Joan Manuel Villa-Hernández, Arturo Olivares-Pérez, Roxana Herran-Cuspinera, José Luis Juárez-Pérez, Luis Mancio, Rocío Delesma
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引用次数: 0
Abstract
Techniques for producing fast Huygens–Fresnel–Kirchhoff digital holograms using kernel symmetry are studied. This study demonstrates non-linear behavior in computing time, as the sampled area changes with respect to the propagated diffracted area. Given the large amount of data involved in 3D object formation, symmetries are crucial in reducing the computational time. The evaluation of diffraction patterns is implemented to avoid redundant calculations while preserving the precision of the results. This algorithm decreases the required computing time depending on the symmetry of the axes, compared to direct calculation. Interestingly, the reduction in computing time relative to the number of symmetries is not linear. Computing time curves are presented. Some redundant computations are determined by the initial conditions of the object matrix, whether even or odd, along its x and y axes. Diagonal symmetries possess intrinsic redundancy along their axes. The rotation of the image must align with the rotation of the geometric coordinates in each section to ensure accurate calculations.
研究了利用核对称性快速制作惠更斯-菲涅尔-基尔霍夫数字全息图的技术。这项研究表明,随着采样区域相对于传播衍射区域的变化,计算时间也会发生非线性变化。鉴于三维物体形成涉及大量数据,对称性对于减少计算时间至关重要。对衍射图样进行评估是为了避免冗余计算,同时保持计算结果的精确性。与直接计算相比,该算法可根据轴对称性减少所需的计算时间。有趣的是,计算时间的减少与对称性的数量无关。计算时间曲线如下。一些冗余计算是由对象矩阵的初始条件决定的,无论是偶数还是奇数,都是沿其 x 轴和 y 轴进行的。对角对称矩阵沿其轴线具有内在冗余。图像的旋转必须与各部分几何坐标的旋转一致,以确保计算的准确性。