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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Covariant Riesz transform on differential forms for $p\in (1,2]$
$pin (1,2]$ 微分形式 协变里斯变换
2023/4/28
西安电子科技大学数字信号处理英文课件Chapter5 The Discrete Fourier Transform
西安电子科技大学 数字信号处理 英文课件 Chapter5 Discrete Fourier Transform
2020/6/22
西安电子科技大学数字信号处理英文课件Chapter5 The Discrete Fourier Transform。
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&...
Fast Slant Stack: A notion of Radon Transform for Data in a Cartesian Grid which is Rapidly Computible, Algebraically Exact, Geometrically Faithful and Invertible
Radon Transform Projection-slice theorem Sinc-Interpolation,
2015/8/21
We define a notion of Radon Transform for data in an n by n grid. It is based on summation
along lines of absolute slope less than 1 (as a function either of x or of y), with values at non-Cart...
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...
SPARSE FOURIER TRANSFORM VIA BUTTERFLY ALGORITHM
Fourier transform butterfly algorithm multiscale methods far field pattern
2015/7/14
This paper introduces a fast algorithm for computing sparse Fourier transforms with spatial and Fourier data supported on curves or surfaces. This problem appears naturally in several important applic...
Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition
wave packet transform synchrosqueezing clustering local wavevector phase space representation empirical mode decomposition
2015/7/14
This paper introduces the synchrosqueezed wave packet transform as a method for analyzing twodimensional images. This transform is a combination of wave packet transforms of a certain geometric scalin...
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 ∈ [...
Power Tensor Theory and Continuous Wavelet Transform
Wavelets Tensor Electrical Power Power Electronic Power Quality
2013/1/30
A model for the definition of electrical Power is presented, which retrieves the concepts of homomorphism from the geometrical tensor approximation at the wavelet approach. Their definition here is ne...