Progressive Expectation-Maximization for Hierarchical Volumetric Photon Mapping
State‐of‐the‐art density estimation methods for rendering participating media rely on a dense photon representation of the radiance distribution within a scene. A critical bottleneck of such kernel‐based approaches is the excessive number of photons that are required in practice to resolve fine illu...
Gespeichert in:
| Veröffentlicht in: | Computer graphics forum Jg. 30; H. 4; S. 1287 - 1297 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Oxford, UK
Blackwell Publishing Ltd
01.06.2011
|
| Schlagworte: | |
| ISSN: | 0167-7055, 1467-8659 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | State‐of‐the‐art density estimation methods for rendering participating media rely on a dense photon representation of the radiance distribution within a scene. A critical bottleneck of such kernel‐based approaches is the excessive number of photons that are required in practice to resolve fine illumination details, while controlling the amount of noise. In this paper, we propose a parametric density estimation technique that represents radiance using a hierarchical Gaussian mixture. We efficiently obtain the coefficients of this mixture using a progressive and accelerated form of the Expectation‐Maximization algorithm. After this step, we are able to create noise‐free renderings of high‐frequency illumination using only a few thousand Gaussian terms, where millions of photons are traditionally required. Temporal coherence is trivially supported within this framework, and the compact footprint is also useful in the context of real‐time visualization. We demonstrate a hierarchical ray tracing‐based implementation, as well as a fast splatting approach that can interactively render animated volume caustics. |
|---|---|
| AbstractList | State‐of‐the‐art density estimation methods for rendering participating media rely on a dense photon representation of the radiance distribution within a scene. A critical bottleneck of such kernel‐based approaches is the excessive number of photons that are required in practice to resolve fine illumination details, while controlling the amount of noise. In this paper, we propose a parametric density estimation technique that represents radiance using a hierarchical Gaussian mixture. We efficiently obtain the coefficients of this mixture using a progressive and accelerated form of the Expectation‐Maximization algorithm. After this step, we are able to create noise‐free renderings of high‐frequency illumination using only a few thousand Gaussian terms, where millions of photons are traditionally required. Temporal coherence is trivially supported within this framework, and the compact footprint is also useful in the context of real‐time visualization. We demonstrate a hierarchical ray tracing‐based implementation, as well as a fast splatting approach that can interactively render animated volume caustics. Abstract State-of-the-art density estimation methods for rendering participating media rely on a dense photon representation of the radiance distribution within a scene. A critical bottleneck of such kernel-based approaches is the excessive number of photons that are required in practice to resolve fine illumination details, while controlling the amount of noise. In this paper, we propose a parametric density estimation technique that represents radiance using a hierarchical Gaussian mixture. We efficiently obtain the coefficients of this mixture using a progressive and accelerated form of the Expectation-Maximization algorithm. After this step, we are able to create noise-free renderings of high-frequency illumination using only a few thousand Gaussian terms, where millions of photons are traditionally required. Temporal coherence is trivially supported within this framework, and the compact footprint is also useful in the context of real-time visualization. We demonstrate a hierarchical ray tracing-based implementation, as well as a fast splatting approach that can interactively render animated volume caustics. [PUBLICATION ABSTRACT] |
