References

These publications are extracted from the Celeritas team’s Zotero database.

Physics models and validation

A. Howard. “Electromagnetic physics II: Optical Photons”. Oct 2023. indico.cern.ch
E. Tiesinga, P. J. Mohr, D. B. Newell, B. N. Taylor. “CODATA Recommended Values of the Fundamental Physical Constants: 2018”. Journal of Physical and Chemical Reference Data, Sep 2021. 10.1063/5.0064853
W. R. Saunders, J. Grant, E. H. Müller. “A new algorithm for electrostatic interactions in Monte Carlo simulations of charged particles”. Journal of Computational Physics, Apr 2021. 10.1016/j.jcp.2020.110099
Bureau International des Poids et Mesures. “The International System of Units”. Nov 2019.
M. D. Looper. “Adjoint Monte Carlo Simulations and Improved Sector Shielding Calculations with Geant4”. Nov 2018.
M. Tanabashi, K. Hagiwara, K. Hikasa, K. Nakamura, Y. Sumino, et al. “Review of Particle Physics”. Physical Review D, Aug 2018. 10.1103/PhysRevD.98.030001
C. Leroy, P. Rancoita. “Principles of radiation interaction in matter and detection”. World Scientific, New Jersey, Nov 2016. www-worldscientific-com.ezproxy.cern.ch
N. van Remortel. “The nature of natural units”. Nature Physics, Nov 2016. 10.1038/nphys3950
D. Wright, M. Kelsey. “The Geant4 Bertini Cascade”. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Dec 2015. 10.1016/j.nima.2015.09.058
M. Boschini, C. Consolandi, M. Gervasi, S. Giani, D. Grandi, et al. “An expression for the Mott cross section of electrons and positrons on nuclei with Z up to 118”. Radiation Physics and Chemistry, Sep 2013. 10.1016/j.radphyschem.2013.04.020
V. V. Uzhinsky. “The Fritiof (FTF) Model in Geant4”. in Proceedings of CHEP 2013, Paris, France, Apr 2013. s3.cern.ch
S. Meroli, D. Passeri, L. Servoli. “Energy loss measurement for charged particles in very thin silicon layers”. Journal of Instrumentation, Jun 2011. 10.1088/1748-0221/6/06/P06013
V. N. Ivanchenko, O. Kadri, M. Maire, L. Urban. “Geant4 models for simulation of multiple scattering”. Journal of Physics: Conference Series, Apr 2010. 10.1088/1742-6596/219/3/032045
F. Salvat, J. M. Fernández-Varea. “Overview of physical interaction models for photon and electron transport used in Monte Carlo codes”. Metrologia, Apr 2009. 10.1088/0026-1394/46/2/S08
L. Urbán. “A Model for Multiple Scattering in Geant4”. Geneva. Switzerland, Nov 2006.
“Stopping of Ions Heavier than Helium”. Journal of the ICRU, Jun 2005. 10.1093/jicru_ndi001
L. Urban. “Multiple scattering model in Geant4”. Nov 2002. cds.cern.ch
A. Butkevich, R. Kokoulin, G. Matushko, S. Mikheyev. “Comments on multiple scattering of high-energy muons in thick layers”. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Aug 2002. 10.1016/S0168-9002(02)00478-3
V. Grichine. “On the energy-angle distribution of Cherenkov radiation in an absorbing medium”. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Apr 2002. 10.1016/S0168-9002(01)01927-1
J. Sempau, S. J. Wilderman, A. F. Bielajew. “DPM, a fast, accurate Monte Carlo code optimized for photon and electron radiotherapy treatment planning dose calculations”. Physics in Medicine and Biology, Aug 2000. 10.1088/0031-9155/45/8/315
S. Klein. “Suppression of bremsstrahlung and pair production due to environmental factors”. Reviews of Modern Physics, Oct 1999. 10.1103/RevModPhys.71.1501
I. Kawrakow, A. F. Bielajew. “On the condensed history technique for electron transport”. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Nov 1998. 10.1016/S0168-583X(98)00274-2
M. Inokuti. “Remarks on Stopping Power: Its Connections with Particle Transport and with the Electronic Structure of Matter”. International Journal of Quantum Chemistry, Nov 1996.
T. Lijian, H. Qing, L. Zhengming. “Analytic fitting to the mott cross section of electrons”. Radiation Physics and Chemistry, Feb 1995. 10.1016/0969-806X(94)00063-8
J. M. Femindez-Varea, J. B. Mayol, Salvat. “On the theory and simulation of multiple elastic scattering of electrons”. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Nov 1993.
J. Fernández-Varea, R. Mayol, F. Salvat. “Cross sections for elastic scattering of fast electrons and positrons by atoms”. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Jul 1993. 10.1016/0168-583X(93)95079-K
E. W. Larsen. “A theoretical derivation of the Condensed History Algorithm”. Annals of Nuclear Energy, Oct 1992. 10.1016/0306-4549(92)90013-2
L. Kim, R. H. Pratt, S. M. Seltzer, M. J. Berger. “Ratio of positron to electron bremsstrahlung energy loss: An approximate scaling law”. Physical Review A, May 1986. 10.1103/PhysRevA.33.3002
T. Stanev, C. Vankov, R. E. Streitmatter, R. W. Ellsworth, T. Bowen, et al. “Development of ultrahigh-energy electromagnetic cascades in water and lead including the Landau-Pomeranchuk-Migdal effect”. Physical Review D, Mar 1982. 10.1103/PhysRevD.25.1291
M. Inokuti. “Inelastic collisions of fast charged particles with atoms and molecules—the Bethe theory revisited”. Reviews of modern physics, Nov 1971.
J. Butcher, H. Messel. “Electron number distribution in electron-photon showers in air and aluminium absorbers”. Nuclear Physics, Oct 1960. 10.1016/0029-5582(60)90162-0
R. H. Helm. “Inelastic and Elastic Scattering of 187-Mev Electrons from Selected Even-Even Nuclei”. Physical Review, Dec 1956. 10.1103/PhysRev.104.1466
A. B. Migdal. “Bremsstrahlung and Pair Production in Condensed Media at High Energies”. Physical Review, Sep 1956. 10.1103/PhysRev.103.1811
“On the stopping of fast particles and on the creation of positive electrons”. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Aug 1934. 10.1098/rspa.1934.0140

