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Where is the total density encountered by the light path going through the medium. Once we have the transmittance, we can just multiply it by to find out how much outgoing light reaches us through the ray. If the medium is just an area of constant density , then simply evaluates to the length of the portion of the light ray passing through the medium times the density:。关于这个话题,电影提供了深入分析
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Here, and are the start and end points of the portion of the ray passing through the bounding volume, respectively. The function describes the density of the medium at a given point in space . Because not all functions have a closed-form solution for their integral, we often resort to numerical methods to evaluate it, i.e. moving along the ray in small steps and adding up the area of rectangular ‘slices’ of density along the way.