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This paper presents a raytracing-based method of synthesis of realistic images in a complex space containing gradient lenses. The proposed solution is based on the Runge-Kutta method and allows raytracing in a space with a gradient medium. The authors have developed an effective solution, which allows dividing the complex lens boundary into voxels and providing a fast ray tracing procedure inside the voxel. In addition, the authors considered possible solutions for calculating luminance components within a gradient refractive index medium. The study showed that the most efficient way to calculate luminance is based on stochastic bidirectional raytracing with photon maps.
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Andrey Zhdanov, Andrei Lemeshev, Dmitry Zhdanov, Vadim Sokolov, Eugene Denisov, "The luminance value calculation in a gradient refractive index media," Proc. SPIE 11895, Optical Design and Testing XI, 118951F (9 October 2021); https://doi.org/10.1117/12.2601248