| Author | Jakob, Wenzel Regg, Christian Jarosz, Wojciech |
| Author_xml | – sequence: 1 givenname: Wenzel surname: Jakob fullname: Jakob, Wenzel organization: Disney Research Zürich – sequence: 2 givenname: Christian surname: Regg fullname: Regg, Christian organization: Disney Research Zürich – sequence: 3 givenname: Wojciech surname: Jarosz fullname: Jarosz, Wojciech organization: Disney Research Zürich |
| BookMark | eNqNkE1v1DAQhi1UJLaF_xBx4ZTgcWLHOYCEVu1uRT9WaqFHyziT1ks2DnYW0v56nKbqoaf64hn5fUbj55AcdK5DQhKgGcTzeZtBIcpUCl5ljAJkFCops_ENWTw_HJAFhViXlPN35DCELaW0KAVfkMuNd7ceQ7B_MTkeezSDHqzr0nM92p19eGySxvlkbdFrb-6s0W3y07X7HQ7emmRz54YYOdd9b7vb9-Rto9uAH57uI_Lj5Ph6uU7PLleny29nqeacyhQBmlrkLOe0riQXvDEQWzACucS6kTxndSFZBcwYWYJkDQjUogbxq5FQ5Ufk0zy39-7PHsOgdjYYbFvdodsHVcXPs4LRIiY_vkhu3d53cTklS0kFlTCFvs4h410IHhtl7Cxi8Nq2CqiabKutmqSqSaqabKtH22qMA-SLAb23O-3vX4N-mdF_tsX7V3NquTqZqsinM2_DgOMzr_1vJcq85OrmYqXW6-9iw9mVusn_A5giqBM |
| CitedBy_id | crossref_primary_10_1145_3478513_3480547 crossref_primary_10_1111_cgf_70163 crossref_primary_10_1145_2601097_2601203 crossref_primary_10_1111_cgf_14052 crossref_primary_10_1111_cgf_13383 crossref_primary_10_1145_2897824_2925915 crossref_primary_10_1145_2963097 crossref_primary_10_1111_cgf_13883 crossref_primary_10_1145_3072959_2963097 crossref_primary_10_1145_2451236_2451242 crossref_primary_10_1007_s00371_012_0685_0 crossref_primary_10_1145_2766977 crossref_primary_10_1016_j_neucom_2015_12_135 crossref_primary_10_1016_j_neucom_2016_09_086 crossref_primary_10_1145_2601097_2601172 crossref_primary_10_1145_3272127_3275030 crossref_primary_10_1109_TVCG_2021_3106488 |
| Cites_doi | 10.1007/978-3-642-87825-1_11 10.1109/PG.2007.48 10.1145/1899404.1899409 10.1145/1073204.1073318 10.1145/127719.122740 10.1145/1409060.1409083 10.1007/978-3-7091-7484-5_10 10.1109/TVCG.2008.67 10.1145/1276377.1276412 10.1109/TVCG.2002.1021576 10.1109/RT.2008.4634626 10.1007/978-94-011-5014-9_12 10.1007/s10618-005-0033-3 10.1109/MCG.2004.7 10.1145/1360612.1360635 10.1007/978-3-7091-6303-0_2 10.1111/j.1467-8659.2008.01196.x 10.1109/2945.466719 10.1007/978-1-4899-3324-9 10.1145/1882261.1866170 10.1007/978-3-642-03070-3_8 10.1111/j.1467-8659.2009.01371.x 10.1111/j.2517-6161.1977.tb01600.x 10.1109/PCCGA.2004.1348345 10.1145/1141911.1141997 10.1145/1360612.1360636 10.1201/b10632 10.1111/j.1467-8659.2008.01153.x 10.1145/1321261.1321293 10.1145/344779.344940 10.1007/s00371-005-0287-1 10.1145/280814.280925 10.1145/127719.122748 |
| ContentType | Journal Article |
| Copyright | 2011 The Author(s) Computer Graphics Forum © 2011 The Eurographics Association and Blackwell Publishing Ltd. |
| Copyright_xml | – notice: 2011 The Author(s) Computer Graphics Forum © 2011 The Eurographics Association and Blackwell Publishing Ltd. |
| DBID | BSCLL AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D F28 FR3 |
| DOI | 10.1111/j.1467-8659.2011.01988.x |
| DatabaseName | Istex CrossRef Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ANTE: Abstracts in New Technology & Engineering Engineering Research Database |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional Engineering Research Database ANTE: Abstracts in New Technology & Engineering |
| DatabaseTitleList | Computer and Information Systems Abstracts CrossRef Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1467-8659 |
| EndPage | 1297 |
| ExternalDocumentID | 2402623081 10_1111_j_1467_8659_2011_01988_x CGF1988 ark_67375_WNG_HHK6P52S_W |
| Genre | article Feature |