HEP experiments

A. Collaboration. “Software and computing for Run 3 of the ATLAS experiment at the LHC”. Apr 2024. arxiv.org
S. Lachnit, Pezzotti, Lorenzo, Konstantinov, Dmitri. “Standalone Geant4 validation of the ATLAS Tile Calorimeter”. Aug 2022.
CMS Offline Software. “CMS Phase-2 Computing Model: Update Document”. Jul 2022. cds.cern.ch
CMS Collaboration. “The Phase-2 upgrade of the CMS Data Acquisition and High Level Trigger Technical Design Report”. Jun 2021.
O. Surányi, A. Al-Bataineh, J. Bowen, S. Cooper, M. Csanád, et al. “Performance of the CMS Zero Degree Calorimeters in pPb collisions at the LHC”. Journal of Instrumentation, May 2021. 10.1088/1748-0221/16/05/P05008
D. Akerib, C. Akerlof, A. Alqahtani, S. Alsum, T. Anderson, et al. “Simulations of events for the LUX-ZEPLIN (LZ) dark matter experiment”. Astroparticle Physics, Feb 2021. 10.1016/j.astropartphys.2020.102480
CMS Offline Software and Computing. “Evolution of the CMS Computing Model towards Phase-2”. Geneva. Switzerland, Jan 2021. cds.cern.ch
A. Ryd, L. Skinnari. “Tracking Triggers for the HL-LHC”. Annual Review of Nuclear and Particle Science, Oct 2020. 10.1146/annurev-nucl-020420-093547
A. M. Sirunyan, A. Tumasyan, W. Adam, E. Asilar, T. Bergauer, et al. “Particle-flow reconstruction and global event description with the CMS detector”. Journal of Instrumentation, Oct 2017. 10.1088/1748-0221/12/10/p10003
S. Ritz, H. Aihara, M. Breidenbach, B. Cousins, A. de Gouvêa, et al. “Building for Discovery: Strategic Plan for U.S. Particle Physics in the global Context”. May 2014. www.usparticlephysics.org
V. Klyukhin, A. Ball, F. Bergsma, D. Campi, B. Cure, et al. “Measurement of the CMS Magnetic Field”. IEEE Transactions on Applied Superconductivity, Jun 2008. 10.1109/TASC.2008.921242

