Detecting Edges from Non-uniform Fourier Data Using Fourier Frames
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-016-0320-8
Abstract: Edge detection plays an important role in identifying regions of interest in an underlying signal or image. In some applications, such as magnetic resonance imaging (MRI) or synthetic aperture radar (SAR), data are sampled in… read more here.
Keywords: uniform fourier; fourier data; non uniform; detecting edges ... See more keywords
A Domain Decomposition Fourier Continuation Method for Enhanced $$L_1$$L1 Regularization Using Sparsity of Edges in Reconstructing Fourier Data
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-017-0467-y
Abstract: Abstract$$L_1$$L1 regularization is widely used in various applications for sparsifying transform. In Wasserman et al. (J Sci Comput 65(2):533–552, 2015) the reconstruction of Fourier data with $$L_1$$L1 minimization using sparsity of edges was proposed—the sparse… read more here.
Keywords: fourier data; domain decomposition; method; regularization ... See more keywords