# A Robust Lane Detection Associated with Quaternion Hardy Filter

arXiv: https://arxiv.org/abs/2108.04356 · HTML: https://mlsanity.com/paper/2108.04356/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 67 references that are in the map.
- First posted on arXiv 6 Aug 2021.

## Builds on (most cited first, 3 of 3)

- [Real time Detection of Lane Markers in Urban Streets](https://mlsanity.com/paper/1411.7113/) (2014)
- [Quaternion Fourier Transform on Quaternion Fields and Generalizations](https://mlsanity.com/paper/1306.1023/) (2013)
- [The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations](https://mlsanity.com/paper/1306.2157/) (2013)

## Abstract (arXiv)

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.