Abstract: Provided are systems and methods that address the problem of single scattering in homogeneous volumes. In one implementation, an importance sampling technique is provided that avoids a singularity near point light sources. The system and method can be extended to the situation of area lights of arbitrary shapes. The error caused by the non-constant distance to the finite-extent area light is distributed by using random sample points within the area light as points from which lighting is calculated for sampling points along the ray.

Abstract: Provided are systems and methods to perform ray marching for production ray tracing in inhomogeneous participating media. The systems and methods allow a reduction of the quadratic complexity without giving up the benefits of accurate ray traced lighting. In one implementation, the task of ray marching is reformulated into a task of transforming an unknown, spatially varying volume into a collection of piecewise homogeneous segments. Being homogeneous, inexpensive analytical formulas may be employed for evaluating and sampling the transmission term at arbitrary points in the segments.

Abstract: Provided are systems and methods that address the problem of single scattering in homogeneous volumes. In one implementation, an importance sampling technique is provided that avoids a singularity near point light sources. The system and method can be extended to the situation of area lights of arbitrary shapes. The error caused by the non-constant distance to the finite-extent area light is distributed by using random sample points within the area light as points from which lighting is calculated for sampling points along the ray.

Abstract: Provided are systems and methods to perform ray marching for production ray tracing in inhomogeneous participating media. The systems and methods allow a reduction of the quadratic complexity without giving up the benefits of accurate ray traced lighting. In one implementation, the task of ray marching is reformulated into a task of transforming an unknown, spatially varying volume into a collection of piecewise homogeneous segments. Being homogeneous, inexpensive analytical formulas may be employed for evaluating and sampling the transmission term at arbitrary points in the segments.