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We revisit the spherical Radon transform, also called the Funk-Radon transform, viewing it as an axisymmetric convolution on the sphere.
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J. D. McEwen, M. P. Hobson, A. N. Lasenby, and D. J. Mortlock, “A high-significance detection of non-Gaussianity in the WMAP 1-year data using directional spherical wavelets,” MNRAS , vol. 359, pp. 1583–1596, 2005
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A. W. Anderson, “Measurement of fiber orientation distributions using high angular resolution diffusion imaging,” Magnetic Resonance in Medicine , vol. 54, no. 5, pp. 1194–1206, 2005
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D. C. Alexander, “Multiple-fiber reconstruction algorithms for diffusion mri,” Annals of the New York Academy of Sciences , vol. 1064, no. 1, pp. 113–133, 2005
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F. J. Narcowich, P. Petrushev, and J. D. Ward, “Localized tight frames on spheres,” SIAM J. Math. Anal. , vol. 38, no. 2, pp. 574–594, 2006
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Cited alongside, same era.
J. L. Sanz, D. Herranz, M. López-Caniego, and F. Argüeso, “Wavelets on the sphere – application to the detection problem,” in EUSIPCO , Sept. 2006
2006
Cited alongside, same era.
J. D. McEwen, M. P. Hobson, and A. N. Lasenby, “A directional continuous wavelet transform on the sphere,” ArXiv , 2006
2006
Cited alongside, same era.
J.-L. Starck, Y. Moudden, P. Abrial, and M. Nguyen, “Wavelets, ridgelets and curvelets on the sphere,” A&A , vol. 446, pp. 1191–1204, Feb. 2006
2006
Cited alongside, same era.
——, “A high-significance detection of non-Gaussianity in the WMAP 3-year data using directional spherical wavelets,” MNRAS , vol. 371, pp. L50–L54, 2006
2006
F. J. Simons, I. Loris, G. Nolet, I. C. Daubechies, S. Voronin, J. S. Judd, P. A. Vetter, J. Charléty, and C. Vonesch, “Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity,” GJI , vol. 187, pp. 969–988, Nov. 2011
2011
Later among the works it cites.
F. J. Simons, I. Loris, E. Brevdo, and I. C. Daubechies, “Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion,” in SPIE Wavelets and Sparsity XIV , 2011
2011
Later among the works it cites.
A. K. Louis, M. Riplinger, M. Spiess, and E. Spodarev, “Inversion algorithms for the spherical radon and cosine transform,” Inverse Problems , vol. 27, no. 3, p. 035015, 2011
2011
Later among the works it cites.
J. D. McEwen and Y. Wiaux, “A novel sampling theorem on the sphere,” IEEE TSP , vol. 59, no. 12, pp. 5876–5887, 2011
2011
Later among the works it cites.
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Cited alongside, same era.
——, “Non-Gaussianity detections in the Bianchi VII h
2006
Cited alongside, same era.
C. P. Hess, P. Mukherjee, E. T. Han, D. Xu, and D. B. Vigneron, “Q-ball reconstruction of multimodal fiber orientations using the spherical harmonic basis,” Magnetic Resonance in Medicine , vol. 56, no. 1, pp. 104–117, 2006
2006
Cited alongside, same era.
J. D. McEwen, P. Vielva, M. P. Hobson, E. Martínez-González, and A. N. Lasenby, “Detection of the ISW effect and corresponding dark energy constraints made with directional spherical wavelets,” MNRAS , vol. 373, pp. 1211–1226, 2007
2007
Cited alongside, same era.
M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, “Regularized, fast, and robust analytical q-ball imaging,” Magnetic Resonance in Medicine , vol. 58, no. 3, pp. 497–510, 2007
2007
Cited alongside, same era.
J. D. McEwen and A. M. M. Scaife, “Simulating full-sky interferometric observations,” MNRAS , vol. 389, no. 3, pp. 1163–1178, 2008
2008
Cited alongside, same era.
D. Marinucci, D. Pietrobon, A. Balbi, P. Baldi, P. Cabella, G. Kerkyacharian, P. Natoli, D. Picard, and N. Vittorio, “Spherical needlets for cosmic microwave background data analysis,” MNRAS , vol. 383, pp. 539–545, 2008
2008
Cited alongside, same era.
Y. Wiaux, J. D. McEwen, P. Vandergheynst, and O. Blanc, “Exact reconstruction with directional wavelets on the sphere,” MNRAS , vol. 388, no. 2, pp. 770–788, 2008
2008
Cited alongside, same era.
B. Leistedt and J. D. McEwen, “Exact wavelets on the ball,” IEEE TSP , vol. 60, no. 12, pp. 6257–6269, 2012
2012
Later among the works it cites.
F. Lanusse, A. Rassat, and J.-L. Starck, “Spherical 3D isotropic wavelets,” A&A , vol. 540, p. A92, Apr. 2012
2012
Later among the works it cites.
B. Leistedt, J. D. McEwen, P. Vandergheynst, and Y. Wiaux, “S2LET: A code to perform fast wavelet analysis on the sphere,” A&A , vol. 558, no. A128, pp. 1–9, 2013
2013
Later among the works it cites.
J. D. McEwen, P. Vandergheynst, and Y. Wiaux, “On the computation of directional scale-discretized wavelet transforms on the sphere,” in SPIE Wavelets and Sparsity XV, invited contribution , vol. 8858, 2013
2013
Later among the works it cites.
J. D. McEwen and B. Leistedt, “Fourier-Laguerre transform, convolution and wavelets on the ball,” in SampTA, invited contribution , 2013, pp. 329–333
2013
Later among the works it cites.
R. Regnier, G. Rigaud, and M. Nguyen, “New approximated inversion of spherical radon transform in sar imaging,” in Image Processing (ICIP), 2013 20th IEEE International Conference on , Sept 2013, pp. 2398–2401
2013
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Planck Collaboration XII, “ Planck 2013
2014
Later among the works it cites.
Planck Collaboration XXIII, “ Planck
2014
Later among the works it cites.
Planck Collaboration XXV, “ Planck
2014
Later among the works it cites.
C. Durastanti, Y. Fantaye, F. Hansen, D. Marinucci, and I. Z. Pesenson, “Simple proposal for radial 3D needlets,” PRD , vol. 90, no. 10, p. 103532, Nov. 2014
2014
Later among the works it cites.
2015
Closest in time.
J. Y. H. Chan, B. Leistedt, T. D. Kitching, and J. D. McEwen, “Second-generation curvelets on the sphere,” IEEE TSP , vol. 65, no. 1, pp. 5–14, 2016
2016
Closest in time.
J. D. McEwen, C. Durastanti, and Y. Wiaux, “Localisation of directional scale-discretised wavelets on the sphere,” ACHA , vol. 44, no. 1, pp. 59–88, 2018
2018
Closest in time.