Description and Solution of an Unreported Intrinsic Bias in Photon Mapping Density Estimation with Constant Kernel
This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant kernel overestimates the correct value. We propose a new estimator that solves this problem and provide both theoretical and empirical studies...
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| Vydáno v: | Computer graphics forum Ročník 31; číslo 1; s. 33 - 41 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Oxford, UK
Blackwell Publishing Ltd
01.02.2012
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| ISSN: | 0167-7055, 1467-8659 |
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| Abstract | This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant kernel overestimates the correct value. We propose a new estimator that solves this problem and provide both theoretical and empirical studies to verify it. |
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| AbstractList | This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant kernel overestimates the correct value. We propose a new estimator that solves this problem and provide both theoretical and empirical studies to verify it. Abstract This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant kernel overestimates the correct value. We propose a new estimator that solves this problem and provide both theoretical and empirical studies to verify it. [PUBLICATION ABSTRACT] |
| Author | Ureña, C. García, R. Sbert, M. |
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| References | Hey H., Purgathofer W.: Advanced radiance estimation for photon map global illumination. Computer Graphics Forum 21, 3 (2002), 541-546. Silverman B. W.: Density Estimation for Statistics and Data Analysis (2nd edition). Chapman and Hall/CRC (Chapman & Hall/CRC Monographs on Statistics & Applied Probability), London , UK , 1998. David H., Nagaraja H.: Order Statistics. Wiley Interscience, Hoboken , NJ , USA , 2003. Roland S.: Bias compensation for photon maps. Computer Graphics Forum 22, 4 (2003), 729-742. Silverman B. W.: Density Estimation for Statistics and Data Analysis (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) (1st edition) Chapman and Hall/CRC, London , UK , April 1986. Silverman B. W.: Density Estimation for Statistics and Data Analysis (reprinted edition). Chapman and Hall/CRC (Chapman & Hall/CRC Monographs on Statistics & Applied Probability 26), London , UK , 1990. Jensen H. W.: Realistic Image Synthesis using Photon Mapping. AK Peters, Natick , MA , USA , 2001. Walter B., Hubbard P. M., Shirley P., Greenberg D. P.: Global illumination using local linear density estimation. ACM Transactions on Graphics 16, 3 (July 1997), 217-259. 2001 1990 1998 1986 2002; 3 1996 2003; 4 2005 2003 2002 2008; 2 1997; 3 2007; 26 e_1_2_10_9_2 e_1_2_10_11_2 e_1_2_10_8_2 Silverman B. W. (e_1_2_10_16_2) 1998 Silverman B. W. (e_1_2_10_15_2) 1990 Jarosz W. (e_1_2_10_10_2) 2008 Czuczor S. (e_1_2_10_2_2) 2005 Lastra M. (e_1_2_10_12_2) 2002 Silverman B. W. (e_1_2_10_14_2) 1986 Herzog R. (e_1_2_10_5_2) 2007 e_1_2_10_3_2 Walter B. J. (e_1_2_10_17_2) 1998 e_1_2_10_18_2 e_1_2_10_4_2 e_1_2_10_7_2 e_1_2_10_13_2 e_1_2_10_6_2 |
| References_xml | – reference: Silverman B. W.: Density Estimation for Statistics and Data Analysis (reprinted edition). Chapman and Hall/CRC (Chapman & Hall/CRC Monographs on Statistics & Applied Probability 26), London , UK , 1990. – reference: Silverman B. W.: Density Estimation for Statistics and Data Analysis (2nd edition). Chapman and Hall/CRC (Chapman & Hall/CRC Monographs on Statistics & Applied Probability), London , UK , 1998. – reference: Walter B., Hubbard P. M., Shirley P., Greenberg D. P.: Global illumination using local linear density estimation. ACM