Fetching the paper…
Reading the bibliography…
We construct a directional spin wavelet framework on the sphere by generalising the scalar scale-discretised wavelet transform to signals of arbitrary spin.
Newman, E. T., Penrose, R., 1966. Note on the Bondi-Metzner-Sachs group. J. Math. Phys. 7 (5), 863–870
1966
Earlier work this paper cites.
Goldberg, J. N., Macfarlane, A. J., Newman, E. T., Rohrlich, F., Sudarshan, E. C. G., 1967. Spin- s s spherical harmonics and ð \eth . J. Math. Phys. 8 (11), 2155–2161
1967
Earlier work this paper cites.
Bond, J. R., Efstathiou, G., Jun. 1987. The statistics of cosmic background radiation fluctuations. Mon. Not. Roy. Astron. Soc. 226, 655–687
1987
Earlier work this paper cites.
Varshalovich, D. A., Moskalev, A. N., Khersonskii, V. K., 1989. Quantum theory of angular momentum. World Scientific, Singapore
1989
Earlier work this paper cites.
Driscoll, J. R., Healy, D. M. J., 1994. Computing Fourier transforms and convolutions on the sphere. Adv. Appl. Math. 15, 202–250
1994
Earlier work this paper cites.
Schröder, P., Sweldens, W., 1995. Spherical wavelets: efficiently representing functions on the sphere. In: Computer Graphics Proceedings (SIGGRAPH ‘95). pp. 161–172
1995
Earlier work this paper cites.
Kamionkowski, M., Kosowsky, A., Stebbins, A., 1997. Statistics of cosmic microwave background polarization. Phys. Rev. D. D55, 7368–7388
1997
Earlier work this paper cites.
Sweldens, W., 1997. The lifting scheme: a construction of second generation wavelets. SIAM J. Math. Anal. 29 (2), 511–546
1997
Earlier work this paper cites.
1997
Earlier work this paper cites.
Antoine, J.-P., Vandergheynst, P., 1998. Wavelets on the n-sphere and related manifolds. J. Math. Phys. 39 (8), 3987–4008
1998
Earlier work this paper cites.
Antoine, J.-P., Vandergheynst, P., 1999. Wavelets on the 2-sphere: a group theoretical approach. Applied Comput. Harm. Anal. 7, 1–30
1999
Earlier work this paper cites.
Barreiro, R. B., Hobson, M. P., Lasenby, A. N., Banday, A. J., Górski, K. M., Hinshaw, G., 2000. Testing the Gaussianity of the COBE-DMR data with spherical wavelets. Mon. Not. Roy. Astron. Soc. 318, 475–481
2000
Earlier work this paper cites.
Heavens, A., Aug. 2003. 3D weak lensing. Mon. Not. Roy. Astron. Soc. 343, 1327–1334
2003
Earlier work this paper cites.
Vielva, P., Martínez-González, E., Barreiro, R. B., Sanz, J. L., Cayón, L., 2004. Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets. Astrophys. J. 609, 22–34
2004
Earlier work this paper cites.
Górski, K. M., Hivon, E., Banday, A. J., Wandelt, B. D., Hansen, F. K., Reinecke, M., Bartelmann, M., 2005. Healpix – a framework for high resolution discretization and fast analysis of data distributed on the sphere. Astrophys. J. 622, 759–771
2005
Earlier work this paper cites.
McEwen, J. D., Hobson, M. P., Lasenby, A. N., Mortlock, D. J., 2005. A high-significance detection of non-Gaussianity in the WMAP 1-year data using directional spherical wavelets. Mon. Not. Roy. Astron. Soc. 359, 1583–1596
2005
Earlier work this paper cites.
Narcowich, F. J., Petrushev, P., Ward, J. D., 2006. Localized tight frames on spheres. SIAM J. Math. Anal. 38 (2), 574–594
2006
Earlier work this paper cites.
Pietrobon, D., Balbi, A., Marinucci, D., Aug. 2006. Integrated Sachs-Wolfe effect from the cross-correlation of WMAP 3-year and NVSS: new results and constraints on dark energy. Phys. Rev. D. 74 (4), 043524–+
2006
Earlier work this paper cites.
Sanz, J. L., Herranz, D., López-Caniego, M., Argüeso, F., Sep. 2006. Wavelets on the sphere – application to the detection problem. In: EUSIPCO
2006
Earlier work this paper cites.
Starck, J.-L., Moudden, Y., Abrial, P., Nguyen, M., Feb. 2006. Wavelets, ridgelets and curvelets on the sphere. Astron. & Astrophys. 446, 1191–1204
2006
Earlier work this paper cites.
Geller, D., Hansen, F. K., Marinucci, D., Kerkyacharian, G., Picard, D., 2008. Spin needlets for cosmic microwave background polarization data analysis. Phys. Rev. D. 78 (12), 123533–+
2008
Cited alongside, same era.
Kostelec, P., Rockmore, D., 2008. FFTs on the rotation group. J. Fourier Anal. and Appl. 14, 145–179
2008
Cited alongside, same era.
Lan, X., Marinucci, D., 2008. The needlets bispectrum. Electronic Journal of Statistics 2, 332–367
2008
Cited alongside, same era.
Marinucci, D., Pietrobon, D., Balbi, A., Baldi, P., Cabella, P., Kerkyacharian, G., Natoli, P., Picard, D., Vittorio, N., 2008. Spherical needlets for cosmic microwave background data analysis. Mon. Not. Roy. Astron. Soc. 383, 539–545
2008
Cited alongside, same era.
