A Robust Color Edge Detection Algorithm Based on Quaternion Hardy Filter

Abstract

In this article, a robust color-edge feature extraction method based on the Quaternion Hardy filter is proposed. The Quaternion Hardy filter is an emerging edge detection theory. It is along with the Poisson and conjugate Poisson smoothing kernels to handle various types of noise. Combining with the Quaternion Hardy filter, Jin's color gradient operator and Hough transform, the color-edge feature detection algorithm is proposed and applied to the lane marking detection. Experiments are presented to demonstrate the validity of the proposed algorithm. The results are accurate and robust with respect to the complex environment lane markings.

A Robust Lane Detection Associated with Quaternion Hardy Filter

“…Quaternion analysis recently draws wide attention in color image processing. [8][9][10][11][12] The recently developed concepts of quaternion Fourier transform, [13][14][15][16][17] quaternion representation 10 and quaternion analytic signal, 8,9,18 which are based on quaternion algebra, have been found to be an indispensable tool in the representation of the multidimensional signal. In earlier 1992, Ell 19 studied the two-sided quaternion Fourier transform and apply it to the color image analysis.…”

“…8 The goal of this study is introducing a novel lane-mark extraction algorithm which can handle complex scenarios. Firstly, edge enhancement based on Quaternion Hardy filter 18 was used to enhance the pre-processing lane image's edges. Then, the edges were detected by Jin's color detector 21 which is based on Di Zenzo's multichannel image gradient operator and combined with the straight lines which were detected by Hough transform.…”