20110326 CG・CVにおける散乱
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20110326 CG・CVにおける散乱

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玉木 徹 : ...

玉木 徹 :
「CG・CVにおける散乱」,第5回名古屋CV・PRML勉強会, 中部大学, 名古屋 (2011 03).

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  • 1. CG・CVにおける散乱玉木徹(広島大学) 2011年3月26日第5回 名古屋CV・PRML勉強会
  • 2. Fog
  • 3. Underwater
  • 4. Sunset
  • 5. Drink
  • 6. Jewely
  • 7. Hair
  • 8. Konnyakuhttp://photosozai-database.com/modules/photo/photo.php?lid=664
  • 9. アウトライン• 光の反射・散乱 • 散乱の計測 – 拡散反射・鏡面反 – 単散乱計測(液体) 射・BRDF – 多重散乱解析(2D・ – 表面下散乱・単散 3D) 乱・多重散乱 – 2層モデル・多層モデ• 表面下散乱モデル ル – 拡散近似 • Dipole/Multipole – Plane-parallel近似 • 準解析解 • 異方性拡張 – Donner’s empirical BSSRDF
  • 10. 拡散反射・鏡面反射・BRDF表面下散乱・単散乱・多重散乱光の反射・散乱
  • 11. 拡散反射• 反射輝度一定 – 視点に依存しない• 多くのCVが仮定 – ステレオ,多視点 – Shape-from-shading• 拡散反射のみ – 完全拡散面 – ランバート面• 石膏など
  • 12. copyright©2010 石膏像ドットコム(堀石膏制作),All Rights Reserved.http://sekkouzou.shop-pro.jp/?pid=22649690
  • 13. Copyright © 2009, Shuntaro Yamazaki.Active range finder 山崎 俊太郎, DLPプロジェクタによる高速度構造化光投影を利用した高速度アクティブビジョン, http://www.dh.aist.go.jp/~shun/research/dlp/index.html.ja
  • 14. Copyright © by Authors完全拡散面でないと困る... 古瀬達彦, 日浦慎作, 佐藤宏介, スリット光の変調による相互反射と表面下散乱に頑健な三次元形状計 測, MIRU2009, pp. 214-221, 2009. Tatsuhiko Furuse, Shinsaku Hiura and Kosuke Sato, 3-D Shape Measurement Method with Modulated Slit Light Robust for Interreflection and Subsurface Scattering, PROCAMS2009, pp. 1-2, 2009.
  • 15. 鏡面反射• 正反射方向 – 輝度最大 𝜃• ハイライト – 正反射方向付近の 輝度が強い – Phongモデル • cos 𝑛 𝜃 に比例
  • 16. BRDF• 任意の反射• Bidirectional 𝜔𝑜 Reflectance 𝜔𝑖 Distribution Function – 双方向反射分布関 𝑥 数• 5パラメータ – 点𝑥,入射方向𝜔 𝑖 , 出射方向𝜔 𝑜• 等方・均等を仮定 – 3パラメータ
  • 17. Eurographics Association Aire-la-Ville, Switzerland, Switzerland ©2003 等方BRDF計測Wojciech Matusik, Hanspeter Pfister, Matthew Brand, and Leonard McMillan. 2003. Efficient isotropicBRDF measurement. In Proceedings of the 14th Eurographics workshop on Rendering (EGRW 03).Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, 241-247.
  • 18. Eurographics Association Aire-la-Ville, Switzerland, Switzerland ©2003 計測されたBRDFを使用Wojciech Matusik, Hanspeter Pfister, Matthew Brand, and Leonard McMillan. 2003. Efficient isotropicBRDF measurement. In Proceedings of the 14th Eurographics workshop on Rendering (EGRW 03).Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, 241-247.
  • 19. Copyright © by Authors 異方性BRDF武田 祐樹, 坂口 嘉之, 田中 弘美, 少数視点画像の反射光解析に基づくシルクライク織物の異方性反射レンダリング, 芸術科学会論文誌, Vol. 7, No. 4, pp.132-143, 2008 .
