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Generalized Sampling: Extension to Frames and Inverse andIll-Posed…
www.damtp.cam.ac.uk/research/afha/anders/manuscript_BenAndersEvelynGerd_final.pdf5 Oct 2013: Figure 3: The figure shows the errors fd fd,m (left), fd f̃d,n,m (middle) and fd fd,k,m (right) form = 501, n = 45, k = 150. ... The assertion about K2m,r follows. 4.3 Numerical ExamplesIn this section we will test the frameworks proposed in the -
Linear Stable Sampling Rate: Optimality of 2D WaveletReconstructions…
www.damtp.cam.ac.uk/research/afha/people/anders/SamplingRate_20140228.pdf8 Mar 2014: many elements, which is asymptotically of order 22J.We test Haar wavelets and 2D Daubechies-4 wavelets. ... Middle right: 8 times zoomed-in version of the upper figure. Lower right:error committed by generalized sampling. -
On optimal wavelet reconstructions from Fourier samples: linearity…
www.damtp.cam.ac.uk/research/afha/people/anders/OptimalWaveletRecons_July2013.pdf5 Oct 2013: 0.45. 0.5. 0.55. Figure 1: The top row shows f (left), fM (middle) and f[N,M] (right). ... The bottom row shows f (left),. fM (middle) and f[N,M] (right) on the interval [0.58, 0.68]. -
Generalized sampling and infinite-dimensionalcompressed sensing Ben…
www.damtp.cam.ac.uk/research/afha/anders/BAACHGSCS_Rev10.pdf21 Jan 2016: To test whether this is the case or not, we consider an example with 2N = 256 and m = 130, i.e. ... First, we test the truncated Fourier series fN defined in (2.4). -
Generalized sampling and infinite-dimensionalcompressed sensing Ben…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_02.pdf2 Nov 2011: To test (2.3), let us consider the case where 2N = 256 and m = 130 – i.e. ... First, we test the truncatedFourier series fN defined in (4.8). Due to the fact that f is not periodic we cannot expect rapid convergenceof fN to f. -
Inverse ProblemsLecture notes, Michaelmas term 2019 University of…
www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_2019/LectureNotes2019.pdf1 May 2020: Inverse ProblemsLecture notes, Michaelmas term 2019. University of Cambridge. Hanne Kekkonen and Yury Korolev. May 1, 2020. This work is licensed under a Creative Commons“Attribution-ShareAlike 3.0 Unported” license. 2. Contents. 1 Introduction -
Weighted frames of exponentials and stable recovery of…
www.damtp.cam.ac.uk/research/afha/anders/2DNonuniformSamplingArXiv13May14.pdf31 May 2014: Weighted frames of exponentials and stable recovery of. multidimensional functions from nonuniform Fourier samples. Ben Adcock Milana Gataric† Anders C. Hansen ‡. May 13, 2014. Abstract. In this paper, we consider the problem of recovering a -
Weighted frames of exponentials and stable recovery of…
www.damtp.cam.ac.uk/research/afha/people/anders/2DNonuniformSamplingArXiv13May14.pdf31 May 2014: Weighted frames of exponentials and stable recovery of. multidimensional functions from nonuniform Fourier samples. Ben Adcock Milana Gataric† Anders C. Hansen ‡. May 13, 2014. Abstract. In this paper, we consider the problem of recovering a -
Inverse Problems Matthias J. Ehrhardt and Lukas F. Lang ...
www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_Lent_2018/lecture_notes_20180313.pdf16 Jul 2019: Inverse Problems. Matthias J. Ehrhardt and Lukas F. Lang. Last updated on: March 13, 2018. Lecture NotesLent Term 2017/2018. This work is licensed under a Creative Commons “Attribution-NonCommercial-ShareAlike 3.0 Unported” license. 2. Contents. -
Inverse Problems in Imaging Yury Korolev Last updated on: ...
www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_Michaelmas_2018/lecture_notes_current.pdf16 Jul 2019: Inverse Problems in Imaging. Yury Korolev. Last updated on: November 27, 2018. Lecture NotesMichelmas Term 2018/2019. This work is licensed under a Creative Commons “Attribution-NonCommercial-ShareAlike 3.0 Unported” license. 2. Contents. 1
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