| GroupedDBID | .3N .4S .DC .GA .Y3 05W 0R~ 10A 15B 1OB 1OC 29F 31~ 33P 3SF 4.4 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5GY 5HH 5LA 5VS 66C 6J9 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 8VB 930 A03 AAESR AAEVG AAHQN AAMMB AAMNL AANHP AANLZ AAONW AASGY AAXRX AAYCA AAZKR ABCQN ABCUV ABDBF ABDPE ABEML ABPVW ACAHQ ACBWZ ACCZN ACFBH ACGFS ACPOU ACRPL ACSCC ACUHS ACXBN ACXQS ACYXJ ADBBV ADEOM ADIZJ ADKYN ADMGS ADMLS ADNMO ADOZA ADXAS ADZMN AEFGJ AEGXH AEIGN AEIMD AEMOZ AENEX AEUYR AEYWJ AFBPY AFEBI AFFNX AFFPM AFGKR AFWVQ AFZJQ AGHNM AGQPQ AGXDD AGYGG AHBTC AHEFC AHQJS AIDQK AIDYY AIQQE AITYG AIURR AJXKR AKVCP ALAGY ALMA_UNASSIGNED_HOLDINGS ALVPJ AMBMR AMYDB ARCSS ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BSCLL BY8 CAG COF CS3 CWDTD D-E D-F DCZOG DPXWK DR2 DRFUL DRSTM DU5 EAD EAP EBA EBO EBR EBS EBU EDO EJD EMK EST ESX F00 F01 F04 F5P FEDTE FZ0 G-S G.N GODZA H.T H.X HF~ HGLYW HVGLF HZI HZ~ I-F IHE IX1 J0M K1G K48 LATKE LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 N9A NF~ O66 O9- OIG P2W P2X P4D PALCI PQQKQ Q.N Q11 QB0 QWB R.K RDJ RIWAO RJQFR ROL RX1 SAMSI SUPJJ TH9 TN5 TUS UB1 V8K W8V W99 WBKPD WIH WIK WOHZO WQJ WXSBR WYISQ WZISG XG1 ZL0 ZZTAW ~IA ~IF ~WT ALUQN AAYXX CITATION O8X 7SC 8FD JQ2 L7M L~C L~D F28 FR3 |
| ID | FETCH-LOGICAL-a5508-e11fd632350d98565fc16321c6e58edf8532d482912cc87182f16ea6d16bf8193 |
| IEDL.DBID | DRFUL |
| ISICitedReferencesCount | 17 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000292884700014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0167-7055 |
| IngestDate | Thu Oct 02 04:58:05 EDT 2025 Sun Nov 30 05:21:36 EST 2025 Sat Nov 29 08:13:35 EST 2025 Tue Nov 18 22:02:27 EST 2025 Sun Sep 21 06:27:05 EDT 2025 Tue Nov 11 03:28:11 EST 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a5508-e11fd632350d98565fc16321c6e58edf8532d482912cc87182f16ea6d16bf8193 |
| Notes | istex:76CE68640BD530CF587F5DD1221ABBB2F771B44E ArticleID:CGF1988 ark:/67375/WNG-HHK6P52S-W SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 |
| OpenAccessLink | http://infoscience.epfl.ch/record/220035 |
| PQID | 878060814 |
| PQPubID | 30877 |
| PageCount | 11 |
| ParticipantIDs | proquest_miscellaneous_914624204 proquest_journals_878060814 crossref_citationtrail_10_1111_j_1467_8659_2011_01988_x crossref_primary_10_1111_j_1467_8659_2011_01988_x wiley_primary_10_1111_j_1467_8659_2011_01988_x_CGF1988 istex_primary_ark_67375_WNG_HHK6P52S_W |
| PublicationCentury | 2000 |
| PublicationDate | June 2011 |
| PublicationDateYYYYMMDD | 2011-06-01 |
| PublicationDate_xml | – month: 06 year: 2011 text: June 2011 |
| PublicationDecade | 2010 |
| PublicationPlace | Oxford, UK |
| PublicationPlace_xml | – name: Oxford, UK – name: Oxford |
| PublicationTitle | Computer graphics forum |
| PublicationYear | 2011 |
| Publisher | Blackwell Publishing Ltd |
| Publisher_xml | – name: Blackwell Publishing Ltd |
| References | Spencer B., Jones M. W.: Hierarchical photon mapping. IEEE Transactions on Visualization and Computer Graphics 15, 1 (Jan.Feb. 2009), 49-61. 2. Hasan B. A. S., Gan J.: Sequential EM for unsupervised adaptive Gaussian mixture model based classifier. In Machine Learning and Data Mining in Pattern Recognition, vol. 5632. 2009, pp. 96-106. 2. Sillion F. X.: A unified hierarchical algorithm for global illumination with scattering volumes and object clusters. IEEE Transactions on Visualization and Computer Graphics 1, 3 (1995). 2. Zhou K., Ren Z., Lin S., Bao H., Guo B., Shum H.-Y.: Real-time smoke rendering using compensated ray marching. ACM Transactions on Graphics. 27, 3 (2008). 2, 6. Lehtinen J., Zwicker M., Turquin E., Kontkanen J., Durand F., Sillion F. X., Aila T.: A meshless hierarchical representation for light transport. ACM Transactions on Graphics 27, 3 (Aug. 2008), 37:1-37:9. 2. Neal R., Hinton G.: A view of the EM algorithm that justifies incremental, sparse, and other variants. Learning in graphical models 89 (1998), 355-368. 2, 4. Hachisuka T., Jarosz W., Jensen H. W.: A progressive error estimation framework for photon density estimation. ACM Transactions on Graphics. 29 (December 2010). 10. Verbeek J. J., Nunnink J. R., Vlassis N.: Accelerated EM-based clustering of large data sets. Data Mining and Knowledge Discovery 13, 3 (November 2006), 291-307. 2, 4. Goldberger J., Roweis S.: Hierarchical clustering of a mixture model. Advances in Neural Information Processing Systems 17, 505-512 (2005), 2-4. 