摘要
为解决传统优化方法在复杂场景中的适配性不足问题,文章提出了基于线性代数的光线均匀性优化算法。通过建立光源配置与目标区域光线分布之间的矩阵关系,以线性代数框架为核心构建优化模型,运用最小二乘法和约束优化技术求解光源强度配置问题,并结合奇异值分解(SVD)方法提升算法稳定性。结果表明,优化方法显著降低了光线分布的不均匀性,提升了目标区域的光照质量,有效减少了能耗,验证了算法在实际照明系统中的适用性。
In order to solve the problem of insufficient adaptation of traditional optimization methods in complex scenarios,this paper proposes a light uniformity optimization algorithm based on linear algebra.In this study,by establishing the matrix relationship between the light source configuration and the light distribution in the target area,constructing the optimization model with the linear algebra framework as the core,using the least squares method and constraint optimization technology to solve the light source intensity configuration problem,and combining the singular value decomposition(SVD)method to improve the stability of the algorithm.The results show that the optimization method significantly reduces the inhomogeneity of the light distribution,improves the light quality of the target area,and effectively reduces the energy consumption,and verifies the applicability of the algorithm in the actual lighting system.
作者
戴利杰
DAI Lijie(Shangqiu University Applied Science And Technology College,Kaifeng 475000,China)
出处
《中国照明电器》
2025年第7期102-104,共3页
China Light & Lighting
关键词
线性代数
照明系统
光线覆盖均匀性
linear algebra
linear algebra
uniformity of light coverage
