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We develop a novel sampling theorem on the sphere and corresponding fast algorithms by associating the sphere with the torus through a periodic extension.
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1999
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D. W. Ritchie and G. J. L. Kemp, “Fast computation, rotation and comparison of low resolution spherical harmonic molecular surfaces,” J. Comput. Chem. , vol. 20, no. 4, pp. 383–395, 1999
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1999
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P. J. Kostelec, D. K. Maslen, D. M. Healy, and D. N. Rockmore, “Computational harmonic analysis for tensor fields on the two-sphere,” J. Comput. Phys. , vol. 162, no. 2, pp. 514–535, 2000
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E. J. Canales-Rodríguez, L. Melie-García, and Y. Iturria-Medina, “Mathematical description of q-space in spherical coordinates: Exact q-ball imaging,” Magn. Reson. Med. , vol. 61, no. 6, pp. 1350–1367, 2009
2009
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P. Audet, “Directional wavelet analysis on the sphere: application to gravity and topography of the terrestrial planets,” J. Geophysical Research, in press , 2010
2010
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N. Jarosik, C. L. Bennett, J. Dunkley, B. Gold, M. R. Greason, M. Halpern, R. S. Hill, G. Hinshaw, A. Kogut, E. Komatsu, D. Larson, M. Limon, S. S. Meyer, M. R. Nolta, N. Odegard, L. Page, K. M. Smith, D. N. Spergel, G. S. Tucker, J. L. Weiland, E. Wollack, and E. L. Wright, “Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: sky maps, systematic errors, and basic results,” Astrophys. J. , submitted, 2010
2010
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E. Komatsu, K. M. Smith, J. Dunkley, C. L. Bennett, B. Gold, G. Hinshaw, N. Jarosik, D. Larson, M. R. Nolta, L. Page, D. N. Spergel, M. Halpern, R. S. Hill, A. Kogut, M. Limon, S. S. Meyer, N. Odegard, G. S. Tucker, J. L. Weiland, E. Wollack, and E. L. Wright, “Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation,” Astrophys. J. , submitted, 2010
2010
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K. M. Huffenberger and B. D. Wandelt, “Fast and exact spin-s spherical harmonic transforms,” Astrophys. J. Supp. , vol. 189, pp. 255–260, 2010
2010
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2010
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J. D. McEwen, “Fast, exact (but unstable) spin spherical harmonic transforms,” All Res. J. Phys. , vol. 1, no. 1, 2011
2011
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A. Daducci, J. D. McEwen, D. V. D. Ville, J.-P. Thiran, and Y. Wiaux, “Harmonic analysis of spherical sampling in diffusion MRI,” in 19th Annual Meeting of International Society for Magnetic Resonance in Medicine , 2011
2011
Closest in time.