Software implementations

J. Apostolakis, D. Cvijetic, G. Cosmo, A. Gheata, J. Hahnfeld, et al. “Surface-based GPU-friendly geometry modeling for detector simulation”. EPJ Web of Conferences, Nov 2024. 10.1051/epjconf/202429503039
S. C. Blyth, R. De Vita, X. Espinal, P. Laycock, O. Shadura, et al. “Opticks: GPU Optical Photon Simulation via NVIDIA OptiX”. EPJ Web of Conferences, Nov 2024. 10.1051/epjconf/202429511014
The ATLAS Collaboration. “Software and computing for Run 3 of the ATLAS experiment at the LHC”. Geneva. Switzerland, Nov 2024. doi.org
J. Hahnfeld, V. Ivanchenko, M. Novak, L. Pandola, D. Sawkey, et al. “Geant4 electromagnetic physics for Run3 and Phase2 LHC”. EPJ Web of Conferences, Nov 2024. 10.1051/epjconf/202429503018
J. P. Morgan, A. Mote, S. L. Pasmann, G. Ridley, T. S. Palmer, et al. “The Monte Carlo Computational Summit – October 25 & 26, 2023 – Notre Dame, Indiana, USA”. Journal of Computational and Theoretical Transport, Jun 2024. 10.1080/23324309.2024.2354401
S. V. Chekanov, S. Eno, S. Magill, C. Palmer, L. Wu, et al. “Geant4 simulations of sampling and homogeneous hadronic calorimeters with dual readout for future colliders”. Nov 2023. arxiv.org
A. Howard. “Electromagnetic physics II - Optical Photons”. CERN, Oct 2023. indico.cern.ch
M. Novák. “On Geant4 and differentiable programming”. Sep 2023.
A. C. S. Davis, S. Barré, Y. Cui, K. L. Evans, M. Gersabeck, et al. “Optical Photon Simulation with Mitsuba3”. Sep 2023. arxiv.org
Alastair Dewhurst. “HEPScore …and why you should care!”. Mar 2023.
G. Amadio, J. Apostolakis, P. Buncic, G. Cosmo, D. Dosaru, et al. “Offloading electromagnetic shower transport to GPUs”. Journal of Physics: Conference Series, Feb 2023. 10.1088/1742-6596/2438/1/012055
A. Salzburger, J. Niermann, B. Yeo, A. Krasznahorkay. “Detray: a compile time polymorphic tracking geometry description”. Journal of Physics: Conference Series, Feb 2023. 10.1088/1742-6596/2438/1/012026
V. D. Elvira, S. Gottlieb, O. Gutsche, B. Nachman, S. Bailey, et al. “The Future of High Energy Physics Software and Computing”. Nov 2022. arxiv.org
S. R. Eriksen. “Commissioning of the Outer Detector of the LUX-ZEPLIN experiment and a study of the experiment’s sensitivity to signatures arising from effective field theory operators”. Sep 2022.
J. Apostolakis, M. Bandieramonte, S. Banerjee, N. Bartosik, G. Corti, et al. “Detector Simulation Challenges for Future Accelerator Experiments”. Frontiers in Physics, Jun 2022. 10.3389/fphy.2022.913510
“GDML User’s Guide”. Jun 2022.
T. M. Evans, A. Siegel, E. W. Draeger, J. Deslippe, M. M. Francois, et al. “A survey of software implementations used by application codes in the Exascale Computing Project”. The International Journal of High Performance Computing Applications, Jan 2022. 10.1177/10943420211028940
M. McManus, F. Romano, G. Royle, H. Palmans, A. Subiel, et al. “A Geant4 Fano test for novel very high energy electron beams”. Physics in Medicine & Biology, Dec 2021. 10.1088/1361-6560/ac3e0f
X. Ai, G. Mania, H. M. Gray, M. Kuhn, N. Styles, et al. “A GPU-based Kalman Filter for Track Fitting”. Computing and Software for Big Science, Dec 2021. 10.1007/s41781-021-00065-z
S. Blyth, C. Biscarat, S. Campana, B. Hegner, S. Roiser, et al. “Integration of JUNO simulation framework with Opticks: GPU accelerated optical propagation via NVIDIA® OptiX™”. EPJ Web of Conferences, Nov 2021. 10.1051/epjconf/202125103009