  • 20. 散乱• 散乱媒質 • 散乱回数 – ボリューム散乱 – 単散乱 – 表面下散乱 – 多重散乱 • 二重散乱• 波長 • 三重散乱 – Rayleigh散乱 • … – Mie散乱
  • 21. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). CGにおける散乱の表現 1987 1993 1994Tomoyuki Nishita, Yasuhiro Miyawaki, and Eihachiro Nakamae. 1987. A shading model for atmosphericscattering considering luminous intensity distribution of light sources. SIGGRAPH Comput. Graph. 21,4 (August 1987), 303-310. DOI=10.1145/37402.37437 http://doi.acm.org/10.1145/37402.37437 Tomoyuki Nishita, Takao Sirai, Katsumi Tadamura, and Eihachiro Nakamae. 1993. Display of the earth taking into account atmospheric scattering. In Proceedings of the 20th annual conference on Computer graphics and interactive techniques (SIGGRAPH 93). ACM, New York, NY, USA, 175-182. DOI=10.1145/166117.166140 http://doi.acm.org/10.1145/166117.166140 Tomoyuki Nishita and Eihachiro Nakamae. 1994. Method of displaying optical effects within water using accumulation buffer. In Proceedings of the 21st annual conference on Computer graphics and interactive techniques (SIGGRAPH 94). ACM, New York, NY, USA, 373-379. DOI=10.1145/192161.192261 http://doi.acm.org/10.1145/192161.192261
  • 22. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). CGにおける散乱の表現 2010 1996Tomoyuki Nishita, Yoshinori Dobashi, and Eihachiro Nakamae. 1996. Display of clouds taking intoaccount multiple anisotropic scattering and sky light. In Proceedings of the 23rd annual conference onComputer graphics and interactive techniques (SIGGRAPH 96). ACM, New York, NY, USA, 379-386.DOI=10.1145/237170.237277 http://doi.acm.org/10.1145/237170.237277 Yonghao Yue, Kei Iwasaki, Bing-Yu Chen, Yoshinori Dobashi, and Tomoyuki Nishita. 2010. Unbiased, adaptive stochastic sampling for rendering inhomogeneous participating media. ACM Trans. Graph. 29, 6, Article 177 (December 2010), 8 pages. In ACM SIGGRAPH Asia 2010 papers (SIGGRAPH ASIA 10). DOI=10.1145/1882261.1866199 http://doi.acm.org/10.1145/1882261.1866199
  • 23. 表面下散乱• 透過光 – 非金属物質• 散乱光 – 物体内部での散乱 – 一部は表面に – 一部は吸収される• 出射光 – 入射点とは異なる 出射点から
  • 24. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 表面反射Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 25. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 表面下散乱Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 26. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 表面反射Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 27. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 表面下散乱Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 28. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 表面反射Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 29. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 表面下散乱Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 30. 単散乱
  • 31. 二重散乱
  • 32. 多重散乱
  • 33. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 多重散乱Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 34. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 単散乱Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 35. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 単散乱+多重散乱+フレネル反射Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 36. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 多重散乱Craig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 37. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 単散乱Craig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 38. BSSRDF• Bidirectional Scattering Surface Reflectance 𝜔𝑖 Distribution Function 𝜔𝑜 – 双方向深層散乱反 射分布関数 𝑥𝑖 𝑥𝑜• 8パラメータ – 入射点𝑥 𝑖 ,出射点𝑥 𝑜 , 入射方向𝜔 𝑖 ,出射方 向𝜔 𝑜• 等方・均等を仮定 – 5パラメータ
  • 39. 拡散近似:Dipole/MultipolePlane-parallel近似:準解析解,異方性拡張 Donner’s empirical BSSRDF 表面下散乱モデル
  • 40. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Dipole(双極子点光源)モデル • 均質媒体,半無限 • 単散乱+多重散乱 (等方・拡散近似) • 二項の和 – それぞれ仮想点光 源Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 41. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM).Henrik Wann Jensen, Stephen R. Marschner, Marc Levoy, and Pat Hanrahan. 2001. A practical modelfor subsurface light transport. In Proceedings of the 28th annual conference on Computer graphicsand interactive techniques (SIGGRAPH 01). ACM, New York, NY, USA, 511-518.
