Acquiring non-parametric scattering phase function from a single image


Acquiring accurate scattering properties is important for rendering translucent materials. In particular, the phase function, which determines the distribution of scattering directions, plays a significant role in the appearance of a material. We propose a distinctive scattering theory that approximates the effect of single scattering to acquire the non-parametric phase function from a single image. Furthermore, in various experiments, we measured the phase functions from several real diluted media and rendered images of these materials to evaluate the effectiveness of our theory.


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This work was partly supported by JSPS KAKENHI JP15K16027, JP26700013, and JP15H005918.

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Correspondence to Hiroyuki Kubo.

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Yuki Minetomo is currently working at Canon Inc. He received his master degree from Nara Institute of Science and Technology. His research interests include computer vision and computer graphics.

Hiroyuki Kubo has been an assistant professor at Nara Institute of Science and Technology (NAIST), Japan, since 2014. His research interests include computer graphics and computer animation. He received his M.S. and Ph.D. degrees from Waseda University, in 2008 and 2012, respectively. He is a member of the ACM.

Takuya Funatomi has been an associate professor at Nara Institute of Science and Technology (NAIST), Japan, since 2015. He was an assistant professor at Kyoto University, Japan, from 2007 to 2015, and a visiting assistant professor at Stanford University, USA, in 2014. He received his Ph.D. degree in informatics from the Graduate School of Informatics, Kyoto University, Japan, in 2007. His research interests include computer vision, computer graphics, and pattern recognition. He is a member of the IEEE Computer Society and Communication Society.

Mikio Shinya is currently a professor in the Department of Information Science, Toho University. He received his B.Sc. degree in 1979, M.S. degree in 1981, and Ph.D. degree in 1990, from Waseda University. He joined NTT Laboratories in 1981, and moved to Toho University in 2001. He was a visiting scientist at the University of Toronto during 1988–1989. His research interests include computer graphics and visual science.

Yasuhiro Mukaigawa received his M.E. and Ph.D. degrees from the University of Tsukuba in 1994 and 1997, respectively. He became a research associate at Okayama University in 1997, an assistant professor at the University of Tsukuba in 2003, an associate professor at Osaka University in 2004, and a professor at Nara Institute of Science and Technology (NAIST) in 2014. His current research interests include photometric analysis and computational photography. He is a member of the IEEE.

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Minetomo, Y., Kubo, H., Funatomi, T. et al. Acquiring non-parametric scattering phase function from a single image. Comp. Visual Media 4, 323–331 (2018).

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  • scattering
  • phase function
  • measurement
  • rendering