微镜头阵列球面排布方法研究

Research of Micro-Ienses Packing Strategy on Spherical Surface

为了解决微镜头阵列在球面上的排布问题,提出了一种通用的基于正二十面体阵列点微移动排布方法。采用与排布球面同心正二十面体点阵投射方法获取微镜头中心点在球面上的初始排布。以弦长率和填充率为评价函数,采用点阵微移动法对此初始结构进行优化。完成方法通用性测试并和一种基于局部球面的经纬线排布法进行对比。实验结果表明,在排布球冠面立体角较大、微相机数量较多的情况下,采用该方法可以获得弦长率低于0.17,填充率达到75%以上的排布表现,同时其良好的排布对称性有效提高了微镜头阵列的成像性能。

An universal perturbed icosahedral projection packing method is presented to solve spherical surface packing problem. First of all, original packing positions is obtained by using icosahedral points projection on its concentric spherical surface. Then, using chord ratio and packing density as merit values, perturbed points moving strategy is used to optimize these initial positions. Finally, universal property of this method is tested by changing the number of packing points. In addition, this method is compared with another packing method, so called hexagonal density packing along longitude and latitude, which is based on local strategy. The result shows that this method is rather effective when the packing solid angle is large and the number of packing lenses is huge, the chord ratio can be reduced below 0.17, and the packing density can be increased above 75%, accompanied with outstanding symmetry, an excellent imaging performance is guaranteed.