Graduate School of Engineering, Chiba University, Chiba, Japan.
Sci Rep. 2013;3:1931. doi: 10.1038/srep01931.
We have developed an algorithm for recording multiple gradated two-dimensional projection patterns in a single three-dimensional object. When a single pattern is observed, information from the other patterns can be treated as background noise. The proposed algorithm has two important features: the number of patterns that can be recorded is theoretically infinite and no meaningful information can be seen outside of the projection directions. We confirmed the effectiveness of the proposed algorithm by performing numerical simulations of two laser crystals: an octagonal prism that contained four patterns in four projection directions and a dodecahedron that contained six patterns in six directions. We also fabricated and demonstrated an actual prototype laser crystal from a glass cube engraved by a laser beam. This algorithm has applications in various fields, including media art, digital signage, and encryption technology.
我们开发了一种在单个三维物体中记录多个分级二维投影图案的算法。当观察单个图案时，可以将其他图案的信息视为背景噪声。所提出的算法具有两个重要特征：可以记录的图案数量在理论上是无限的，并且在投影方向之外无法看到有意义的信息。我们通过对两个激光晶体进行数值模拟来验证了所提出算法的有效性：一个八棱柱包含四个在四个投影方向上的图案，一个十二面体包含六个在六个方向上的图案。我们还制作并演示了一个实际的原型激光晶体，它是由激光束雕刻的玻璃立方体制成的。该算法在各种领域都有应用，包括媒体艺术、数字标识和加密技术。
