提出了一种新的基于三角网格结构的计算全息快速算法，此算法利用几何中的仿射变换原理，用解析表达式表示出三角网格的二维傅里叶频谱信息，不需要对物体中的每一个三角网格进行傅里叶变换，从而大大减少了计算量，提高了运算效率。实验结果证明，此算法简洁、快速，且能够取得较好的全息重建像，是一种提高计算全息运算速度的有效方法。

To improve the computational efficiency of computer generated hologram (CGH) and achieve the real-time nature of CGH, a novel fast CGH algorithm of triangle mesh models is put forward. In the algorithm, the Fourier spectral information of the triangle mesh is expressed as an analytic function by using affine transform theory and a Fourier transform does not need doing for per triangle mesh of the object. This algorithm reduces the amount of computation and improves the computational efficiency. The experimental results show that the new algorithm is simple and fast, which also can obtain the reconstruction image well. It is an effective method to improve the speed of CGH.