介绍了在图像处理、模式识别领域中常用的Ｈｏｕｇｈ变换（ＨＴ），推导出了ＨＴ与Ｆｏｕｒｉｅｒ变换之间的关系，通过对光的传播、Ｆｏｕｒｉｅｒ光学及物镜变化的研究，实现了短的相干Ｈｏｕｇｈ物镜。 The Hough Transform (HT), which is commonly used in the field of image processing and pattern recognition, is introduced. The relationship between HT and Fourier transform is deduced. By studying the propagation of light, Fourier optics and the change of objective lens, short coherent Hough Objective lens.