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We develop techniques to solve ill-posed inverse problems on the sphere by sparse regularisation, exploiting sparsity in both axisymmetric and directional scale-discretised wavelet space.
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Z. Khalid, R. A. Kennedy, and J. D. McEwen, “An optimal-dimensionality sampling scheme on the sphere with fast spherical harmonic transforms,” IEEE Trans. Sig. Proc. , vol. 62, no. 17, pp. 4597–4610, 2014
2014
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J. D. McEwen, B. Leistedt, M. Büttner, H. V. Peiris, and Y. Wiaux, “Directional spin wavelets on the sphere,” IEEE Trans. Sig. Proc., submitted , 2015
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J. D. McEwen, “Ridgelet transform on the sphere,” IEEE Trans. Sig. Proc., submitted , 2015
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J. Y. H. Chan, B. Leistedt, T. D. Kitching, and J. D. McEwen, “Second-generation curvelets on the sphere,” IEEE Trans. Sig. Proc., submitted , 2015
2015
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