  • 42. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM).Multipole近似• 厚さが有限 – Dipoleの無限和 – Multipoleモデル• 有限厚の層が重 なった場合 – Multipoleモデルを 複数利用 Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials. ACM Trans. Graph. 24, 3 (July 2005), 1032-1039. In ACM SIGGRAPH 2005 Papers (SIGGRAPH 05). DOI=10.1145/1073204.1073308
  • 43. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Multipole近似 均質媒体 均質媒体 + 塗料塗布Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials.ACM Trans. Graph. 24, 3 (July 2005), 1032-1039. In ACM SIGGRAPH 2005 Papers (SIGGRAPH 05).DOI=10.1145/1073204.1073308
  • 44. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Multipole近似 後ろから光を当てた場合 均質媒体 均質媒体 + 塗料塗布Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials.ACM Trans. Graph. 24, 3 (July 2005), 1032-1039. In ACM SIGGRAPH 2005 Papers (SIGGRAPH 05).DOI=10.1145/1073204.1073308
  • 45. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Dipole近似 有限厚の媒質(紙)Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials.ACM Trans. Graph. 24, 3 (July 2005), 1032-1039. In ACM SIGGRAPH 2005 Papers (SIGGRAPH 05).DOI=10.1145/1073204.1073308
  • 46. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Multipole近似 有限厚の媒質(紙)Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials.ACM Trans. Graph. 24, 3 (July 2005), 1032-1039. In ACM SIGGRAPH 2005 Papers (SIGGRAPH 05).DOI=10.1145/1073204.1073308
  • 47. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 複数皮膚層のMultipole近似 後ろから光を当てた場合 右から光を当てた場合Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials.ACM Trans. Graph. 24, 3 (July 2005), 1032-1039. In ACM SIGGRAPH 2005 Papers (SIGGRAPH 05).DOI=10.1145/1073204.1073308
  • 48. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Dipole近似Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials.ACM Trans. Graph. 24, 3 (July 2005), 1032-1039. In ACM SIGGRAPH 2005 Papers (SIGGRAPH 05).DOI=10.1145/1073204.1073308
  • 49. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Multipole近似Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials.ACM Trans. Graph. 24, 3 (July 2005), 1032-1039. In ACM SIGGRAPH 2005 Papers (SIGGRAPH 05).DOI=10.1145/1073204.1073308
  • 50. Plane-parallel近似• Dipole 単層半無限平面• Multipole 有限厚複数層• 半無限平面媒体 – 密度が表面からの 深さ𝑧にのみ依存 層状均質 – Plane-parallel
  • 51. Copyright © 画像電子学会および(社)情報処理学会 準解析解(固有解) 偏微積分方程式 常微積分方程式 離散化 固有解 固有関数 固有値新谷 幹夫, 白石 路雄, 土橋 宜典, 岩崎 慶, 西田 友是, "固有解を用いた表面下散乱の高速表示", Visual Computing / グラフィクスと CAD 合同シンポジウム 2008, 2008. http://nis-lab.is.s.u-tokyo.ac.jp/nis/abs_cgi.html#ipsj09-2
  • 52. Copyright © 画像電子学会および(社)情報処理学会 準解析解と単散乱の比較 モンテカルロ 準解析解 単散乱 準解析解 形状補正 単散乱 準解析解新谷 幹夫,土橋 宜典,白石 路雄,岩崎 慶,西田 友是, "多重散乱モデルの効率化と樹木レンダリングへの応用", Visual Computing / グラフィクスと CAD 合同シンポジウム 2009, 2009.