2, 7. Tan P., Lin S., Quan L., Guo B., Shum H.-Y.: Multiresolution reflectance filtering. In Proceedings Eurographics Symposium on Rendering 2005 (2005), pp. 111-116. 2, 9. Jarosz W., Nowrouzezahrai D., Sadeghi I., Jensen H. W.: A comprehensive theory of volumetric radiance estimation using photon points and beams. ACM Transactions on Graphics 30, 1 (Jan. 2011), 5:1-5:19. 3, 9. Schjøth L., Sporring J., Olsen O. F.: Diffusion based photon mapping. Computer Graphics Forum 27, 8 (Dec. 2008), 2114-2127. 2. Spencer B., Jones M. W.: Into the blue: Better caustics through photon relaxation. Computer Graphics Forum 28, 2 (Apr. 2009), 319-328. 2. Jarosz W., Zwicker M., Jensen H. W.: The beam radiance estimate for volumetric photon mapping. Computer Graphics Forum 27, 2 (Apr. 2008). 1, 3. Chandrasekhar S.: Radiative Transfer. Dover Publications, New York , 1960. 2. Dutré P., Bala K., Bekaert P.: Advanced global illumination. AK Peters Ltd, 2006. 2. Papas M., Jarosz W., Jakob W., Rusinkiewicz S., Matusik W., Weyrich T.: Goal-based caustics. Computer Graphics Forum (Proceedings of Eurographics '11) 30, 2 (June 2011). 2. Zwicker M., Pfister H., Van Baar J., Gross M.: EWA splatting. IEEE Transactions on Visualization and Computer Graphics 8, 3 (JulySept. 2002), 223-238. 2. Cerezo E., Pérez F., Pueyo X., Seron F. J., Sillion F. X.: A survey on participating media rendering techniques. The Visual Computer 21, 5 (2005). 1. Hopf M., Luttenberger M., Ertl T.: Hierarchical splatting of scattered 4d data. IEEE Computer Graphics and Applications 24 (July 2004), 64-72. 2. Walter B., Arbree A., Bala K., Greenberg D. P.: Multidimensional lightcuts. ACM Transactions on Graphics. 25, 3 (2006). 1, 2. Han C., Sun B., Ramamoorthi R., Grinspun E.: Frequency domain normal map filtering. ACM Transactions on Graphics. 26, 3 (2007). 2, 9. Walter B., Fernandez S., Arbree A., Bala K., Donikian M., Greenberg D. P.: Lightcuts: a scalable approach to illumination. ACM Transactions on Graphics. 24, 3 (Aug. 2005). 2. Hachisuka T., Ogaki S., Jensen H. W.: Progressive photon mapping. ACM Transactions on Graphics 27, 5 (Dec. 2008), 130:1-130:8. 2, 10. Dempster A., Laird N., Rubin D., et al.: Maximum likelihood from incomplete data via the em algorithm. Journal of the Royal Statistical Society. 39, 1 (1977), 1-38. 2. Hanrahan P., Salzman D., Aupperle L.: A rapid hierarchical radiosity algorithm. In Computer Graphics (Proceedings of SIGGRAPH 91) (July 1991), pp. 197-206. 2. July 2000 Aug. 2005; 24 July 1998 Jan.Feb. 2009; 15 July 1991 June 1996 June 2004 2007 2005; 21 2006 June 2011; 30 1994 1993 2003 Apr. 2008; 27 1995; 1 1998; 89 2005; 2005 Apr. 2009; 28 July 2004; 24 1977; 39 Oct. 2004 Jan. 2011; 30 Aug. 2008; 27 JulySept. 2002; 8 June 2000 2006; 25 August 2008 2008; 27 Dec. 2008; 27 1986 1960 December 2010; 29 November 2006; 13 2005; 17 July 1991; 91 2009; 5632 2007; 26 e_1_2_12_2_2 e_1_2_12_5_2 e_1_2_12_4_2 e_1_2_12_19_2 e_1_2_12_18_2 e_1_2_12_17_2 e_1_2_12_16_2 e_1_2_12_37_2 e_1_2_12_38_2 e_1_2_12_39_2 Hanrahan P. (e_1_2_12_15_2) 1991; 91 e_1_2_12_41_2 e_1_2_12_40_2 Goldberger J. (e_1_2_12_9_2) 2005; 17 e_1_2_12_20_2 e_1_2_12_21_2 e_1_2_12_42_2 e_1_2_12_22_2 e_1_2_12_23_2 e_1_2_12_24_2 Tan P. (e_1_2_12_34_2) 2005; 2005 Papas M. (e_1_2_12_25_2) 2011; 30 e_1_2_12_26_2 e_1_2_12_27_2 Dempster A. (e_1_2_12_6_2) 1977; 39 e_1_2_12_28_2 e_1_2_12_29_2 Chandrasekhar S. (e_1_2_12_3_2) 1960 e_1_2_12_30_2 e_1_2_12_31_2 e_1_2_12_32_2 e_1_2_12_33_2 e_1_2_12_35_2 e_1_2_12_36_2 e_1_2_12_14_2 e_1_2_12_13_2 e_1_2_12_12_2 e_1_2_12_11_2 e_1_2_12_7_2 e_1_2_12_10_2 e_1_2_12_8_2 |