O. Creaner, S. Blyth, S. Eriksen, L. Gerhardt, M. E. Monzani, et al. “GPU simulation with Opticks: The future of optical simulations for LZ”. EPJ Web of Conferences, Nov 2021. 10.1051/epjconf/202125103037
J. Hahnfeld, L. Moneta, C. Biscarat, S. Campana, B. Hegner, et al. “A Portable Implementation of RANLUX++”. EPJ Web of Conferences, Nov 2021. 10.1051/epjconf/202125103008
Andrei Gheata. “AdePT Status”. Sep 2021. indico.cern.ch
Marc Verderi, Alberto Ribon. “Geant4 Introduction”. Apr 2021. indico.cern.ch
A. Buckley, P. Ilten, D. Konstantinov, L. Lönnblad, J. Monk, et al. “The HepMC3 Event Record Library for Monte Carlo Event Generators”. Computer Physics Communications, Mar 2021. 10.1016/j.cpc.2020.107310
A. Khan, H. Sim, S. S. Vazhkudai, A. R. Butt, Y. Kim, et al. “An Analysis of System Balance and Architectural Trends Based on Top500 Supercomputers”. in The International Conference on High Performance Computing in Asia-Pacific Region, Virtual Event Republic of Korea, Jan 2021. 10.1145/3432261.3432263
F. James, L. Moneta. “Review of High-Quality Random Number Generators”. Computing and Software for Big Science, Dec 2020. 10.1007/s41781-019-0034-3
S. Wenzel, J. Apostolakis, G. Cosmo, C. Doglioni, D. Kim, et al. “A VecGeom navigator plugin for Geant4”. EPJ Web of Conferences, Nov 2020. 10.1051/epjconf/202024502024
M. Bandieramonte, R. M. Bianchi, J. Boudreau, C. Doglioni, D. Kim, et al. “FullSimLight: ATLAS standalone Geant4 simulation”. EPJ Web of Conferences, Nov 2020. 10.1051/epjconf/202024502029
K. Pedro. “Integration and Performance of New Technologies in the CMS Simulation”. EPJ Web of Conferences, Nov 2020. 10.1051/epjconf/202024502020
A. Valassi, M. Alef, J. Barbet, O. Datskova, R. De Maria, et al. “Using HEP experiment workflows for the benchmarking and accounting of WLCG computing resources”. EPJ Web of Conferences, Nov 2020. 10.1051/epjconf/202024507035
The ATLAS Collaboration. “ATLAS HL-LHC Computing Conceptual Design Report”. Nov 2020. twiki.cern.ch
G. Amadio, A. Ananya, J. Apostolakis, M. Bandieramonte, S. Banerjee, et al. “GeantV: Results from the prototype of concurrent vector particle transport simulation in HEP”. Sep 2020. arxiv.org
Andrei Gheata. “AdePT: Accelerated demonstrator of electromagnetic Particle Transport”. Sep 2020. indico.cern.ch
F. Sanglard. “A history of NVidia Stream Multiprocessor”. May 2020. fabiensanglard.net
The HEP Software Foundation, J. Albrecht, A. A. Alves, G. Amadio, G. Andronico, et al. “A Roadmap for HEP Software and Computing R&D for the 2020s”. Computing and Software for Big Science, Dec 2019. 10.1007/s41781-018-0018-8
P. Canal. “Geant Exascale Pilot Project”. Nov 2019.
S. Blyth. “Opticks: GPU Optical Photon Simulation for Particle Physics using NVIDIA OptiX”. EPJ Web of Conferences, Nov 2019. 10.1051/epjconf/201921402027
P. Mato. “GeantV Conclusions and Follow-up”. Oct 2019. indico.cern.ch
M. Rodriguez, J. Sempau, C. Bäumer, B. Timmermann, L. Brualla, et al. “DPM as a radiation transport engine for PRIMO”. Radiation Oncology, Dec 2018. 10.1186/s13014-018-1188-6
F. Fiorini, N. Schreuder, F. Van den Heuvel. “Defining cyclotron-based clinical scanning proton machines in a FLUKA Monte Carlo system”. Medical physics, Nov 2018.
