces artifacts during denoising of images containing smooth curves. Finite ridgelet transform (FRIT) solved this problem by mapping the curves in terms of small curved ridges. However, blind application of FRIT all over an image is computationally heavy. Finite curvelet transform (FCT) selectively applies FRIT only to the tiles containing small portions of a curve. In this work, a novel curvelet transform named as 4-quadrant finite curvelet transform (4QFCT) based on a new concept of 4-quadrant finite ridgelet transform (4QFRIT) has been proposed. An image is band pass filtered and the high frequency bands are divided into small non-overlapping square tiles. The 4QFRIT is applied to the tiles containing at least one curve element. Unlike FRIT, the 4QFRIT takes 4 sets of radon projections in all the 4 quadrants and then averages them in time and frequency domains after denoising. The proposed algorithm is extensively tested and benchmarked for denoising of images with Gaussian noise using mean squared error (MSE) and peak signal to noise ratio (PSNR). The results confirm that 4QFCT yields consistently better denoising performance quantitatively and visually.     

An efficient VLSI architecture and FPGA implementation of the Finite Ridgelet Transform

In this paper, an efficient architecture for the Finite Ridgelet Transform (FRIT) suitable for VLSI implementation based on a parallel, systolic Finite Radon Transform (FRAT) and a Haar Discrete Wavelet Transform (DWT) sub-block, respectively is presented. The FRAT sub-block is a novel parametrisable, scalable and high performance core with a time complexity of O(p ²), where p is the block size. Field Programmable Gate Array (FPGA) and Application Specific Integrated Circuit (ASIC) implementations are carried out to analyse the performance of the FRIT core developed.

改进的Ridgelet变换图像去噪方法

提出了基于平移不变的ridgelet去噪方法,与平移不变小波去噪相比较,试验结果表明平移不变的ridgelet算法在消除和抑制噪声的同时能更好地保留图像边缘特征,并且显著改善了峰值信噪比。