A Robust Color Edge Detection Algorithm Based on Quaternion Hardy Filter
This is an incremental improvement for color image processing, offering better noise resistance and edge detection compared to existing methods.
The paper tackles color image edge detection by proposing a robust filter called quaternion Hardy filter (QHF) that enhances edges and resists noise, resulting in a minimum PSNR improvement of 2.3% and SSIM improvement of 30.2% on a dataset.
This paper presents a robust filter called quaternion Hardy filter (QHF) for color image edge detection. The QHF can be capable of color edge feature enhancement and noise resistance. It is flexible to use QHF by selecting suitable parameters to handle different levels of noise. In particular, the quaternion analytic signal, which is an effective tool in color image processing, can also be produced by quaternion Hardy filtering with specific parameters. Based on the QHF and the improved Di Zenzo gradient operator, a novel color edge detection algorithm is proposed. Importantly, it can be efficiently implemented by using the fast discrete quaternion Fourier transform technique. From the experimental results, we conclude that the minimum PSNR improvement rate is 2.3% and minimum SSIM improvement rate is 30.2% on the Dataset 3. The experiments demonstrate that the proposed algorithm outperforms several widely used algorithms.