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Light scattering through a participative medium has a significant impact on display. However, accurate and efficient simulation of scattering remains challenging. Monte Carlo or numerical integration techniques are commonly employed to solve the scattering equation. Single scattering is a common approximation that provides satisfactory results in many cases. Analytical integration of scattering under certain assumptions have been achieved by pre-computing a table of values. We present a new approximation to the single scattering equation that is easily integrable in real time. We analyze the error of this approximation and show that the numerical error is insignificant. The images are virtually indistinguishable from those obtained by the more accurate integration.

EFFICIENT ANALYTICAL INTEGRATION OF SINGLE SCATTERING FUNCTION