Transactions on Graphics 16, 3 (July 1997), 217-259. – reference: Silverman B. W.: Density Estimation for Statistics and Data Analysis (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) (1st edition) Chapman and Hall/CRC, London , UK , April 1986. – reference: Jensen H. W.: Realistic Image Synthesis using Photon Mapping. AK Peters, Natick , MA , USA , 2001. – reference: Roland S.: Bias compensation for photon maps. Computer Graphics Forum 22, 4 (2003), 729-742. – reference: David H., Nagaraja H.: Order Statistics. Wiley Interscience, Hoboken , NJ , USA , 2003. – reference: Hey H., Purgathofer W.: Advanced radiance estimation for photon map global illumination. Computer Graphics Forum 21, 3 (2002), 541-546. – year: 1986 – volume: 3 start-page: 541 year: 2002 end-page: 546 article-title: Advanced radiance estimation for photon map global illumination publication-title: Computer Graphics Forum 21 – volume: 2 start-page: 557 year: 2008 end-page: 566 – volume: 4 start-page: 729 year: 2003 end-page: 742 article-title: Bias compensation for photon maps publication-title: Computer Graphics Forum 22 – start-page: 117 year: 2005 end-page: 120 – year: 2001 – year: 2003 – start-page: 33 year: 2002 end-page: 40 – start-page: 43 year: 2005 end-page: 54 – start-page: 311 year: 1998 end-page: 320 – volume: 3 start-page: 217 year: 1997 end-page: 259 article-title: Global illumination using local linear density estimation publication-title: ACM Transactions on Graphics 16 – start-page: 21 year: 1996 end-page: 30 – volume: 26 start-page: 503 issue: 3 year: 2007 end-page: 513 – year: 1990 – start-page: 163 year: 2002 end-page: 172 – year: 1998 – start-page: 33 volume-title: The 13th Eurographics Workshop on Rendering. Poster Papers Proceedings year: 2002 ident: e_1_2_10_12_2 – ident: e_1_2_10_18_2 doi: 10.1145/256157.256158 – start-page: 503 volume-title: Computer Graphics Forum (Proceedings of Eurographics) year: 2007 ident: e_1_2_10_5_2 – volume-title: Density Estimation for Statistics and Data Analysis year: 1998 ident: e_1_2_10_16_2 – ident: e_1_2_10_8_2 doi: 10.1007/978-3-7091-7484-5_3 – start-page: 117 volume-title: EG Short Presentations. year: 2005 ident: e_1_2_10_2_2 – ident: e_1_2_10_4_2 – ident: e_1_2_10_13_2 doi: 10.1111/j.1467-8659.2003.00720.x – ident: e_1_2_10_11_2 – volume-title: Density Estimation Techniques for Global Illumination year: 1998 ident: e_1_2_10_17_2 – ident: e_1_2_10_9_2 doi: 10.1201/b10685 – ident: e_1_2_10_7_2 doi: 10.1145/280814.280925 – volume-title: Density Estimation for Statistics and Data Analysis year: 1990 ident: e_1_2_10_15_2 – ident: e_1_2_10_6_2 doi: 10.1111/1467-8659.00704 – start-page: 557 volume-title: Computer Graphics Forum (Proceedings of Eurographics ’08) 27 year: 2008 ident: e_1_2_10_10_2 – volume-title: Density Estimation for Statistics and Data Analysis (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) year: 1986 ident: e_1_2_10_14_2 – ident: e_1_2_10_3_2 doi: 10.1002/0471722162 |
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| Snippet | This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant... Abstract This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a... |
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| SubjectTerms | Algorithms Analysis Computer graphics Density Empirical analysis Estimators F.2.2 [Analysis of Algorithms and Problem Complexity]: Non-numerical Algorithms and Problems G.3 [Probability and Statistics] I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism Image processing systems Kernels Mapping Mathematical models Photons Studies |
| Title | Description and Solution of an Unreported Intrinsic Bias in Photon Mapping Density Estimation with Constant Kernel |
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