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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&...
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...
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...
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...
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 ...
Continuous Curvelet Transform:I. Resolution of the Wavefront Set
Wavelets Curvelets Wave Packets Directional Wavelets Analysis of Singularities Singular Support Wavefront Set Parabolic Scaling
2015/6/17
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 ∈ [...