| References_xml | – reference: Hasan B. A. S., Gan J.: Sequential EM for unsupervised adaptive Gaussian mixture model based classifier. In Machine Learning and Data Mining in Pattern Recognition, vol. 5632. 2009, pp. 96-106. 2. – reference: Jarosz W., Zwicker M., Jensen H. W.: The beam radiance estimate for volumetric photon mapping. Computer Graphics Forum 27, 2 (Apr. 2008). 1, 3. – reference: Hachisuka T., Ogaki S., Jensen H. W.: Progressive photon mapping. ACM Transactions on Graphics 27, 5 (Dec. 2008), 130:1-130:8. 2, 10. – reference: Hanrahan P., Salzman D., Aupperle L.: A rapid hierarchical radiosity algorithm. In Computer Graphics (Proceedings of SIGGRAPH 91) (July 1991), pp. 197-206. 2. – reference: Hachisuka T., Jarosz W., Jensen H. W.: A progressive error estimation framework for photon density estimation. ACM Transactions on Graphics. 29 (December 2010). 10. – reference: Dutré P., Bala K., Bekaert P.: Advanced global illumination. AK Peters Ltd, 2006. 2. – reference: Spencer B., Jones M. W.: Hierarchical photon mapping. IEEE Transactions on Visualization and Computer Graphics 15, 1 (Jan.Feb. 2009), 49-61. 2. – reference: Zhou K., Ren Z., Lin S., Bao H., Guo B., Shum H.-Y.: Real-time smoke rendering using compensated ray marching. ACM Transactions on Graphics. 27, 3 (2008). 2, 6. – reference: Papas M., Jarosz W., Jakob W., Rusinkiewicz S., Matusik W., Weyrich T.: Goal-based caustics. Computer Graphics Forum (Proceedings of Eurographics '11) 30, 2 (June 2011). 2. – reference: Walter B., Fernandez S., Arbree A., Bala K., Donikian M., Greenberg D. P.: Lightcuts: a scalable approach to illumination. ACM Transactions on Graphics. 24, 3 (Aug. 2005). 2. – reference: Cerezo E., Pérez F., Pueyo X., Seron F. J., Sillion F. X.: A survey on participating media rendering techniques. The Visual Computer 21, 5 (2005). 1. – reference: Sillion F. X.: A unified hierarchical algorithm for global illumination with scattering volumes and object clusters. IEEE Transactions on Visualization and Computer Graphics 1, 3 (1995). 2. – reference: Walter B., Arbree A., Bala K., Greenberg D. P.: Multidimensional lightcuts. ACM Transactions on Graphics. 25, 3 (2006). 1, 2. – reference: Zwicker M., Pfister H., Van Baar J., Gross M.: EWA splatting. IEEE Transactions on Visualization and Computer Graphics 8, 3 (JulySept. 2002), 223-238. 2. – reference: Schjøth L., Sporring J., Olsen O. F.: Diffusion based photon mapping. Computer Graphics Forum 27, 8 (Dec. 2008), 2114-2127. 2. – reference: Goldberger J., Roweis S.: Hierarchical clustering of a mixture model. Advances in Neural Information Processing Systems 17, 505-512 (2005), 2-4. 2, 7. – reference: Spencer B., Jones M. W.: Into the blue: Better caustics through photon relaxation. Computer Graphics Forum 28, 2 (Apr. 2009), 319-328. 2. – reference: Tan P., Lin S., Quan L., Guo B., Shum H.-Y.: Multiresolution reflectance filtering. In Proceedings Eurographics Symposium on Rendering 2005 (2005), pp. 111-116. 2, 9. – reference: Dempster A., Laird N., Rubin D., et al.: Maximum likelihood from incomplete data via the em algorithm. Journal of the Royal Statistical Society. 39, 1 (1977), 1-38. 2. – reference: Neal R., Hinton G.: A view of the EM algorithm that justifies incremental, sparse, and other variants. Learning in graphical models 89 (1998), 355-368. 2, 4. – reference: Lehtinen J., Zwicker M., Turquin E., Kontkanen J., Durand F., Sillion F. X., Aila T.: A meshless hierarchical representation for light transport. ACM Transactions on Graphics 27, 3 (Aug. 2008), 37:1-37:9. 2. – reference: Hopf M., Luttenberger M., Ertl T.: Hierarchical splatting of scattered 4d data. IEEE Computer Graphics and Applications 24 (July 2004), 64-72. 2. – reference: Han C., Sun B., Ramamoorthi R., Grinspun E.: Frequency domain normal map filtering. ACM Transactions on Graphics. 26, 3 (2007). 2, 9. – reference: Jarosz W., Nowrouzezahrai D., Sadeghi I., Jensen H. W.: A comprehensive theory of volumetric radiance estimation using photon points and beams. ACM Transactions on Graphics 30, 1 (Jan. 2011), 5:1-5:19. 3, 9. – reference: Verbeek J. J., Nunnink J. R., Vlassis N.: Accelerated EM-based clustering of large data sets. Data Mining and Knowledge Discovery 13, 3 (November 2006), 291-307. 2, 4. – reference: Chandrasekhar S.: Radiative Transfer. Dover Publications, New York , 1960. 