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基于改进Curvelet变换的地震数据重建方法
压缩感知 地震数据重建 Curvelet变换 指数阈值
2018/12/25
由于采集环境及仪器性能的限制，采集到的地震勘探数据经常是不规则和不完整的，进而影响到地震数据后续处理及反演，因此在对地震数据进行下一步分析处理前有必要先重建出完整的地震数据，提出了一种基于改进的Curvelet域的地震数据压缩重建算法。首先在压缩感知理论的框架下，利用Curvelet的稀疏特性，建立缺失地震数据重建模型;然后在CRSI(Curvelet Recovery by Sparsity-P...
针对小波难以表达煤岩图像的边缘曲线特征，影响识别精度的问题，提出一种基于曲波变换的方法，对煤岩图像边缘进行稀疏表示。该方法通过曲波变换对煤岩图像进行曲波分解，得到各尺度层曲波系数,保留图像变换后的Coarse层低频系数，基于压缩感知理论，利用随机高斯矩阵对高频系数进行测量，实现高维系数降维，Coarse层低频系数与降维后的高频系数通过级联构成煤岩图像特征向量，最后结合支持向量机对煤岩图像进行分类识...
Research and Application of Image Denoising Method Based on Curvelet Transform
IMAGE DENOISING CURVELET SAR APPLICATION
2015/12/2
The images usually bring different kinds of noises in process of receiving, coding and transmission. The curvelet transform is one kind of new multi-scale transform after 1999 that is based on wavelet...
Digital Curvelet Transform: Strategy, Implementation and Experiments
Curvelets, Ridgelets Digital Ridgelet Transform
2015/8/21
In this paper, we consider the problem of realizing this transform for digital data.
We describe a strategy for computing a digital curvelet transform, we describe a
software environment, Curvelet25...
Continuous Curvelet Transform: I. Resolution of the Wavefront Set
Wavelets Curvelets Wave Packets Directional Wavelets
2015/8/21
We discuss a Continuous Curvelet Transform (CCT), a transform f → Γf(a, b, θ) of
functions f(x1, x2) on R2, into a transform domain with continuous scale a > 0, location
b ∈ R2, and orientation θ ∈...
Continuous Curvelet Transform: II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator
2015/8/21
We develop a unifying perspective on several decompositions exhibiting directional parabolic
scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales,
with e&...
Recovering Edges in Ill-Posed Inverse Problems: Optimality of Curvelet Frames
Ill-Posed Inverse Problems Regularization
2015/8/21
We consider a model problem of recovering a function f(x1; x2) from noisy Radon
data. The function f to be recovered is assumed smooth apart from a discontinuity
along a C2 curve { i.e. an edge. We ...
3D Discrete Curvelet Transform
Curvelet transform Parabolic scaling High-dimensional singularities Partition of unity Fast Fourier transform Out-of-core algorithm Parallel algorithm Wrapping
2015/7/15
In this paper, we present the first 3D discrete curvelet transform. This transform is an extension to the 2D transform described in Cand`es et al..1 The resulting curvelet frame preserves the importan...
FAST DISCRETE CURVELET TRANSFORMS
two-dimensional and three-dimensional curvelet transforms fast Fourier transforms unequally spaced fast Fourier transforms smooth partitioning interpolation digital shear filtering wrapping
2015/7/14
This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform in two and three dimensions. The first digital transformation is base...
SYNCHROSQUEEZED CURVELET TRANSFORM FOR TWO-DIMENSIONAL MODE DECOMPOSITION
curvelet transform synchrosqueezing banded wave-like components local wavevector phase space representation
2015/7/14
This paper introduces the synchrosqueezed curvelet transform as an optimal tool for two-dimensional mode decomposition of wavefronts or banded wave-like components. The synchrosqueezed curvelet transf...
Recovering Edges in Ill-Posed Inverse Problems:Optimality of Curvelet Frames
Ill-Posed Inverse Problems Regularization Singular Value Decomposition Radon Transform Deconvolution Edge Edge-Preserving Regularization Wavelets Curvelets Ridgelets Wavelet-Vaguelette-Decomposition Wavelet Shrinkage Minimax Estimation Optimal Rates of Convergence White Noise Model
2015/6/17
We consider a model problem of recovering a function f(x1, x2) from noisy Radon data. The function f to be recovered is assumed smooth apart from a discontinuity along a C2 curve – i.e. an edge. We us...
The Curvelet Transform for Image Denoising
Radon Transform Wavelets Ridgelets Curvelets FFT FWT Discrete Wavelet Transform Thresholding Rules Filtering
2015/6/17
We describe approximate digital implementations of two new mathematical transforms, namely, the ridgelet transform [3] and the curvelet transform [7, 6]. Our implementations offer exact reconstruction...
Gray and Color Image Contrast Enhancement by the Curvelet Transform
Contrast enhancement curvelets ridgelets wavelets
2015/6/17
We present in this paper a new method for contrast enhancement based on the curvelet transform. The curvelet transform represents edges better than wavelets, and is therefore well-suited for multiscal...
Astronomical Image Representation by the Curvelet Transform
methods Data Analysis-techniques Image Processing
2015/6/17
We outline digital implementations of two newly developed multiscale representation systems, namely, the ridgelet and curvelet transforms. We apply these digital transforms to the problem of restoring...
Continuous Curvelet Transform:II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator Tight Frame
2015/6/17
We develop a unifying perspective on several decompositions exhibiting directional parabolic scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales, with effective ...