20110415 Scattering in CG and CV
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20110415 Scattering in CG and CV

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玉木 徹 : ...

玉木 徹 :
「CG・CVにおける散乱・表面下散乱」,
第5回 広島画像情報学セミナー, 広島大学, 広島 (2011 04).

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  • 1. Scatteringin CG and CVToru Tamaki(Hiroshima University) HIISeminar 2011/4/15
  • 2. Fog
  • 3. Underwater
  • 4. Sunset
  • 5. Drink
  • 6. Jewely
  • 7. Hair
  • 8. Konnyakuhttp://photosozai-database.com/modules/photo/photo.php?lid=664
  • 9. Outline• Reflection, Scattering • Measuring scattering – Diffuse / specular – Single scattering with reflection, BRDF liquid – Subsurface scattering, – Multiple scattering single/multiple (2D・3D) scattering – 2 layer model, multi-• Subsurface scattering layer model models – Diffuse approximation • Dipole/Multipole – Plane-parallel approximation • Semi-analytic solution • Anisotropic scattering – Donner’s empirical BSSRDF
  • 10. Diffuse / specular reflection, BRDF Subsurface scattering, single/multiple scatteringREFLECTION, SCATTERING OF LIGHT
  • 11. Diffuse reflection• Constant radiance – Independent to viewpoint• Many CV assume – Stereo, multi-view – Shape-from-shading• Pure diffuse surface – Lambertian• Example – Plaster statues
  • 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 AuthorsIf not Lambertian: 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. Specular reflection• Angle of reflection – is angle of incidence 𝜃• Highlights – More reflection near to the angle of reflection – Phong model • Proportional to cos 𝑛 𝜃
  • 16. BRDF• Any refection• Bidirectional Reflectance 𝜔𝑜 𝜔𝑖 Distribution Function – 双方向反射分布関数• 6 parameters – Point 𝑥, angles of 𝑥 incidence 𝜔 𝑖 and reflection 𝜔 𝑜• If isotropic and homogeneous – 3 parameters
  • 17. Eurographics Association Aire-la-Ville, Switzerland, Switzerland ©2003 Isotropic BRDF measurementWojciech 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 Rendering with measured BRDFWojciech 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 Anisotropic 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. Scattering• Media • Number of – Volumetric scattering – Subsurface – Single scattering – Multiple scattering • Double scattering• Wavelengths • Triple scattering – Rayleigh scattering • … – Mie scattering
  • 21. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Volumetric scattering in CG 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). Volumetric scattering in CG 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. Subsurface scattering• Transmitted light – Non-metal• Scattering – Inside medium – Some come the surface – Some absorbed• Outgoing light – From a point different from the incident point
  • 24. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Surface reflectionHenrik 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). Subsurface scatteringHenrik 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). Surface reflectionHenrik 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). Surface reflectionHenrik 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). Surface reflectionHenrik 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). Surface reflectionHenrik 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. Single scattering
  • 31. Double scattering
  • 32. Multiple scattering
  • 33. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Multiple scatteringHenrik 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). Single scatteringHenrik 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). Single + Multiple scattering + Fresnel reflectionHenrik 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). Single + Multiple scatteringCraig 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). Single scatteringCraig 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 – 双方向深層散乱反射 𝜔𝑜 分布関数• 9 parameters 𝑥𝑖 𝑥𝑜 – Points of incidence 𝑥 𝑖 and outgoing 𝑥 𝑜 , angles of incidence 𝜔 𝑖 and outgoing 𝜔 𝑜• If isometric and homogeneous – 5 parameters
  • 39. Diffuse approximation: Dipole/Multipole Plane-parallel approximation: Semi-analytic solution, Anisotropic scattering, Donner’s empirical BSSRDFSUBSURFACE SCATTERING MODELS
  • 40. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Dipole model • Homogeneous and semi-infinite medium • Single + multiple scattering (isometric and diffusion) • Sum of two terms – Each represents a virtual point light sourceHenrik 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 approximation• Finite thickness – Infinite sum of Dipoles – Multipole model• Finite-thick layers – The use of some Multipole models 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 approximation Homogeneous Homogeneous medium medium + Dye sprayingCraig 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 approximation Backlight Homogeneous Homogeneous medium medium + Dye sprayingCraig 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 approximation Finite-thick medium (paper)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 approximation Finite-thick medium (paper)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). Multipole approximation of human skin layers Backlight SidelightCraig 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 approximationCraig 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 approximationCraig 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 approximation• Dipole Single layer, semi-infinite• Multipole Finite-thick layers• Semi-infinite plane medium – Depends on the Layered homogeneous depth 𝑧 from the surface – Plane-parallel