  • 53. Copyright ©一般社団法人 画像電子学会,(社)情報処理学会および(社)映像情報メディア学会 異方性Plane-parallelモデル 新谷 幹夫,白石 路雄, 土橋 宜典,岩崎 慶,西田 友是, "異方性Plane-Parallel散乱モデルによる毛髪 状物体の高速レンダリング", Visual Computing / グラフィクスと CAD 合同シンポジウム 2010, 2010.Nelson Max, Suguru Saito, Kazuya Watanabe, Masayuki Nakajima, "Rendering Grass Blowing in TheWind with Global Illumination", Pacific Graphics 2009, 2009.Nelson Max, Kazuya Watanabe, Suguru Saito, Masayuki Nakajima, "Plane-Parallel Radiance Transportfor Rendering Grass Blowing in The Wind", Visual Computing / グラフィクスと CAD 合同シンポジウム2009, 2009.
  • 54. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Donner’s empirical BSSRDF • 5Dパラメータの • 半無限均質平面媒 BSSRDFをシミュ 𝜔 𝑖 体を仮定 レーション – 6パラメータ 𝜔𝑜 – 85万通り 𝑥𝑖 𝑥𝑜 • 関数近似 – 各入射角度,各出 射点,各出射方向 – 36GBデータCraig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 55. Copyright © by AuthorsCraig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 56. Copyright © by AuthorsCraig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 57. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). モンテカルロ法Craig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 58. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 単散乱のみCraig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 59. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 単散乱+dipoleモデルCraig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 60. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 単散乱+このモデルCraig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 61. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). モンテカルロ法Craig Donner, Jason Lawrence, Ravi Ramamoorthi, Toshiya Hachisuka, Henrik Wann Jensen, andShree Nayar. 2009. An empirical BSSRDF model. ACM Trans. Graph. 28, 3, Article 30 (July 2009), 10pages. In ACM SIGGRAPH 2009 papers (SIGGRAPH 09). DOI=10.1145/1531326.1531336
  • 62. 単散乱計測(液体)多重散乱解析(2D・3D)2層モデル・多層モデル散乱の計測
  • 63. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 液体を薄めて単散乱で計測Srinivasa G. Narasimhan, Mohit Gupta, Craig Donner, Ravi Ramamoorthi, Shree K. Nayar, and HenrikWann Jensen. 2006. Acquiring scattering properties of participating media by dilution. ACM Trans.Graph. 25, 3 (July 2006), 1003-1012. In ACM SIGGRAPH 2006 Papers (SIGGRAPH 06).DOI=10.1145/1141911.1141986
  • 64. Copyright © by AuthorsSrinivasa G. Narasimhan, Mohit Gupta, Craig Donner, Ravi Ramamoorthi, Shree K. Nayar, and HenrikWann Jensen. 2006. Acquiring scattering properties of participating media by dilution. ACM Trans.Graph. 25, 3 (July 2006), 1003-1012. In ACM SIGGRAPH 2006 Papers (SIGGRAPH 06).DOI=10.1145/1141911.1141986
  • 65. Copyright © by AuthorsSrinivasa G. Narasimhan, Mohit Gupta, Craig Donner, Ravi Ramamoorthi, Shree K. Nayar, and HenrikWann Jensen. 2006. Acquiring scattering properties of participating media by dilution. ACM Trans.Graph. 25, 3 (July 2006), 1003-1012. In ACM SIGGRAPH 2006 Papers (SIGGRAPH 06).DOI=10.1145/1141911.1141986
  • 66. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). 散乱パラメータの変更Srinivasa G. Narasimhan, Mohit Gupta, Craig Donner, Ravi Ramamoorthi, Shree K. Nayar, and HenrikWann Jensen. 2006. Acquiring scattering properties of participating media by dilution. ACM Trans.Graph. 25, 3 (July 2006), 1003-1012. In ACM SIGGRAPH 2006 Papers (SIGGRAPH 06).DOI=10.1145/1141911.1141986
  • 67. Copyright © by Authors散乱パラメータの補間 Srinivasa G. Narasimhan, Mohit Gupta, Craig Donner, Ravi Ramamoorthi, Shree K. Nayar, and Henrik Wann Jensen. 2006. Acquiring scattering properties of participating media by dilution. ACM Trans. Graph. 25, 3 (July 2006), 1003-1012. In ACM SIGGRAPH 2006 Papers (SIGGRAPH 06). DOI=10.1145/1141911.1141986
  • 68. Copyright © by Authors単散乱,二重散乱,三重散乱... 向川康博,ラメシュラスカル,八木康史, "散乱媒体中のライトトランスポートの解析, MIRU2010, pp. 665-672, 2010. Y.Mukaigawa, Y.Yagi, R.Raskar, "Analysis of Light Transport in Scattering Media", Proc. CVPR2010, 2010.