McEwen, J. D., Scaife, A. M. M., 2008. Simulating full-sky interferometric observations. Mon. Not. Roy. Astron. Soc. 389 (3), 1163–1178
Simons, F. J., Loris, I., Nolet, G., Daubechies, I. C., Voronin, S., Judd, J. S., Vetter, P. A., Charléty, J., Vonesch, C., Nov. 2011. Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity. Geophysical Journal International 187, 969–988
2011
Later among the works it cites.
Lanusse, F., Rassat, A., Starck, J.-L., Apr. 2012. Spherical 3D isotropic wavelets. Astron. & Astrophys. 540, A92
2012
Later among the works it cites.
Leistedt, B., McEwen, J. D., 2012. Exact wavelets on the ball. IEEE Trans. Sig. Proc. 60 (12), 6257–6269
2012
Later among the works it cites.
Bobin, J., Starck, J.-L., Sureau, F., Basak, S., Feb. 2013. Sparse component separation for accurate cosmic microwave background estimation. Astron. & Astrophys. 550, A73
2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2008
Cited alongside, same era.
Wiaux, Y., McEwen, J. D., Vandergheynst, P., Blanc, O., 2008. Exact reconstruction with directional wavelets on the sphere. Mon. Not. Roy. Astron. Soc. 388 (2), 770–788
2008
Cited alongside, same era.
Wiaux, Y., Vielva, P., Barreiro, R. B., Martínez-González, E., Vandergheynst, P., Apr. 2008. Non-Gaussianity analysis on local morphological measures of WMAP data. Mon. Not. Roy. Astron. Soc. 385, 939–947
2008
Cited alongside, same era.
Baldi, P., Kerkyacharian, G., Marinucci, D., Picard, D., 2009. Asymptotics for spherical needlets. Ann. Stat. 37 No.3, 1150–1171
2009
Cited alongside, same era.
Delabrouille, J., Cardoso, J.-F., Le Jeune, M., Betoule, M., Fay, G., Guilloux, F., Jan. 2009. A full sky, low foreground, high resolution CMB map from WMAP. Astron. & Astrophys. 493, 835–857
2009
Cited alongside, same era.
Gold, B., Bennett, C. L., Hill, R. S., Hinshaw, G., Odegard, N., Page, L., Spergel, D. N., Weiland, J. L., Dunkley, J., Halpern, M., Jarosik, N., Kogut, A., Komatsu, E., Larson, D., Meyer, S. S., Nolta, M. R., Wollack, E., Wright, E. L., Feb. 2009. Five-Year Wilkinson Microwave Anisotropy Probe Observations: Galactic Foreground Emission. Astrophys. J. Supp. 180, 265–282
2009
Cited alongside, same era.
Starck, J., Moudden, Y., Bobin, J., Apr. 2009. Polarized wavelets and curvelets on the sphere. Astron. & Astrophys. 497, 931–943
2009
Cited alongside, same era.
Geller, D., Marinucci, D., Nov. 2010. Spin Wavelets on the Sphere. J. Fourier Anal. and Appl. 16 (6), 840––884
2010
Cited alongside, same era.
2013
Later among the works it cites.
McEwen, J. D., Leistedt, B., 2013. Fourier-Laguerre transform, convolution and wavelets on the ball. In: 10th International Conference on Sampling Theory and Applications (SampTA). pp. 329–333
2013
Later among the works it cites.
McEwen, J. D., Vandergheynst, P., Wiaux, Y., 2013. On the computation of directional scale-discretized wavelet transforms on the sphere. In: SPIE Wavelets and Sparsity XV. Vol. 8858
2013
Later among the works it cites.
Planck Collaboration XII, 2014. Planck 2013
2013
Later among the works it cites.
Planck Collaboration XXIII, 2014. Planck
2013
Later among the works it cites.
Planck Collaboration XXV, 2014. Planck
2013
Later among the works it cites.
Plattner, A., Simons, F. J., 2013. A spatiospectral localization approach for analyzing and representing vector-valued functions on spherical surfaces. In: SPIE Wavelets and Sparsity XV. Vol. 8858
2013
Later among the works it cites.
Durastanti, C., Fantaye, Y., Hansen, F., Marinucci, D., Pesenson, I. Z., Nov. 2014. Simple proposal for radial 3D needlets. Phys. Rev. D. 90 (10), 103532
2014
Later among the works it cites.
McEwen, J. D., Büttner, M., Leistedt, B., Peiris, H. V., Vandergheynst, P., Wiaux, Y., 2014. On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation. In: Proceedings IAU Symposium No. 306, 2014
2014
Later among the works it cites.
Leistedt, B., McEwen, J. D., Kitching, T. D., Peiris, H. V., 2015. 3D weak lensing with spin wavelets on the ball. Phys. Rev. D. 92, 123010
2015
Closest in time.
McEwen, J. D., Büttner, M., Leistedt, B., Peiris, H. V., Wiaux, Y., 2015. A novel sampling theorem on the rotation group. IEEE Sig. Proc. Let. 22 (12), 2425–2429
2015
Closest in time.
Chan, J. Y. H., Leistedt, B., Kitching, T. D., McEwen, J. D., 2016. Second-generation curvelets on the sphere. IEEE Trans. Sig. Proc. 65 (1), 5–14
2016
Closest in time.
McEwen, J. D., Durastanti, C., Wiaux, Y., 2016. Localisation of directional scale-discretised wavelets on the sphere. Applied Comput. Harm. Anal., in press
2016
Closest in time.
Leistedt, B., McEwen, J. D., Büttner, M., Peiris, H. V., 2017. Wavelet reconstruction of E E and B B modes for CMB polarisation and cosmic shear analyses. Mon. Not. Roy. Astron. Soc. 466 (3), 3728–3740
2017
Closest in time.
McEwen, J. D., 2017. Ridgelet transform on the sphere. IEEE Trans. Image Proc., submitted
2017
Closest in time.