Blurring of Light due to Multiple Scattering by Participating Medium : A Path Integral Approach

Volumetric light transport effects are significant for many materials like skin, smoke, clouds or water. In particular, one must consider the multiple scat tering of light within the volume. Recently, we presented a path integral-based approach to th is problem which identifies the most probable path light takes in the medium and approximate s en rgy transport over all paths by only those surrounding this most probable one. In th is report we use the same approach to derive useful expressions for the amount of spac ial nd angular blurring light experiences as it travels through a medium. Blurring of Light due to Multiple Scattering by Participating Medium: A Path Integral Approach Michael Ashikhmin Simon Premože Ravi Ramamoorthi Shree Nayar May 31, 2004 Abstract Volumetric light transport effects are significant for many materials like skin, smoke, clouds or water. In particular, one must consider the multiple scattering of light within the volume. Recently, we presented a path integral-based approach to this problem which identifies the most probable path light takes in the medium and approximates energy transport over all paths by only those surrounding this most probable one. In this report we use the same approach to derive useful expressions for the amount of spacial and angular blurring light experiences as it travels through a medium.Volumetric light transport effects are significant for many materials like skin, smoke, clouds or water. In particular, one must consider the multiple scattering of light within the volume. Recently, we presented a path integral-based approach to this problem which identifies the most probable path light takes in the medium and approximates energy transport over all paths by only those surrounding this most probable one. In this report we use the same approach to derive useful expressions for the amount of spacial and angular blurring light experiences as it travels through a medium.

[1]  C. Bohren Multiple scattering of light and some of its observable consequences , 1987 .

[2]  E. Tirapegui,et al.  Functional Integration and Semiclassical Expansions , 1982 .

[3]  J. March Introduction to the Calculus of Variations , 1999 .

[4]  R. Feynman,et al.  Quantum Mechanics and Path Integrals , 1965 .

[5]  Per H. Christensen,et al.  Efficient simulation of light transport in scenes with participating media using photon maps , 1998, SIGGRAPH.

[6]  Kadi Bouatouch,et al.  Global Illumination in Presence of Participating Media with General Properties , 1995 .

[7]  Peter Shirley,et al.  Path Integration for Light Transport in Volumes , 2003, Rendering Techniques.

[8]  J. McLean,et al.  Beam spread function with time dispersion. , 1998, Applied optics.

[9]  G. I. Bell,et al.  Nuclear Reactor Theory , 1952 .

[10]  J. McLean,et al.  Lidar equations for turbid media with pulse stretching. , 1999, Applied optics.

[11]  Jerry Tessendorf Underwater solar light field: analytical model from a WKB evaluation , 1991, Optics & Photonics.

[12]  Akira Ishimaru,et al.  Wave propagation and scattering in random media , 1997 .

[13]  Tessendorf Radiative transfer as a sum over paths. , 1987, Physical review. A, General physics.

[14]  G. Rybicki Radiative transfer , 2019, Climate Change and Terrestrial Ecosystem Modeling.

[15]  Jerry Tessendorf Time-dependent radiative transfer and pulse evolution , 1989 .

[16]  Sumanta N. Pattanaik,et al.  Computation of global illumination in a participating medium by monte carlo simulation , 1993, Comput. Animat. Virtual Worlds.

[17]  Shree K. Nayar,et al.  Practical Rendering of Multiple Scattering Effects in Participating Media , 2004, Rendering Techniques.

[18]  N. Max Efficient light propagation for multiple anisotropic volume scattering , 1995 .

[19]  Kenneth E. Torrance,et al.  The zonal method for calculating light intensities in the presence of a participating medium , 1987, SIGGRAPH.

[20]  Jerry Tessendorf Measures of temporal pulse stretching , 1992, Optics & Photonics.

[21]  Craig F. Bohren,et al.  Clouds in a glass of beer : simple experiments in atmospheric physics / Craig F. Bohren , 1987 .