2. – volume: 29 year: December 2010 article-title: A progressive error estimation framework for photon density estimation publication-title: ACM Transactions on Graphics. – year: 1960 – volume: 5632 start-page: 96 year: 2009 end-page: 106 article-title: Sequential EM for unsupervised adaptive Gaussian mixture model based classifier publication-title: Machine Learning and Data Mining in Pattern Recognition – volume: 91 start-page: 197 year: July 1991 end-page: 206 article-title: A rapid hierarchical radiosity algorithm publication-title: Computer Graphics (Proceedings of SIGGRAPH – volume: 30 start-page: 5:1 issue: 1 year: Jan. 2011 end-page: 5:19 article-title: A comprehensive theory of volumetric radiance estimation using photon points and beams publication-title: ACM Transactions on Graphics – start-page: 285 year: July 1991 end-page: 288 – volume: 39 start-page: 1 issue: 1 year: 1977 end-page: 38 article-title: Maximum likelihood from incomplete data via the em algorithm publication-title: Journal of the Royal Statistical Society. – volume: 26 issue: 3 year: 2007 article-title: Frequency domain normal map filtering publication-title: ACM Transactions on Graphics. – year: 2003 – start-page: 133 year: June 2004 end-page: 142 – volume: 15 start-page: 49 issue: 1 year: Jan.Feb. 2009 end-page: 61 article-title: Hierarchical photon mapping publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 1 issue: 3 year: 1995 article-title: A unified hierarchical algorithm for global illumination with scattering volumes and object clusters publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 27 start-page: 130:1 issue: 5 year: Dec. 2008 end-page: 130:8 article-title: Progressive photon mapping publication-title: ACM Transactions on Graphics – volume: 27 start-page: 37:1 issue: 3 year: Aug. 2008 end-page: 37:9 article-title: A meshless hierarchical representation for light transport publication-title: ACM Transactions on Graphics – volume: 2005 start-page: 111 year: 2005 end-page: 116 article-title: Multiresolution reflectance filtering publication-title: Proceedings Eurographics Symposium on Rendering – start-page: 81 year: August 2008 end-page: 86 – volume: 17 start-page: 2 issue: 505–512 year: 2005 end-page: 4 article-title: Hierarchical clustering of a mixture model publication-title: Advances in Neural Information Processing Systems – start-page: 91 year: June 1996 end-page: 100 – year: 1994 – volume: 30 issue: 2 year: June 2011 article-title: Goal‐based caustics publication-title: Computer Graphics Forum (Proceedings of Eurographics '11) – volume: 89 start-page: 355 year: 1998 end-page: 368 article-title: A view of the EM algorithm that justifies incremental, sparse, and other variants publication-title: Learning in graphical models – year: July 1998 – start-page: 179 year: 2007 end-page: 186 – year: 1986 – volume: 13 start-page: 291 issue: 3 year: November 2006 end-page: 307 article-title: Accelerated EM‐based clustering of large data sets publication-title: Data Mining and Knowledge Discovery – start-page: 343 year: July 2000 end-page: 352 – start-page: 116 year: 2007 end-page: 125 – volume: 21 issue: 5 year: 2005 article-title: A survey on participating media rendering techniques publication-title: The Visual Computer – start-page: 11 year: June 2000 end-page: 22 – year: 2006 – volume: 27 issue: 3 year: 2008 article-title: Real‐time smoke rendering using compensated ray marching publication-title: ACM Transactions on Graphics. – start-page: 152 year: Oct. 2004 end-page: 159 – volume: 27 start-page: 2114 issue: 8 year: Dec. 2008 end-page: 2127 article-title: Diffusion based photon mapping publication-title: Computer Graphics Forum – volume: 28 start-page: 319 issue: 2 year: Apr. 2009 end-page: 328 article-title: Into the blue: Better caustics through photon relaxation publication-title: Computer Graphics Forum – volume: 24 start-page: 64 year: July 2004 end-page: 72 article-title: Hierarchical splatting of scattered 4d data publication-title: IEEE Computer Graphics and Applications – volume: 25 issue: 3 year: 2006 article-title: Multidimensional lightcuts publication-title: ACM Transactions on Graphics. – year: 1993 – volume: 24 issue: 3 year: Aug. 2005 article-title: Lightcuts: a scalable approach to illumination publication-title: ACM Transactions on Graphics. – volume: 27 issue: 2 year: Apr. 2008 article-title: The beam radiance estimate for volumetric photon mapping publication-title: Computer Graphics Forum – volume: 8 start-page: 223 issue: 3 year: JulySept. 