M. Bartelmann, A&A, vol.303, p.643, 1995.

M. Bartelmann and P. Schneider, Phys. Rep, vol.340, p.291, 2001.

K. Benabed and R. Scoccimarro, A&A, vol.456, p.421, 2006.

Y. Benjamini and Y. Hochberg, J. R. Stat. Soc. B, vol.57, p.289, 1995.

F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimarro, Phys. Rep, vol.367, p.1, 2002.

F. Bernardeau, Y. Mellier, and L. Van-waerbeke, A&A, vol.389, p.28, 2002.

S. L. Bridle, M. P. Hobson, A. N. Lasenby, and R. Saunders, MNRAS, vol.299, p.895, 1998.

C. Chang, V. Vikram, and B. Jain, Phys. Rev. Lett, vol.115, p.51301, 2015.

C. Chang, A. Pujol, and B. Mawdsley, MNRAS, vol.475, p.3165, 2018.

R. G. Crittenden, P. Natarajan, U. Pen, and T. Theuns, ApJ, vol.568, p.20, 2002.

M. Crocce, F. J. Castander, E. Gaztañaga, P. Fosalba, and J. Carretero, MNRAS, vol.453, p.1513, 2015.

M. Cropper, H. Hoekstra, and T. Kitching, MNRAS, vol.431, p.3103, 2013.

M. Elad, J. Starck, P. Querre, and D. J. Donoho, Appl. Comput. Harmonic Anal, vol.19, p.340, 2005.

P. Fosalba, E. Gaztañaga, F. J. Castander, and M. Manera, MNRAS, vol.391, p.435, 2008.

P. Fosalba, E. Gaztañaga, F. J. Castander, and M. Crocce, MNRAS, vol.447, p.1319, 2015.

J. Green, P. Schechter, and C. Baltay, , 2012.

H. Hildebrandt, A. Choi, and C. Heymans, MNRAS, vol.463, p.635, 2016.

N. Jeffrey, F. B. Abdalla, and O. Lahav, MNRAS, vol.479, p.2871, 2018.

B. Joachimi, E. Semboloni, and S. Hilbert, MNRAS, vol.436, p.819, 2013.

E. Jullo, S. Pires, M. Jauzac, and J. Kneib, MNRAS, vol.437, p.3969, 2014.

N. Kaiser, ApJ, vol.439, p.1, 1995.

N. Kaiser and G. Squires, ApJ, vol.404, p.441, 1993.

M. Kilbinger, C. Bonnett, J. ;. Coupon, and P. Schneider, Athena: Tree code for secondorder correlation functions, Astrophysics Source Code Library Kilbinger, vol.442, p.69, 2005.

