Healpix swMATH ID: 8860 Software Authors: K. M. Górski; E. Hivon; A. J. Banday; B. D. Wandelt; F. K. Hansen; M. Reinecke; M. Bartelmann Description: HEALPix: A Framework for High-Resolution Discretization and Fast Analysis of Data Distributed on the Sphere. HEALPix—the Hierarchical Equal Area isoLatitude Pixelization—is a versatile structure for the pixelization of data on the sphere. An associated library of computational algorithms and visualization software supports fast scientific applications executable directly on discretized spherical maps generated from very large volumes of astronomical data. Originally developed to address the data processing and analysis needs of the present generation of cosmic microwave background experiments (e.g., BOOMERANG, WMAP), HEALPix can be expanded to meet many of the profound challenges that will arise in confrontation with the observational output of future missions and experiments, including, e.g., Planck, Herschel, SAFIR, and the Beyond Einstein inflation probe. In this paper we consider the requirements and implementation constraints on a framework that simultaneously enables an efficient discretization with associated hierarchical indexation and fast analysis/synthesis of functions defined on the sphere. We demonstrate how these are explicitly satisfied by HEALPix. Homepage: http://healpix.jpl.nasa.gov/ Related Software: healpy; DLMF; Python; SciPy; CAMB; Matplotlib; NumPy; rcosmo; IGLOO; FRK; Astropy; GLESP; CLASS; libsharp; PySM; DeepSphere; R; FFTW; GADGET; ZOBOV Cited in: 76 Publications all top 5 Cited by 180 Authors 8 Marinucci, Domenico 4 Roşca, Daniela 3 Chingangbam, Pravabati 3 Delabrouille, Jacques 3 Durastanti, Claudio 3 Fadili, Jalal M. 3 Faÿ, Gilles 3 Lan, Xiaohong 3 Olenko, Andriy Yakovych 3 Starck, Jean-Luc 3 Wandelt, Benjamin D. 3 Wang, Yuguang 3 Womersley, Robert S. 2 Broadbridge, Philip 2 Caponera, Alessia 2 Cardoso, Jean-François 2 Fan, Minjie 2 Geller, Daryl 2 Gräf, Manuel 2 Guilloux, Frédéric 2 Holhoş, Adrian 2 Johnson, Matthew C. 2 Kerkyacharian, Gérard 2 Le Gia, Quoc Thong 2 Lee, Thomas C. M. 2 Leonenko, Nikolai N. 2 Martínez-González, Enrique 2 Matsuo, Tomoko 2 McEwen, Jason D. 2 Mukherjee, Suvodip 2 Murtagh, Fionn D. 2 Paul, Debashis 2 Picard, Dominique B. 2 Plonka, Gerlind 2 Potts, Daniel 2 Shaikh, Shabbir 2 Simeoni, Matthieu 2 Souradeep, Tarun 2 Terrana, Alexandra 2 Vielva, P. 2 Wright, Grady B. 1 Abrial, P. 1 Alegria, Alfredo 1 Alonso, David 1 Appleby, Stephen A. 1 Avila, Sébastien 1 Baldi, Paolo 1 Barreira, Alexandre 1 Barreiro, R. B. 1 Bartelmann, Matthias 1 Battye, Richard A. 1 Betoule, M. 1 Bhattacharjee, Satyaki 1 Bilbao-Ahedo, J. D. 1 Bissiri, Pier Giovanni 1 Brauchart, Johann S. 1 Brown, Michael L. 1 Buchan, Andrew G. 1 Bunn, Emory F. 1 Cabella, Paolo 1 Cammarota, Valentina 1 Chen, Xiaojun 1 Cheng, Dan 1 Cleanthous, Galatia 1 Cole, Alex 1 Contreras, Dagoberto 1 Coombs, William M. 1 Creasey, Peter E. 1 Cressie, Noel A. C. 1 Crittenden, Robert G. 1 Crouch, Roger S. 1 Dargaville, Steven 1 Das, Santanu Kumar 1 de Mattia, Arnaud 1 de Paolis, Francesco 1 Deutsch, Anne-Sylvie 1 Digel, S. W. 1 Doré, Olivier 1 Drake, Kathryn P. 1 Dunkley, Jo 1 Durrer, Ruth 1 Fageot, Julien 1 Fantaye, Yabebal 1 Ferreira, Pedro G. 1 Fryer, Daniel 1 Ganesan, Vidhya 1 García-García, Carlos 1 Gebhardt, Henry S. Grasshorn 1 Ghosh, Tuhin 1 Goyal, Priya 1 Grabner, Peter J. 1 Gutiérrez, José Manuel 1 Harris, Mary-Jean 1 Heavens, Alan F. 1 Hernández Paricio, Luis Javier 1 Herranz, Diego 1 Hobson, Michael Paul 1 Joby, P. K. 1 Johannesson, Gardar 1 Jow, Dylan L. ...and 80 more Authors all top 5 Cited in 34 Serials 20 Journal of Cosmology and Astroparticle Physics 6 Applied and Computational Harmonic Analysis 6 Electronic Journal of Statistics 4 Journal of Computational Physics 3 The Annals of Applied Statistics 2 Computers & Mathematics with Applications 2 The Annals of Statistics 1 Astronomy and Astrophysics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 ACM Transactions on Mathematical Software 1 Journal of the American Statistical Association 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Results in Mathematics 1 Journal of Complexity 1 IEEE Transactions on Signal Processing 1 The Annals of Applied Probability 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Computational Statistics 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Monte Carlo Methods and Applications 1 Bernoulli 1 Statistical Inference for Stochastic Processes 1 Journal of High Energy Physics 1 The ANZIAM Journal 1 Statistical Methodology 1 SIAM Journal on Imaging Sciences 1 Arabian Journal of Mathematics 1 Japanese Journal of Statistics and Data Science all top 5 Cited in 32 Fields 24 Relativity and gravitational theory (83-XX) 23 Statistics (62-XX) 22 Numerical analysis (65-XX) 20 Astronomy and astrophysics (85-XX) 16 Probability theory and stochastic processes (60-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 7 Optics, electromagnetic theory (78-XX) 6 Partial differential equations (35-XX) 6 Quantum theory (81-XX) 5 Geophysics (86-XX) 5 Information and communication theory, circuits (94-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year