POV-Ray

Attached to Project: POV-Ray
Opened by Christoph Lipka - 2013-12-20
Last edited by William F Pokorny - 2016-11-07

The following scene demonstrates how media sampling method 3 gives inaccurate results with scattering media.

The scene shows four spheres with uniform media, using (left to right) sampling methods 1, 2 and 3 with default settings, and sampling method 3 with high minimum sample count, respectively.

Note how changing the sample count significantly affects the result, despite the media being uniform.

Code analysis shows that the root cause is an underestimation of the extinction effect on the light scattered by the media, corresponding in order of magnitude to half the distance between mandatory samples (as defined by minimum sample count).

The effect also leads to visible artifacts when nesting hollow objects inside the media, as can be demonstrated by un-commenting the four smaller spheres.

#version 3.7;

camera {
  perspective angle 25
  location  <0.0 , 0.0 ,-20.0>
  right     x*image_width/image_height
  look_at   <0.0 , 0.0 , 0.0>
}

light_source {
  <0,3000,-3000> color rgb 1
}

background { color rgb 0.5 }

plane {
  <0,1,0>, -1
  texture { pigment { checker color rgb<1,1,1>*1.2 color rgb<0.25,0.15,0.1>*0 } }
}

#declare T_Transparent = texture {
  pigment { color rgbt <1,1,1,1> } finish { diffuse 1 }
}

sphere { <-3,0,0>, 1.00 
  texture { T_Transparent }
  hollow
  interior {
    media {
      scattering { 1 color rgb 2 extinction 1 }
      method 1
    }
  }
}

sphere { <-1,0,0>, 1.00 
  texture { T_Transparent }
  hollow
  interior {
    media {
      scattering { 1 color rgb 2 extinction 1 }
      method 2
    }
  }
}

sphere { <1,0,0>, 1.00 
  texture { T_Transparent }
  hollow
  interior {
    media {
      scattering { 1 color rgb 2 extinction 1 }
      method 3
    }
  }
}

sphere { <3,0,0>, 1.00 
  texture { T_Transparent }
  hollow
  interior {
    media {
      scattering { 1 color rgb 2 extinction 1 }
      method 3
      samples 100
    }
  }
}

/*
sphere { <-3,0,0>,0.8 texture { T_Transparent } hollow }
sphere { <-1,0,0>,0.8 texture { T_Transparent } hollow }
sphere { < 1,0,0>,0.8 texture { T_Transparent } hollow }
sphere { < 3,0,0>,0.8 texture { T_Transparent } hollow }
*/