208 citations · 2.3k across the 64 of their papers we have counts for
8 papers · 1 filter
Second-Generation Curvelets on the Sphere
Jennifer Y. H. Chan, Boris Leistedt, Thomas D. Kitching +1
Curvelets are efficient to represent highly anisotropic signal content, such as a local linear and curvilinear structure. First-generation curvelets on the sphere, however, suffere…
Directional spin wavelets on the sphere
Jason D. McEwen, Boris Leistedt, Martin Büttner +2
We construct a directional spin wavelet framework on the sphere by generalising the scalar scale-discretised wavelet transform to signals of arbitrary spin. The resulting framework…
A novel sampling theorem on the rotation group
J. D. McEwen, M. Büttner, B. Leistedt +2
We develop a novel sampling theorem for functions defined on the three-dimensional rotation group SO(3) by connecting the rotation group to the three-torus through a periodic exten…
Flaglets for studying the large-scale structure of the Universe
Boris Leistedt, Hiranya V. Peiris, Jason D. McEwen
Pressing questions in cosmology such as the nature of dark matter and dark energy can be addressed using large galaxy surveys, which measure the positions, properties and redshifts…
Fourier-Laguerre transform, convolution and wavelets on the ball
J. D. McEwen, B. Leistedt
We review the Fourier-Laguerre transform, an alternative harmonic analysis on the three-dimensional ball to the usual Fourier-Bessel transform. The Fourier-Laguerre transform exhib…
Flaglets: Exact Wavelets on the Ball
Boris Leistedt, Jason D. McEwen
We summarise the construction of exact axisymmetric scale-discretised wavelets on the sphere and on the ball. The wavelet transform on the ball relies on a novel 3D harmonic transf…
S2LET: A code to perform fast wavelet analysis on the sphere
B. Leistedt, J. D. McEwen, P. Vandergheynst +1
We describe S2LET, a fast and robust implementation of the scale-discretised wavelet transform on the sphere. Wavelets are constructed through a tiling of the harmonic line and can…
Exact Wavelets on the Ball
B. Leistedt, J. D. McEwen
We develop an exact wavelet transform on the three-dimensional ball (i.e. on the solid sphere), which we name the flaglet transform. For this purpose we first construct an exact tr…