光栅立体画广泛应用于户外大型广告、巨幅海报及舞台背景墙。针对目前光栅立体画视点数少、立体感弱、视点串扰等问题，提出了基于柱镜光栅的超多视点大幅面立体画设计方法。根据人眼的视觉原理和柱镜的光传输特性，推导了柱镜厚度、曲率半径、光栅节距等参数的计算公式。设计了满足观看距离6 m、观看区域3 m、视点数59个的柱镜光栅。利用光学设计软件LightTools模拟了该系统的视点分布，视点宽度为50 mm，小于正常成年人眼瞳距。设计了圆弧形柱镜光栅减小视点串扰，视点串扰值为11.7%~15.8%。对模拟结果进行了实验验证，结果表明所设计的超多视点大幅面立体画满足自由立体观看的要求。
Stereoscopic paintings are widely used in outdoor advertisements, giant posters, and stage backgrounds. Current stereoscopic paintings have some defects, such as a few viewpoints, poor stereoscopic perception, and serious crosstalk. This paper describes a super multi-view large stereoscopic painting design. The formulas are derived based on the vision principle of human eyes and the optical transmission characteristics of a cylindrical lens to calculate the thickness of the cylindrical lens, the radius of curvature, and the grating pitch. The viewing distance is 6 m and the viewing area width is 3 m with 59 viewpoints. The viewpoint distribution is simulated by the optical design software called LightTools. The viewpoint width is 50 mm, which is less than the distance between normal adult pupils. The circular lenticular lens array is designed to reduce the crosstalk between viewpoints with crosstalk of 11.7%-15.8%. The simulation results are verified by experiments which show that the super multi-view large stereoscopic painting design meets the requirements for auto-stereoscopic viewing.
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