# [PDF] Top 20 Gaussian geometry and tools for compressed sensing

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### Gaussian geometry and tools for compressed sensing

... works, [ HTF09 , BvdG11 ] **for** a review **and** references therein. More precisely, some of the most popular estimators in high-dimensional statistics remain the lasso [ Tib96 ] **and** the Dantzig selec- tor ... Voir le document complet

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### A Compressed Sensing Framework for Biological Microscopy

... suited **for** piece- wise smooth images, such as Non-Local Means (NL-means) [ Buades 2005 ], Total Variation Filtering (TV) [ Rudin 1992 ], non-linear isotropic **and** anisotropic diﬀu- sion [ Weickert 1998 ... Voir le document complet

209

### Compressed sensing for the extraction of atrial fibrillation patterns from surface electrocardiograms

... processing **tools** **for** non invasive AA signal extraction are 1) average beat subtraction (ABS) technique [3], **and** 2) blind source separation (BSS) [4], ...ABS **and** BSS. We intend to extract the ... Voir le document complet

6

### Multichannel Compressed Sensing and its Application in Radioastronomy

... estimator **for** **Gaussian** ...as **for** an ordered absolute wavelet coefficient set of the j-th source |α j |, the current threshold is selected as the p ... Voir le document complet

203

### Operational Rate-Distortion Performance of Single-source and Distributed Compressed Sensing

... single–source **and** distributed CS scheme, under the constraint of high–rate quantization, providing sim- ulation results that perfectly match the theoretical ...rate **and** in the number of measurements) ... Voir le document complet

12

### Near-optimal Binary Compressed Sensing Matrix

... like **Gaussian** or Bernoulli processes [2] [3], guarantee successful signal recovery with high ...deterministic **sensing** matrices of both favorable performance **and** feasible ...deterministic ... Voir le document complet

25

### A Compressed Sensing Approach to 3D Weak Lensing

... 3. **Compressed** **Sensing** Approach Linear methods are easy to use, **and** the variance of each estimator is rather direct to ...common **tools** with efficient ...ful, **and** including ... Voir le document complet

18

### Block-constrained compressed sensing

... including **Gaussian** measurements, isolated measurements or blocks in time-frequency bases, that the main result is sharp in the sense that the minimum amount of blocks necessary to reconstruct sparse signals cannot ... Voir le document complet

176

### Exact Performance Analysis of the Oracle Receiver for Compressed Sensing Reconstruction

... Here **and** in the following sections, signal length is N = 512 with sparsity K = ...The **sensing** matrix is composed by ...zero–mean **Gaussian** with variance 1/M . The noise vector is **Gaussian** with ... Voir le document complet

6

### Spherical Polar Fourier EAP and ODF Reconstruction via Compressed Sensing in Diffusion MRI

... nates, the basis matrix can be computed offline. We solve the problem by means of a Fast Iterative Shrinkage-Thresholding Algorithm (FISTA) [23], an iterative algorithm where each it- eration involves a shrinkage step. ... Voir le document complet

8

### Shearlet Transform: a Good Candidate for Compressed Sensing in Optical Coherence Tomography

... Shannon **and** Nyquist’s theorem verifies that under uniform sampling, it is necessary to acquire data at a frequency twice the ...Candès **and** Romberg [5], ...sparse **and** a basis Φ in which the sampling ... Voir le document complet

5

### Compressed Sensing and Best Approximation from Unions of Subspaces: Beyond Dictionaries

... Index Terms— Instance optimality, null space property, restricted isometry property, union-of-subspaces 1. INTRODUCTION Traditional results in sparse recovery relate certain properties of a dimensionality-reducing matrix ... Voir le document complet

6

### High spatiotemporal cineMRI films using compressed sensing for acquiring articulatory data

... tip **and** lip elongations, that disturb the articulator contours estimation from these ...with **compressed** **sensing** [4] **and** with homodyne reconstruction ...techniques **for** MRI to be used in ... Voir le document complet

6

### Sampling by blocks of measurements in compressed sensing

... 1(b) **for** block-structured sampling), instead of isolated measure- ments (see ...1(a)). **For** instance, in medical echography, images are sampled along lines in the space domain, while, in magnetic resonance ... Voir le document complet

5

### Multiarray Signal Processing: Tensor decomposition meets compressed sensing

... construction **and** lim n →∞ A n = A, the rank-3 tensor A has no best rank-2 ...orders, **and** ranks; happens regardless of the choice of norm (or even Br`egman divergence) ...probability **and** in some cases ... Voir le document complet

11

### A satellite imaging chain based on the Compressed Sensing technique

... capacity **and** therefore more powerful electrical ...pixels **and** then **compressed** by some coding algorithms, like the JPEG ...image **for**, finally, retaining only K coefficients may appear to be ... Voir le document complet

9

### Parsimonious Gaussian Process Models for the Classification of Multivariate Remote Sensing Images

... 103) **and** is 610 ×340 pixels, see Figure ...photo-interpret **for** a total of 42776 referenced pixels, see Table 2.(a). 50 pixels **for** each class have been randomly selected from the samples **for** ... Voir le document complet

5

### Analysis vs Synthesis-based Regularization for combined Compressed Sensing and Parallel MRI Reconstruction at 7 Tesla

... trajectories **and** various under-sampling factors are presented in Section ...WT **and** fast curvelets) **for** combined CS-PI MR image ...(pSNR) **and** structural similarity (SSIM) metrics across all ... Voir le document complet

6

### Parsimonious Gaussian process models for the classification of hyperspectral remote sensing images

... parsimonious **Gaussian** process models is reviewed **and** 5 additional models are proposed to provide more flexibility to the classifier in the context of hyperspectral image ...a **Gaussian** mixture model ... Voir le document complet

6

### Optimal selection of diffusion-weighting gradient waveforms using compressed sensing and dictionary learning

... • Diﬀusion MRI measures the movement of water molecules **and** gives information about white matter microstructure. • The acquisition sequences rely on magnetic ﬁeld gradients. • While pulsed gradient waveforms are ... Voir le document complet

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