Abstract: One embodiment of a method for rendering one or more graphics images includes sampling one or more directions of light passing through a medium, computing one or more parameters associated with one or more position distributions based on the one or more directions of light, computing a brightness in a direction at which the light exits the medium based on the one or more parameters associated with the one or more position distributions and the direction at which the light exits the medium, and rendering the one or more graphics images based on the brightness in the direction at which the light exits the medium.

Abstract: In various examples, transmittance may be computed using a power-series expansion of an exponential integral of a density function. A term of the power-series expansion may be evaluated as a combination of values of the term for different orderings of samples in the power-series expansion. A sample may be computed from a combination of values at spaced intervals along the function and a discontinuity may be compensated for based at least on determining a version of the function that includes an alignment of a first point with a second point of the function. Rather than arbitrarily or manually selecting a pivot used to expand the power-series, the pivot may be computed as an average of values of the function. The transmittance estimation may be computed from the power-series expansion using a value used to compute the pivot (for a biased estimate) or using all different values (for an unbiased estimate).

Abstract: In various examples, transmittance may be computed using a power-series expansion of an exponential integral of a density function. A term of the power-series expansion may be evaluated as a combination of values of the term for different orderings of samples in the power-series expansion. A sample may be computed from a combination of values at spaced intervals along the function and a discontinuity may be compensated for based at least on determining a version of the function that includes an alignment of a first point with a second point of the function. Rather than arbitrarily or manually selecting a pivot used to expand the power-series, the pivot may be computed as an average of values of the function. The transmittance estimation may be computed from the power-series expansion using a value used to compute the pivot (for a biased estimate) or using all different values (for an unbiased estimate).