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20112021
most citedFast hyperbolic Radon transform represented as convolutions in log-polar coordinates

27 citations · 138 across the 24 of their papers we have counts for

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7 papers · 1 filter

math.NA2017

ESPRIT for multidimensional general grids

Fredrik Andersson, Marcus Carlsson

We present a new method for complex frequency estimation in several variables, extending the classical (1d) ESPRIT-algorithm. We also consider how to work with data sampled on non-…

math.NA2016★ 27 cited

Fast hyperbolic Radon transform represented as convolutions in log-polar coordinates

Viktor V. Nikitin, Fredrik Andersson, Marcus Carlsson +1

The hyperbolic Radon transform is a commonly used tool in seismic processing, for instance in seismic velocity analysis, data interpolation and for multiple removal. A direct imple…

math.NA2016

Fixed-point algorithms for frequency estimation and structured low rank approximation

Fredrik Andersson, Marcus Carlsson

We develop fixed-point algorithms for the approximation of structured matrices with rank penalties. In particular we use these fixed-point algorithms for making approximations by s…

math.NA2015★ 3 cited

Fast algorithms and efficient GPU implementations for the Radon transform and the back-projection operator represented as convolution operators

Fredrik Andersson, Marcus Carlsson, Viktor V. Nikitin

The Radon transform and its adjoint, the back-projection operator, can both be expressed as convolutions in log-polar coordinates. Hence, fast algorithms for the application of the…

math.NA2013★ 5 cited

Frequency estimation based on Hankel matrices and the alternating direction method of multipliers

Fredrik Andersson, Marcus Carlsson, Jean-Yves Tourneret +1

We develop a parametric high-resolution method for the estimation of the frequency nodes of linear combinations of complex exponentials with exponential damping. We use Kronecker's…

math.NA2011★ 5 cited

Alternating projections on non-tangential manifolds

Fredrik Andersson, Marcus Carlsson

We consider sequences of points obtained by projecting back and forth between two manifolds $\M_1$ and $\M_2$, and give conditions guaranteeing that the sequen…

math.NA2011★ 5 cited

A fast alternating projection method for complex frequency estimation

Fredrik Andersson, Marcus Carlsson, Per-Anders Ivert

The problem of approximating a sampled function using sums of a fixed number of complex exponentials is considered. We use alternating projections between fixed rank matrices and H…