2002 end-page: 238 article-title: EWA splatting publication-title: IEEE Transactions on Visualization and Computer Graphics – ident: e_1_2_12_35_2 doi: 10.1007/978-3-642-87825-1_11 – ident: e_1_2_12_40_2 doi: 10.1109/PG.2007.48 – volume: 2005 start-page: 111 year: 2005 ident: e_1_2_12_34_2 article-title: Multiresolution reflectance filtering publication-title: Proceedings Eurographics Symposium on Rendering – ident: e_1_2_12_18_2 doi: 10.1145/1899404.1899409 – ident: e_1_2_12_39_2 doi: 10.1145/1073204.1073318 – volume: 91 start-page: 197 year: 1991 ident: e_1_2_12_15_2 article-title: A rapid hierarchical radiosity algorithm publication-title: Computer Graphics (Proceedings of SIGGRAPH doi: 10.1145/127719.122740 – volume-title: Radiative Transfer year: 1960 ident: e_1_2_12_3_2 – ident: e_1_2_12_14_2 doi: 10.1145/1409060.1409083 – ident: e_1_2_12_22_2 doi: 10.1007/978-3-7091-7484-5_10 – ident: e_1_2_12_31_2 doi: 10.1109/TVCG.2008.67 – ident: e_1_2_12_16_2 doi: 10.1145/1276377.1276412 – ident: e_1_2_12_41_2 doi: 10.1109/TVCG.2002.1021576 – ident: e_1_2_12_38_2 doi: 10.1109/RT.2008.4634626 – ident: e_1_2_12_10_2 – ident: e_1_2_12_24_2 doi: 10.1007/978-94-011-5014-9_12 – ident: e_1_2_12_36_2 doi: 10.1007/s10618-005-0033-3 – ident: e_1_2_12_13_2 doi: 10.1109/MCG.2004.7 – ident: e_1_2_12_2_2 – ident: e_1_2_12_42_2 doi: 10.1145/1360612.1360635 – volume: 17 start-page: 2 issue: 505 year: 2005 ident: e_1_2_12_9_2 article-title: Hierarchical clustering of a mixture model publication-title: Advances in Neural Information Processing Systems – ident: e_1_2_12_26_2 doi: 10.1007/978-3-7091-6303-0_2 – ident: e_1_2_12_33_2 doi: 10.1111/j.1467-8659.2008.01196.x – ident: e_1_2_12_30_2 doi: 10.1109/2945.466719 – ident: e_1_2_12_21_2 – ident: e_1_2_12_29_2 doi: 10.1007/978-1-4899-3324-9 – ident: e_1_2_12_12_2 doi: 10.1145/1882261.1866170 – ident: e_1_2_12_11_2 doi: 10.1007/978-3-642-03070-3_8 – ident: e_1_2_12_32_2 doi: 10.1111/j.1467-8659.2009.01371.x – volume: 39 start-page: 1 issue: 1 year: 1977 ident: e_1_2_12_6_2 article-title: Maximum likelihood from incomplete data via the em algorithm publication-title: Journal of the Royal Statistical Society. doi: 10.1111/j.2517-6161.1977.tb01600.x – ident: e_1_2_12_7_2 doi: 10.1109/PCCGA.2004.1348345 – ident: e_1_2_12_37_2 doi: 10.1145/1141911.1141997 – ident: e_1_2_12_23_2 doi: 10.1145/1360612.1360636 – volume: 30 issue: 2 year: 2011 ident: e_1_2_12_25_2 article-title: Goal‐based caustics publication-title: Computer Graphics Forum (Proceedings of Eurographics '11) – ident: e_1_2_12_5_2 doi: 10.1201/b10632 – ident: e_1_2_12_19_2 doi: 10.1111/j.1467-8659.2008.01153.x – ident: e_1_2_12_28_2 doi: 10.1145/1321261.1321293 – ident: e_1_2_12_8_2 – ident: e_1_2_12_27_2 doi: 10.1145/344779.344940 – ident: e_1_2_12_4_2 doi: 10.1007/s00371-005-0287-1 – ident: e_1_2_12_17_2 doi: 10.1145/280814.280925 – ident: e_1_2_12_20_2 doi: 10.1145/127719.122748 |
| SSID | ssj0004765 |
| Score | 2.1693404 |
| Snippet | State‐of‐the‐art density estimation methods for rendering participating media rely on a dense photon representation of the radiance distribution within a... Abstract State-of-the-art density estimation methods for rendering participating media rely on a dense photon representation of the radiance distribution... State-of-the-art density estimation methods for rendering participating media rely on a dense photon representation of the radiance distribution within a... |
