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On Asymptotic Incoherence and its Implications forCompressed Sensing…
www.damtp.cam.ac.uk/research/afha/anders/1DCoherence_6.pdf24 Jun 2014: µ(QNU2) f2(N), N N,. 7. 20 15 10 5 0 5 10 15 20. ... Figure 2: Here are two (20 20 centrally truncated) wavelet-Fourier Incoherence matrices (brighter means larger absolute value)and their corresponding column maxima. -
On stable reconstructions from univariate nonuniform Fourier…
www.damtp.cam.ac.uk/research/afha/anders/1DNonuniformSamplingArxiv.pdf12 Jan 2014: Finally, we remark that it is common in nonuniform sampling theory to assume that the sam-pling frequencies give rise to a Fourier frame [10, 11, 12, 20]. -
Weighted frames of exponentials and stable recovery of…
www.damtp.cam.ac.uk/research/afha/anders/2DNonuniformSamplingArXiv13May14.pdf31 May 2014: 8, 37],(ii) polar sampling scheme used in computed tomography [20], (iii) spiral and (iv) interleaving spiralused in MRI [16]. -
The quest for optimal sampling:Computationally efficient,…
www.damtp.cam.ac.uk/research/afha/anders/Book_chapter19.pdf26 Mar 2014: See [5, 8, 13, 20, 22, 23, 29, 30, 41, 48, 51, 46] and. ... image representation. IEEE Trans. Image Proc., 14(12):2091–2106, 2005.20. D. L. Donoho. -
Linear Stable Sampling Rate: Optimality of 2D WaveletReconstructions…
www.damtp.cam.ac.uk/research/afha/anders/SamplingRate_20140228.pdf8 Mar 2014: At this stage we note that other higher dimensional concepts, such as curvelets and shearlets, can providebetter approximations rates for cartoon-like-images; a specific class of functions ([10], [20]). -
On asymptotic structure in compressed sensingBogdan Roman ∗, Ben ...
www.damtp.cam.ac.uk/research/afha/bogdan/Asymptotic_10a.pdf19 Jun 2014: Compressive Imaging (CI), U = ΨHadΦdwt 256256 @ 12.5%. MRI, U = ΨdftΦdwt 10241024 @ 20%. ... S1: Best for 256x256. S2: Best for 2048x2048. 6.73%7.30%. 21.3%20.5%. Recovery error. -
On Asymptotic Incoherence and its Implications forCompressed Sensing…
www.damtp.cam.ac.uk/research/afha/people/alexj/1DCoherence_6.pdf21 Feb 2014: µ(QNU2) f2(N), N N,. 7. 20 15 10 5 0 5 10 15 20. ... Figure 2: Here are two (20 20 centrally truncated) wavelet-Fourier Incoherence matrices (brighter means larger absolute value)and their corresponding column maxima. -
Matrix Suprema & Compressed Sensing Alex Jones Collaborative Work …
www.damtp.cam.ac.uk/research/afha/people/alexj/CAKE_Talk_May_2014.pdf26 May 2014: even though the bestorderings are not. 20 15 10 5 0 5 10 15 20. ... a) r = 1 (Linear) ;Isosurface value=10. (b) r = 2(Semi-Hyperbolic) ;Isosurface value=20. -
Analyzing the Structure of Multidimensional CompressedSensing…
www.damtp.cam.ac.uk/research/afha/people/alexj/dDCoherence9.pdf10 Jun 2014: Fourier Frequency. Wav. elet. Bas. is. 20 15 10 5 0 5 10 15 20. ... 20 15 10 5 0 5 10 15 200. 0.1. 0.2. -
On Asymptotic Incoherence and its Implications forCompressed Sensing…
www.damtp.cam.ac.uk/research/afha/people/anders/1DCoherence_6.pdf24 Jun 2014: µ(QNU2) f2(N), N N,. 7. 20 15 10 5 0 5 10 15 20. ... Figure 2: Here are two (20 20 centrally truncated) wavelet-Fourier Incoherence matrices (brighter means larger absolute value)and their corresponding column maxima.
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