F. Lanusse, J. Starck, A. Leonard, and S. Pires, A&A, vol.591, p.2, 2016.

R. Laureijs, J. Amiaux, S. Arduini, A. Leauthaud, R. Massey et al., ApJS, vol.172, p.219, 2007.

A. Leonard, S. Pires, and J. Starck, MNRAS, vol.423, p.3405, 2012.

C. Lin, M. Kilbinger, and S. Pires, A&A, vol.593, p.88, 2016.

J. Liu, A. Petri, and Z. Haiman, Phys. Rev. D, vol.91, p.63507, 2015.

P. A. Abell, , 2009.

P. J. Marshall, M. P. Hobson, S. F. Gull, and S. L. Bridle, MNRAS, vol.335, p.1037, 2002.

N. Martinet, P. Schneider, and H. Hildebrandt, MNRAS, vol.474, p.712, 2018.

R. Massey, J. Rhodes, and R. Ellis, Nature, vol.445, p.286, 2007.

M. Oguri, S. Miyazaki, and C. Hikage, PASJ, vol.70, p.26, 2018.

C. Pichon, E. Thiébaut, and S. Prunet, MNRAS, vol.401, p.705, 2010.

S. Pires, J. Starck, and A. Amara, MNRAS, vol.395, p.1265, 2009.

S. Pires, J. Starck, A. Amara, A. Réfrégier, and R. Teyssier, A&A, vol.505, p.969, 2009.

S. Pires, S. Plaszczynski, and A. Lavabre, Stat. Method, vol.9, p.71, 2012.

S. Pires, A. Leonard, and J. Starck, MNRAS, vol.423, p.983, 2012.

D. Potter, J. Stadel, and R. Teyssier, Comput. Astrophys. Cosmol, vol.4, issue.2, 2017.

P. Schneider, A&A, vol.302, p.639, 1995.

P. Schneider, MNRAS, vol.283, p.837, 1996.

P. Schneider, L. Van-waerbeke, and Y. Mellier, A&A, vol.333, p.767, 1998.

P. Schneider, L. Van-waerbeke, M. Kilbinger, and Y. Mellier, A&A, vol.396, p.1, 2002.

T. Schrabback, S. Hilbert, and H. Hoekstra, MNRAS, vol.454, p.1432, 2015.

T. Schrabback, M. Schirmer, and R. F. Van-der-burg, A&A, vol.610, p.85, 2018.

C. Seitz and P. Schneider, A&A, vol.297, p.287, 1995.

S. Seitz and P. Schneider, A&A, vol.305, p.383, 1996.

S. Seitz and P. Schneider, A&A, vol.374, p.740, 2001.

S. Seitz, P. Schneider, and M. Bartelmann, A&A, vol.337, p.325, 1998.

U. Seljak, ApJ, vol.506, p.64, 1998.

H. Y. Shan, J. Kneib, and J. Comparat, MNRAS, vol.442, p.2534, 2014.

C. Shapiro, ApJ, vol.696, p.775, 2009.

X. Shi, P. Schneider, and B. Joachimi, A&A, vol.533, p.48, 2011.

G. Squires and N. Kaiser, ApJ, vol.473, p.65, 1996.

J. Starck and F. Murtagh, Astronomical Image and Data Analysis, 2002.

J. Starck, F. Murtagh, and A. Bijaoui, Image Processing and Data Analysis: The Multiscale Approach, 1998.

J. Starck, S. Pires, and A. Réfrégier, A&A, vol.451, p.1139, 2006.

L. Van-waerbeke, J. Benjamin, and T. Erben, MNRAS, vol.433, p.3373, 2013.

M. Vicinanza, V. F. Cardone, R. Maoli, R. Scaramella, and X. Er, Phys. Rev. D, vol.97, p.23519, 2018.

M. Vicinanza, V. F. Cardone, and R. Maoli, Phys. Rev. D, vol.99, p.43534, 2019.

V. Vikram, C. Chang, and B. Jain, Phys. Rev. D, vol.92, p.22006, 2015.

M. White, Astropart. Phys, vol.23, p.349, 2005.

H. S. Xavier, F. B. Abdalla, and B. Joachimi, MNRAS, vol.459, p.3693, 2016.

. München,

, Germany 4 INAF-Osservatorio Astrofisico di Torino, Via Osservatorio 20, Giessenbachstr. 1, 85748 Garching, 10025.

. Inaf-osservatorio-astrofisico-di-torino, Via Osservatorio, vol.20, 10025.

A. Apc, U. Et-cosmologie, . Paris-diderot, . Cnrs/in2p3, O. Cea/lrfu et al., Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex, vol.13

, Portugal 8 Institut de Física d'Altes Energies IFAE, 08193 Bellaterra, vol.33, p.78

, Via Cinthia 6, 80126 Napoli, Italy 11 INFN section of Naples, Via Cinthia 6, 80126 Napoli, Italy 12 INAF-Osservatorio Astronomico di Capodimonte, Via Moiariello, vol.16, p.80131

, Royal Observatory

C. Esac/esa, . Bajo-del-castillo, . Urb, and . Villafranca-del-castillo, Ch. d'Écogia 16, 1290 Versoix, Switzerland 17 Institute of Space Sciences, vol.19, p.34131, 28692.

, Via Piero Gobetti 93/3, 40129 Bologna, Italy 21 INAF-IASF Milano, Via Alfonso Corti, vol.12, p.69622, 20133.

V. Cedex, Département de Physique Théorique and Centre for Astroparticle Physics, 1211.

, Switzerland 27 Institute of Theoretical Astrophysics, Genève, vol.4

. Argelander-institut-für-astronomie, Auf dem Hügel 71, 53121 Bonn, Germany 29 Centre for Extragalactic Astronomy

S. Observatoire-de, Ecole Polytechnique Fédérale de Lausanne, 1290.

, Italy 33 Institute of Space Sciences (IEEC-CSIC), c/Can Magrans s/n, 08193 Cerdanyola del Vallés, 34 Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), vol.40, pp.1749-1765, 28040.

, Spain 38 Infrared Processing and Analysis Center

, Bin the projected shear onto a grid and define? as the average shear in each pixel

, = 1 for pixels where we have information and M[i 1 , i 2 ] = 0 for pixels with no galaxies, and take a support twice larger for the shear maps and include the borders in the masked region, Set the mask M: M[i 1

, Set the maximum number of iterations to I max = 100, the maximum threshold ? max = max(| ? T P * ? |), and the minimum threshold ? min = 0

, Set i = 0, ? 0 = ? max , ? i = ? k and iterate: 8. Compute the forward transform: ? = ? T ? i

, Compute? by setting to zero the coefficients ? below the threshold ? i

, Reconstruct ? i from?: ? i = ??

J. .. , Decompose ? i into its wavelet coefficients {w 1 , w 2

, Reconstruct ? i by performing the backward wavelet transform from the normalised coefficients

, Perform the inverse mass relation: ? i = P? i

, Enforce the observed shear? outside the gaps: ? i = (1 ? M) ? i + M? k

, Perform the direct mass inversion: ? i = P * ? i

, Update the threshold: ? i = F(i, ? min , ? max )

, Set i = i + 1. If i < I max , return to step 8

, Set k = k + 1, ? k = ? i . If k < 3, return to step 6