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魏静如, 吕琳, 杨承磊. 复杂区域的光源优化布局算法[J]. 计算机辅助设计与图形学学报, 2015, 27(10): 1944-1949.
引用本文: 魏静如, 吕琳, 杨承磊. 复杂区域的光源优化布局算法[J]. 计算机辅助设计与图形学学报, 2015, 27(10): 1944-1949.
Wei Jingru, Lu Lin, Yang Chenglei. A Lighting Design Algorithm in Complex Regions[J]. Journal of Computer-Aided Design & Computer Graphics, 2015, 27(10): 1944-1949.
Citation: Wei Jingru, Lu Lin, Yang Chenglei. A Lighting Design Algorithm in Complex Regions[J]. Journal of Computer-Aided Design & Computer Graphics, 2015, 27(10): 1944-1949.

复杂区域的光源优化布局算法

A Lighting Design Algorithm in Complex Regions

  • 摘要: 光源的优化布局是室内设计与装饰中的一个重要问题.针对复杂场景下的光源布局,考虑到光遇到多边形边界或障碍物时受到的影响,提出一种基于可见Voronoi图的最优覆盖算法.首先根据光衰减的特性将复杂区域中的光源最优覆盖问题抽象为最小圆覆盖问题;然后以可见Voronoi图的概念为基础对给定目标区域进行划分;最后利用Lloyd迭代的思想移动光源,直至达到合适的位置,从而实现光源的重新布局.利用三维渲染引擎及图像熵的特性进行仿真及分析的结果表明,在复杂区域中,该算法在消耗较少能量的前提下可以得到很好的灯光效果,从而验证了算法的可行性.

     

    Abstract: Lighting layout design is an important problem in interior design and decoration. We propose an algorithm for optimizing the light source placement in complex regions, considering the light attenuation caused by the boundary walls or obstacles. We treat the lighting layout problem as an area coverage problem in a non-convex region. We use the visible Voronoi diagram for partitioning the given region. We optimize the position of each light source following the Lloyd’s method until each reaches the steady position. Finally, we simulate the result layout using three-dimensional rendering engine and analyze the entropy of the rendered image. Experimental results show that a satisfactory lighting effect with little energy consumption is achieved, which proves the feasibility of the algorithm.

     

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