1 code implementation • 13 Aug 2015 • J. D. McEwen, M. Büttner, B. Leistedt, H. V. Peiris, Y. Wiaux
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 extension.
Information Theory Instrumentation and Methods for Astrophysics Information Theory
1 code implementation • 7 Nov 2012 • B. Leistedt, J. D. McEwen, P. Vandergheynst, Y. Wiaux
Wavelets are constructed through a tiling of the harmonic line and can be used to probe spatially localised, scale-depended features of signals on the sphere.
Information Theory Instrumentation and Methods for Astrophysics Information Theory
1 code implementation • 4 May 2012 • J. D. McEwen, G. Puy, J. -Ph. Thiran, P. Vandergheynst, D. Van De Ville, Y. Wiaux
Recently a new sampling theorem on the sphere was developed, reducing the required number of samples by a factor of two for equiangular sampling schemes.
Information Theory Instrumentation and Methods for Astrophysics Information Theory
5 code implementations • 28 Oct 2011 • J. D. McEwen, Y. Wiaux
To represent exactly a signal on the sphere band-limited at L, all sampling theorems on the sphere require O(L^2) samples.
Information Theory Instrumentation and Methods for Astrophysics Information Theory
