We implement Monte Carlo-based parallel ray tracing to achieve quick irradiance evaluation for freeform lenses with nonuniform rational B-splines(NURBS)surfaces.We employ the inverse transform sampling method to sampl...We implement Monte Carlo-based parallel ray tracing to achieve quick irradiance evaluation for freeform lenses with nonuniform rational B-splines(NURBS)surfaces.We employ the inverse transform sampling method to sample rays uniformly from the Lambertian light source and adopt the analytical form of the B-spline basis function to achieve fast surface interpolation.When performing parallel calculations for the intersections between the rays and the NURBS surfaces,we propose a parameter transformation method to avoid the parameters escaping from the defined range in the iteration process.Simulation results of two complex picture-generating freeform lenses show that our method is fast and effective.展开更多
基金This work was supported by the Scientific Instrument Developing Project of the Chinese Academy of Sciences(No.YJKYYQ20190027)Youth Innovation Promotion Association,Chinese Academy of Science(No.2021255)+2 种基金Shandong Energy Research Institute Enterprise Joint Fund(SE1 U202312)"Strategic Priority Research Program"of the Chinese Academy of Sciences(No.XDA02020000)the National Natural Science Foundation of China(No.22273065).
基金supported by the National Key Research and Development Program of China(No.2017YFA0701200)the National Natural Science Foundation of China(No.11704030)the CAAI-Huawei MindSpore Open Fund(No.CAAIXSJLJJ-2021-014A)。
文摘We implement Monte Carlo-based parallel ray tracing to achieve quick irradiance evaluation for freeform lenses with nonuniform rational B-splines(NURBS)surfaces.We employ the inverse transform sampling method to sample rays uniformly from the Lambertian light source and adopt the analytical form of the B-spline basis function to achieve fast surface interpolation.When performing parallel calculations for the intersections between the rays and the NURBS surfaces,we propose a parameter transformation method to avoid the parameters escaping from the defined range in the iteration process.Simulation results of two complex picture-generating freeform lenses show that our method is fast and effective.