L. Santi, F. Bergero, S. Y. Jun, K. Genser, D. Elvira, et al. “GQLink: an implementation of Quantized State Systems (QSS) methods in Geant4”. Journal of Physics: Conference Series, Sep 2018. 10.1088/1742-6596/1085/5/052015
G. Amadio, Ananya, J. Apostolakis, M. Bandieramonte, S. Behera, et al. “GeantV alpha release”. Journal of Physics: Conference Series, Sep 2018. 10.1088/1742-6596/1085/3/032037
A. Radovic, M. Williams, D. Rousseau, M. Kagan, D. Bonacorsi, et al. “Machine learning at the energy and intensity frontiers of particle physics”. Nature, Aug 2018. 10.1038/s41586-018-0361-2
S. Banerjee. “VecGeom in CMS Simulation Software”. Dec 2017.
D. A. Dixon, H. G. Hughes, F. Malvagi, F. Malouch, C. Diop, et al. “Validation of the MCNP6 electron-photon transport algorithm: multiple-scattering of 13- and 20-MeV electrons in thin foils”. EPJ Web of Conferences, Nov 2017. 10.1051/epjconf/201715306021
J. Allison, K. Amako, J. Apostolakis, P. Arce, M. Asai, et al. “Recent developments in Geant4”. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Nov 2016. 10.1016/j.nima.2016.06.125
H. Wan Chan Tseung, J. Ma, C. Beltran. “A fast GPU-based Monte Carlo simulation of proton transport with detailed modeling of nonelastic interactions”. Medical physics, Nov 2015.
J. Apostolakis, M. Bandieramonte, G. Bitzes, R. Brun, P. Canal, et al. “Towards a high performance geometry library for particle-detector simulations”. Journal of Physics: Conference Series, May 2015. 10.1088/1742-6596/608/1/012023
R. Lucas, R. Roser, V. D. Elvira, R. Fowler, G. Cooperman, et al. “Transforming Geant4 for the Future”. Sep 2012.
A. Buckley. “Simulation strategies for the LHC ATLAS experiment”. in IEEE Nuclear Science Symposuim & Medical Imaging Conference, Knoxville, TN, Oct 2010. 10.1109/NSSMIC.2010.5873849
C. Ay, A. Buckley, J. Butterworth, J. Ferland, I. Hinchliffe, et al. “Monte Carlo generators in ATLAS software”. Journal of Physics: Conference Series, Apr 2010. 10.1088/1742-6596/219/3/032001
A. S. Pasciak, J. R. Ford. “High-speed evaluation of track-structure Monte Carlo electron transport simulations”. Physics in Medicine and Biology, Oct 2008. 10.1088/0031-9155/53/19/018
J. Allison, M. Asai, G. Barrand, M. Donszelmann, K. Minamimoto, et al. “The Geant4 Visualisation System”. Computer Physics Communications, Mar 2008. 10.1016/j.cpc.2007.09.010
D. Rebuzzi, K. A. Assamagan. “Geant4 Muon Digitization in the ATHENA Framework”. Nov 2007.
L. Urbán. “A Model for Multiple Scattering in Geant4”. Geneva. Switzerland, Nov 2006.
R. Chytracek, J. Mccormick, W. Pokorski, G. Santin. “Geometry Description Markup Language for Physics Simulation and Analysis Applications”. IEEE Transactions on Nuclear Science, Oct 2006. 10.1109/TNS.2006.881062
J. Allison, K. Amako, J. Apostolakis, H. Araujo, P. Arce Dubois, et al. “Geant4 developments and applications”. IEEE Transactions on Nuclear Science, Feb 2006. 10.1109/TNS.2006.869826
M. Dressel. “Geometrical importance sampling in Geant4: from design to veriﬁcation”. Nov 2003.
M. G. Pia, G. Collaboration. “The Geant4 Toolkit: simulation capabilities and application results”. Nuclear Physics B-Proceedings Supplements, Nov 2003.
S. Agostinelli, J. Allison, K. Amako, J. Apostolakis, H. Araujo, et al. “Geant4—a simulation toolkit”. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Jul 2003. 10.1016/S0168-9002(03)01368-8