| SourceID | proquest crossref wiley istex |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1287 |
| SubjectTerms | Algorithms Atoms & subatomic particles Caustics Computer graphics Density Gaussian I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism-Ray Tracing I.6.8 [Simulation and Modeling]: Simulation-Monte Carlo Illumination Mapping Photons Radiance Rendering Studies |
| Title | Progressive Expectation-Maximization for Hierarchical Volumetric Photon Mapping |
| URI | https://api.istex.fr/ark:/67375/WNG-HHK6P52S-W/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1111%2Fj.1467-8659.2011.01988.x https://www.proquest.com/docview/878060814 https://www.proquest.com/docview/914624204 |
| Volume | 30 |
| WOSCitedRecordID | wos000292884700014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVWIB databaseName: Wiley Online Library - Journals customDbUrl: eissn: 1467-8659 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004765 issn: 0167-7055 databaseCode: DRFUL dateStart: 19970101 isFulltext: true titleUrlDefault: https://onlinelibrary.wiley.com providerName: Wiley-Blackwell |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LTwIxEG6MeNCDbyOipgfjbc12H93u0aBAohB8INya0u0qUcGAEo7-BH-jv8SZ3QUheiDGW5Pd2ce0034znX5DyJF27QjWBWVxjqEbL_YsZZiwBHgsbRZw2_XipNhEUKuJViusZ_lPeBYm5YeYBNzQMpL5Gg1ctQc_jVxwP8yYOMF_FieAJ3MODGMY87mz61Lj8vuUZMD9MdM3csjM5vX8-qyZxSqHeh_NINFpPJssSKW1__yVdbKawVJ6mo6jDbJguptkZYqscItc1TGVC7Nmh4YiQ7JOd_E_3z-qatR5zg50UkDBtNLBc81JmZUnepdMgFgJgNYfeoA1aVUhK8T9NmmUzm-LFSsryGApcGSEZRiLI-46rm9HoQAoGGuAcw7T3PjCRDEs_U7kCSdkjtbgiQknZtwoHjHejgF6uDtksdvrml1C21HogXjEbR160FYAM3WsAMBwpoXw8yQYa17qjK0ci2Y8yRmvJZCoNIlKk4nS5ChP2ETyJWXsmEPmOOnciYDqP2LGW-DLZq0sK5ULXvedG9nMk8K492Vm7AMpAmFzgFZentDJVbBS3HpRXdN7G8gQ3gtgyIZbeDIS5v40WSyXsLX3V8ECWU7j4Bg52ieLr_03c0CW9PC1M-gfZkbyBZAjDi0 |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LT9tAEB5VCRLtASi0anjuoeJm5LXX6_URAcGIJEpbXrfVZr0uETSpEkA58hP6G_tLmLGdlKgcUNXbSvb4Mbuz-83szjcAn23oZ7guGE9KCt2IXHjGceUp9Fh6PJZ-KPKi2ETc6airq6RblQOiXJiSH2IWcCPLKOZrMnAKSP9t5UpGSUXFiQ602kNAWRc4qkQN6odfm-etP2mSsYymVN9EIjN_sOfFZ82tVnVS_GQOij4HtMWK1Fz-r_-yAksVMGX75Uh6D2_cYBXePaMrXIMvXTrMRedmHxwjjmRb7uP_fvzVNpP-jyqlkyEOZmmfMpuLQiu37KKYAqkWAOteDxFtsrYhXojvH-C8eXR2kHpVSQbPoCujPMd5nskwCCM_SxSCwdwioAu4lS5SLstx8Q8yoYKEB9aiL6aCnEtnZMZlL0fwEX6E2mA4cJ-A9bJEoHgmfZsIbBsEmjY3CGEkt0pFDYinqte24iunshm3es5viTUpTZPSdKE0PWkAn0n-LDk7XiGzW_TuTMCMbujMWxzpy86xTtNT2Y2Cb_qyARvT7teVuY-1ipUvEVyJBrDZVbRT2nwxAze8H-sE34twyMdbZDEUXv1p-uC4Sa31fxXcgcX0rN3SrZPO6Qa8LaPiFEfahNrd6N5twYJ9uOuPR9uVxTwBzpkSHQ |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LTxsxEB6hBFXtoYW2iJSW-lD1ttV6H17vEQFLKiBa2lK4WY4fbQRNUAIoR35Cf2N_CTO7m0DUHlDFzdLu7GPs8Xxjj78B-GDi0KJf0IEQtHST-CTQjstAYsTS55kI48RXxSayXk-enuZlUw6IzsLU_BDzBTeyjGq-JgN3F9b_beVSpHlDxYkBtPyEgLKdpAjMW9De-VIcH9wdk8xEOqP6JhKZxcSefz5rwVu1SfHTBSh6H9BWHql48aj_sgLPG2DKtuqRtApLbvgSnt2jK3wFRyUlc1He7LVjxJFs6n38Pze_D_V08Ks50skQB7PugE42V4VWztn3agqkWgCs_DlCtMkONfFC_HgNx8Xut-1u0JRkCDSGMjJwnHsr4ihOQ5tLBIPeIKCLuBEulc56dP6RTWSU88gYjMVk5LlwWlgu-h7BR7wGreFo6NaB9W2eoLgVockTbGsEmsZrhDCCGynTDmQz1SvT8JVT2YxztRC3ZIqUpkhpqlKamnaAzyUvas6OB8h8rHp3LqDHZ5TzlqXqpLenut19UabRV3XSgY1Z96vG3CdKZjIUCK6SDrD5VbRT2nzRQze6mqgc34twKMRbRDUUHvxpanuvoNab_xV8D0_KnUIdfO7tb8DTelGclpHeQutyfOXewbK5vhxMxpuNwdwCO_ERmA |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Progressive+Expectation%E2%80%90Maximization+for+Hierarchical+Volumetric+Photon+Mapping&rft.jtitle=Computer+graphics+forum&rft.au=Jakob%2C+Wenzel&rft.au=Regg%2C+Christian&rft.au=Jarosz%2C+Wojciech&rft.date=2011-06-01&rft.pub=Blackwell+Publishing+Ltd&rft.issn=0167-7055&rft.eissn=1467-8659&rft.volume=30&rft.issue=4&rft.spage=1287&rft.epage=1297&rft_id=info:doi/10.1111%2Fj.1467-8659.2011.01988.x&rft.externalDBID=10.1111%252Fj.1467-8659.2011.01988.x&rft.externalDocID=CGF1988 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0167-7055&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0167-7055&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0167-7055&client=summon |