  • 69. Copyright © by Authors散乱回数毎に分離向川康博,ラメシュラスカル,八木康史, "散乱媒体中のライトトランスポートの解析, MIRU2010, pp.665-672, 2010.Y.Mukaigawa, Y.Yagi, R.Raskar, "Analysis of Light Transport in Scattering Media", Proc. CVPR2010,2010.
  • 70. Copyright © by Authors 固体の散乱計測(Dipoleモデル) PP PE POM向川康博,鈴木和哉,八木康史, "一般照明下での表面下散乱の解析,MIRU2008, pp.63-70, 2008.Y.Mukaigawa, K.Suzuki, Y.Yagi, "Analysis of Subsurface Scattering under Generic Illumination",Proc. ICPR2008, 2008.Y.Mukaigawa, K.Suzuki, Y.Yagi, ``Analysis of Subsurface Scattering based on Dipole Approximation,IPSJ Transactions on Computer Vision and Applications, Vol.1, pp.128-138, 2009.
  • 71. Copyright © by Authors PP(ポリプロピレン)向川康博,鈴木和哉,八木康史, "一般照明下での表面下散乱の解析,MIRU2008, pp.63-70, 2008.Y.Mukaigawa, K.Suzuki, Y.Yagi, "Analysis of Subsurface Scattering under Generic Illumination",Proc. ICPR2008, 2008.Y.Mukaigawa, K.Suzuki, Y.Yagi, ``Analysis of Subsurface Scattering based on Dipole Approximation,IPSJ Transactions on Computer Vision and Applications, Vol.1, pp.128-138, 2009.
  • 72. Copyright © by Authors PE(ポリエチレン)向川康博,鈴木和哉,八木康史, "一般照明下での表面下散乱の解析,MIRU2008, pp.63-70, 2008.Y.Mukaigawa, K.Suzuki, Y.Yagi, "Analysis of Subsurface Scattering under Generic Illumination",Proc. ICPR2008, 2008.Y.Mukaigawa, K.Suzuki, Y.Yagi, ``Analysis of Subsurface Scattering based on Dipole Approximation,IPSJ Transactions on Computer Vision and Applications, Vol.1, pp.128-138, 2009.
  • 73. Copyright © by Authors POM(ポリオキシメチレン)向川康博,鈴木和哉,八木康史, "一般照明下での表面下散乱の解析,MIRU2008, pp.63-70, 2008.Y.Mukaigawa, K.Suzuki, Y.Yagi, "Analysis of Subsurface Scattering under Generic Illumination",Proc. ICPR2008, 2008.Y.Mukaigawa, K.Suzuki, Y.Yagi, ``Analysis of Subsurface Scattering based on Dipole Approximation,IPSJ Transactions on Computer Vision and Applications, Vol.1, pp.128-138, 2009.