  • 51. Copyright © 画像電子学会および(社)情報処理学会 Analytic solution Integro-differential equation Integro-ordinary differential equation Discretization Eigensolution Eigenfunction Eigenvalue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 Comparison between analytic solution and single scattering 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 Anisotropic Plane-parallel model 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 • Simulating 5D • Semi-infinite parameter 𝜔 𝑖 homogeneous BSSRDF plane medium – 6 parameters 𝜔𝑜 – 0.85 million 𝑥𝑖 𝑥𝑜 patterns • Function fitting – Each incident / outgoing angles / points – 36GB dataCraig 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). Monte Carlo MethodCraig 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). Single scattering onlyCraig 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). Single scattering + Dipole modelCraig 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). Single scattering + This modelCraig 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). Monte Carlo MethodCraig 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. Single scattering with liquid Multiple scattering (2D・3D) 2 layer model, multi-layer modelMEASURING SCATTERING
  • 63. Copyright © 2011 by the Association for Computing Machinery, Inc. (ACM). Measuring single scattering with diluted liquiedSrinivasa 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). Rendering as changing scattering parametersSrinivasa 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 Interpolation ofscattering parameters 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 Interpolation ofscattering parameters 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
  • 69. Copyright © by Authors 2 layer model: two translucent materials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.
  • 70. Copyright © by (社)情報処理学会 2 layer mode: scattering in liquid and metal reflectance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.
  • 71. Copyright © by Authors2 layer model:makeup and skin layers 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.
  • 72. Copyright © by Authors How heavy (or light) makeup is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.
  • 73. Copyright © by Authors Analysis of face skin w.r.t ages and genders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.
  • 74. Copyright © by Authors Blue : men Variance of Red : women scattering Senior Specular Senior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.
  • 75. Copyright © by Authors Multiple layer model: Anisotropic BSSRDF with GMM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.
  • 76. Copyright © by Authors Separating direct / indirect reflections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.
  • 77. Copyright © by Authors Direct reflection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.
  • 78. Copyright © by Authors Multi-layer anisotropic BSSRDF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.
  • 79. Copyright © by Authors Direct reflection + Multi-layer anisotropic BSSRDF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.
  • 80. Copyright © by Authors Direct reflection + homogeneous isotropic BSSRDF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 Real image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 Direct reflection + Multi-layer anisotropic BSSRDF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 Measuring a solid object with Dipole model 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.
  • 84. Copyright © by Authors PP (Polypropylene)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.
  • 85. Copyright © by Authors PE (Polyethylene)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.
  • 86. Copyright © by Authors POM (Polyoxymethylene)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.
  • 87. Copyright © by AuthorsSingle, double, triple, … scattering 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.
  • 88. Copyright © by AuthorsDecomposition into each scattering 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.
  • 89. Outline• Reflection, Scattering • Measuring scattering – Diffuse / specular – Single scattering with reflection, BRDF liquid – Subsurface scattering, – Multiple scattering single/multiple (2D・3D) scattering – 2 layer model, multi-• Subsurface scattering layer model models – Diffuse approximation • Dipole/Multipole – Plane-parallel approximation • Semi-analytic solution • Anisotropic scattering – Donner’s empirical BSSRDF
  • 90. Scatteringin CG and CVToru Tamaki(Hiroshima University) HIISeminar 2011/4/15
  • 91. Scatteringnot for CG and CVToru Tamaki(Hiroshima University) HIISeminar 2011/4/15
  • 92. A lot of related research fields• tissue optics Laser-tissue interaction 光医工学 光医療工学• 放射光 X線CTR散乱 位相CT 位相X線イメージングシステム 光 CT 蛍光CT赤外線散乱トモグラフィー 光ヘテロダイン• 医療での人体可視化 拡散光トモグラフィー 無侵襲計測 生体可 視化 光イメージング 屈折イメージング• 超音波非破壊検査 超音波検査 アコースティックイメージング 超 音波医学 医用超音波 ティッシュハーモニックイメージング コント ラストハーモニックイメージング• interstellar diffusion 宇宙塵 小惑星 惑星間塵 惑星間空間塵 Interplanetary dust cloud Cosmic dust• 雪の中に埋もれた人を電磁波で探知 # 偏波情報によるターゲット の識別・分類 レーダポーラリメトリ 地中レーダー 雪中レーダー レーダーリモートセンシング レーダー光学• 地質探査 物理探査 地震波トモグラフィー 地震波散乱 地震波 探査 地下構造イメージング• 中性子散乱 核反応の散乱• 光散乱