关键词: 光场亮度分布, 非线性最小二乘, 多投影显示, 镜头渐晕

Abstract: A new practical mathematical model was presented to characterize the luminance distribution of projector-screen system. Based on the integration of the projector lens vignetting, the screen diffuse reflection and the parametric surface model, the proposed mathematical model provides an accurate description of the luminance distribution function with 28 adjustable parameters. These parameters can be determined by the nonlinear least squares method with a small quantity of measured luminance values on the sparse positions of a projection screen. Real applications imply that the proposed mathematical model can be widely applied to describe the luminance distribution of various types of projector-screen system. Therefore, it can be used to reduce the complexity of the real project for building a large multi-projectors display system.

Key words: luminance distribution, nonlinear least squares, multi-projector display, lens vignetting