  • 74. Copyright © by Authors2層モデル:化粧+肌の解析 馬場葉子,向川康博,八木康史,"化粧と肌の2層構造からなる化粧肌反射特性モデル", MIRU2010, pp. 1679-1685, 2010.
  • 75. Copyright © by Authors 化粧の乗り具合馬場葉子,向川康博,八木康史,"化粧と肌の2層構造からなる化粧肌反射特性モデル", MIRU2010,pp. 1679-1685, 2010.
  • 76. Copyright © by Authors 年齢・性別による肌の変化馬場葉子,間下以大,向川康博,八木康史,"大規模データベースを用いた肌の反射・散乱光の統計的解析", MIRU2009, pp. 1164-1171, 2009.
  • 77. Copyright © by Authors馬場葉子,間下以大,向川康博,八木康史,"大規模データベースを用いた肌の反射・散乱光の統計的解析", MIRU2009, pp. 1164-1171, 2009.
  • 78. Copyright © by (社)情報処理学会 2層モデル:液体透過+固体反射馬場葉子,向川康博,八木康史,"照明光と反射光の散乱を考慮した反射特性の推定",CVIM, 2011-CVIM-175(41), 2011.
  • 79. Copyright © by Authors 2層モデル:半透明媒体×2貴田健介,坂上文彦,佐藤淳, "表面下散乱に基づく半透明物体の厚み推定", MIRU2010, pp. 578-584,2010.
  • 80. Copyright © by Authors 多層モデル:混合正規分布によ る異方性BSSRDFの表現間下以大,向川康博,八木康史, "多層表面下散乱モデルによる皮膚の異方性散乱と不均一性の表現",MIRU2009, pp. 1216-1222, 2009.
  • 81. Copyright © by Authors 計測機器・反射成分分離間下以大,向川康博,八木康史, "多層表面下散乱モデルによる皮膚の異方性散乱と不均一性の表現",MIRU2009, pp. 1216-1222, 2009.
  • 82. Copyright © by Authors 直接反射成分間下以大,向川康博,八木康史, "多層表面下散乱モデルによる皮膚の異方性散乱と不均一性の表現",MIRU2009, pp. 1216-1222, 2009.
  • 83. Copyright © by Authors 多層表面下散乱間下以大,向川康博,八木康史, "多層表面下散乱モデルによる皮膚の異方性散乱と不均一性の表現",MIRU2009, pp. 1216-1222, 2009.
  • 84. Copyright © by Authors 直接反射+多層表面下散乱間下以大,向川康博,八木康史, "多層表面下散乱モデルによる皮膚の異方性散乱と不均一性の表現",MIRU2009, pp. 1216-1222, 2009.
  • 85. Copyright © by Authors 直接反射+均質表面下散乱間下以大,向川康博,八木康史, "多層表面下散乱モデルによる皮膚の異方性散乱と不均一性の表現",MIRU2009, pp. 1216-1222, 2009.
  • 86. Copyright © by Authors 実画像間下以大,向川康博,八木康史, "多層表面下散乱モデルによる皮膚の異方性散乱と不均一性の表現",MIRU2009, pp. 1216-1222, 2009.
  • 87. Copyright © by Authors 直接反射+多層表面下散乱間下以大,向川康博,八木康史, "多層表面下散乱モデルによる皮膚の異方性散乱と不均一性の表現",MIRU2009, pp. 1216-1222, 2009.
  • 88. アウトライン• 光の反射・散乱 • 散乱の計測 – 拡散反射・鏡面反 – 単散乱計測(液体) 射・BRDF – 多重散乱解析(2D・ – 表面下散乱・単散 3D) 乱・多重散乱 – 2層モデル・多層モデ• 表面下散乱モデル ル – 拡散近似 • Dipole/Multipole – Plane-parallel近似 • 準解析解 • 異方性拡張 – Donner’s empirical BSSRDF
  • 89. CG・CVにおける散乱玉木徹(広島大学) 2011年3月26日第5回 名古屋CV・PRML勉強会