Fan filter palys an important role in direction detection of images. In this paper, a simple but efficient method is proposed for the design of two-dimensional (2D) fan filters with arbitrary orientations. The proposed method is based on the polar Fourier transform (PFT) and a wedge-shaped filter. Firstly, the wedge-shaped filter is transformed to the polar Fourier domain. Then, by taking the rotation advantage of PFT, this wedge-shaped filter is rotated via shifting its PFT along the horizontal axis. By doing so, a series of arbitrarily-orientated fan filters are obtained and these obtained fan filters can detect the image information in arbitrary directions. Furthermore, since the design process involves no 2D optimization, the advantage of easy design is also achieved. To varify their directional sensetivity, the designed fan filters are applied to detect the texture direction of images. Experiment results show that the proposed fan filters has great potential in texture detection.