Computer science and mathematics

Yehonathan Sharvit. “Data-Oriented Programming: Unlearning Objects”. Manning Publications Co., Nov 2022.
S. Bhalachandra, C. Daley, V. Melesse Vergara, V. R. Pascuzzi, M. Goli, et al. “Achieving Near-Native Runtime Performance and Cross-Platform Performance Portability for Random Number Generation Through SYCL Interoperability”. Springer International Publishing, Cham, Nov 2022. link.springer.com
C. Muratori. “Turns are Better than Radians”. Sep 2022. www.computerenhance.com
M. D. Schwartz. “Modern Machine Learning and Particle Physics”. arXiv:2103.12226 [hep-ph], Mar 2021. arxiv.org
H. Haber. “Eigenvalues and eigenvectors of rotation matrices”. Nov 2019. scipp.ucsc.edu
C. F. Borges. “An Improved Algorithm for hypot(a,b)”. Jun 2019. arxiv.org
G. Marsaglia. “Xorshift RNGs”. Journal of Statistical software, Nov 2003.
G. Marsaglia, W. W. Tsang. “A simple method for generating gamma variables”. ACM Transactions on Mathematical Software, Sep 2000. 10.1145/358407.358414

Computational geometry

D. Meister, S. Ogaki, C. Benthin, M. J. Doyle, M. Guthe, et al. “A Survey on Bounding Volume Hierarchies for Ray Tracing”. Computer Graphics Forum, May 2021. 10.1111/cgf.142662
J. Apostolakis, G. Cosmo, A. Gheata, M. Gheata, R. Sehgal, et al. “A vectorization approach for multifaceted solids in VecGeom”. EPJ Web of Conferences, Nov 2019. 10.1051/epjconf/201921402025
B. R. Nease, D. L. Millman, D. P. Griesheimer, D. F. Gill, D. Caruge, et al. “Geometric Templates for Improved Tracking Performance in Monte Carlo Codes”. in SNA + MC 2013 - Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo, Paris, France, Nov 2014. 10.1051/snamc/201402505
D. L. Millman, D. P. Griesheimer, B. R. Nease, J. Snoeyink, D. Caruge, et al. “Computing Numerically-Optimal Bounding Boxes for Constructive Solid Geometry (CSG) Components in Monte Carlo Particle Transport Calculations”. in SNA + MC 2013 - Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo, Paris, France, Nov 2014. 10.1051/snamc/201402506
D. L. Millman, D. P. Griesheimer, B. R. Nease, J. Snoeyink. “Robust volume calculations for constructive solid geometry (CSG) components in Monte Carlo transport calculations”. Nov 2012.
M. Stich, H. Friedrich, A. Dietrich. “Spatial splits in bounding volume hierarchies”. in Proceedings of the 1st ACM conference on High Performance Graphics - HPG ‘09, New Orleans, Louisiana, Nov 2009. 10.1145/1572769.1572771
I. Wald. “On fast Construction of SAH-based Bounding Volume Hierarchies”. in 2007 IEEE Symposium on Interactive Ray Tracing, Ulm, Sep 2007. 10.1109/RT.2007.4342588
C. Ericson. “Real-Time Collision Detection”. CRC Press, Dec 2004. www.taylorfrancis.com
Martínez Morera, D, J. Estrada Sarlabous. “On the Distance from a Point to a Quadric Surface”. Investigacion Operacional, Nov 2003.
J. C. Hart. “Sphere tracing: a geometric method for the antialiased ray tracing of implicit surfaces”. The Visual Computer, Dec 1996. 10.1007/s003710050084
P. S. Heckbert. “Graphics gems IV”. AP Professional, Boston, Nov 1994.