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FAST PENUMBRA CALCULATION IN RAY TRACING

Penumbras, or soft shadows, are an important means to enhance the realistic appearance of computer generated images. We present a fast method based on Minkowski operators to reduce the run time for penumbra calculation with stochastic ray tracing. Detailed run time analysis on some examples shows that the new method is significantly faster than the conventional approach. Moreover, it adapts to the environment so that small penumbras are calculated faster than larger ones. The algorithm needs at most twice as much memory as the underlying ray tracing algorithm.