A Robust Lane Detection Associated with Quaternion Hardy Filter

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.

[1]  Heming Jia,et al.  Multiverse Optimization Algorithm Based on Lévy Flight Improvement for Multithreshold Color Image Segmentation , 2019, IEEE Access.

[2]  Silvano Di Zenzo,et al.  A note on the gradient of a multi-image , 1986, Comput. Vis. Graph. Image Process..

[3]  Yung-Fang Chen,et al.  Average PSNR Optimized Cross Layer User Grouping and Resource Allocation for Uplink MU-MIMO OFDMA Video Communications , 2018, IEEE Access.

[4]  Elena Braverman,et al.  Removal of Mixed Gaussian and Impulse Noise Using Directional Tensor Product Complex Tight Framelets , 2015, Journal of Mathematical Imaging and Vision.

[5]  Cuiming Zou,et al.  Quaternion Collaborative and Sparse Representation With Application to Color Face Recognition. , 2016, IEEE transactions on image processing : a publication of the IEEE Signal Processing Society.

[6]  Dong Cheng,et al.  Plancherel theorem and quaternion Fourier transform for square integrable functions , 2016 .

[7]  Hong Liu,et al.  Improved direction estimation for Di Zenzo's multichannel image gradient operator , 2012, Pattern Recognit..

[8]  Dezhong Peng,et al.  Multi-View Linear Discriminant Analysis Network , 2019, IEEE Transactions on Image Processing.

[9]  Kit Ian Kou,et al.  Uncertainty principles associated with quaternionic linear canonical transforms , 2016 .

[10]  Yuan Yan Tang,et al.  Quaternionic Weber Local Descriptor of Color Images , 2017, IEEE Transactions on Circuits and Systems for Video Technology.

[11]  Soo-Chang Pei,et al.  Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT , 2001, IEEE Trans. Signal Process..

[12]  Cuiming Zou,et al.  Envelope detection using generalized analytic signal in 2D QLCT domains , 2017, Multidimens. Syst. Signal Process..

[13]  Wei-Yun Yau,et al.  Structured AutoEncoders for Subspace Clustering , 2018, IEEE Transactions on Image Processing.

[14]  T. Ell.  Hypercomplex spectral transformations , 1992 .

[15]  Kit Ian Kou,et al.  A Robust Lane Detection Associated with Quaternion Hardy Filter , 2020, ArXiv.

[16]  Chang-Hong Lin,et al.  Lane-mark extraction for automobiles under complex conditions , 2014, Pattern Recognit..

[17]  Eckhard Hitzer,et al.  The Quaternion Domain Fourier Transform and its Properties , 2015 .

[18]  Cuiming Zou,et al.  Edge detection methods based on modified differential phase congruency of monogenic signal , 2018, Multidimens. Syst. Signal Process..

[19]  Shuaiqi Liu,et al.  SAR image edge detection via sparse representation , 2018, Soft Comput..

[20]  Long Chen,et al.  Noise robust image edge detection based upon the automatic anisotropic Gaussian kernels , 2017, Pattern Recognit..

[21]  Dezhong Peng,et al.  Multimodal adversarial network for cross-modal retrieval , 2019, Knowl. Based Syst..

[22]  Kwanghoon Sohn,et al.  Real-time illumination invariant lane detection for lane departure warning system , 2015, Expert Syst. Appl..

[23]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[24]  Yuan Yan Tang,et al.  Weighted Joint Sparse Representation for Removing Mixed Noise in Image , 2017, IEEE Transactions on Cybernetics.

[25]  Haibo Huang,et al.  Nighttime lane markings recognition based on Canny detection and Hough transform , 2016, 2016 IEEE International Conference on Real-time Computing and Robotics (RCAR).

[26]  William Rowan Hamilton,et al.  ON QUATERNIONS, OR ON A NEW SYSTEM OF IMAGINARIES IN ALGEBRA , 1847 .

[27]  Stephen J. Sangwine,et al.  The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations , 2013, ArXiv.

[28]  Yongsheng Gao,et al.  Face Recognition Using Line Edge Map , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[29]  Michael Felsberg,et al.  The Monogenic Scale-Space: A Unifying Approach to Phase-Based Image Processing in Scale-Space , 2004, Journal of Mathematical Imaging and Vision.

[30]  Kit Ian Kou,et al.  Phase‐based edge detection algorithms , 2018 .

[31]  Elias M. Stein,et al.  Fourier Analysis: An Introduction , 2003 .

[32]  William E. Sabin.  The Hilbert Transform , 2007 .

[33]  Sos S. Agaian,et al.  Quaternion Fourier transform based alpha-rooting method for color image measurement and enhancement , 2015, Signal Process..

[34]  Kit Ian Kou,et al.  Quaternion Fourier and Linear Canonical Inversion Theorems , 2016 .

[35]  Penglang Shui,et al.  SAR Image Edge Detection Robust to Isolated Strong Scatterers Using Anisotropic Morphological Directional Ratio Test , 2018, IEEE Access.

[36]  Dana H. Ballard,et al.  Generalizing the Hough transform to detect arbitrary shapes , 1981, Pattern Recognit..

[37]  Wael Farag,et al.  Road Lane-Lines Detection in Real-Time for Advanced Driving Assistance Systems , 2018, 2018 International Conference on Innovation and Intelligence for Informatics, Computing, and Technologies (3ICT).

[38]  Yassin Kortli,et al.  A novel illumination-invariant lane detection system , 2017, 2017 2nd International Conference on Anti-Cyber Crimes (ICACC).

[39]  Stephen J. Sangwine,et al.  The discrete quaternion Fourier transform , 1997 .

[40]  Eckhard Hitzer.  General two-sided quaternion Fourier transform, convolution and Mustard convolution , 2016 .

[41]  Stephen J. Sangwine,et al.  Hypercomplex Fourier Transforms of Color Images , 2007, IEEE Trans. Image Process..

[42]  Quentin Barthelemy,et al.  Color Sparse Representations for Image Processing: Review, Models, and Prospects , 2015, IEEE Transactions on Image Processing.

[43]  Thomas Bülow,et al.  Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case , 2001, IEEE Trans. Signal Process..

[44]  Tong Zhang,et al.  Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators , 2018, IEEE Transactions on Cybernetics.

[45]  Ahmad A. Masoud,et al.  Using local structure for the reliable removal of noise from the output of the LoG edge detector , 1995, IEEE Trans. Syst. Man Cybern..

[46]  Xiangmin Xu,et al.  Hierarchical Lifelong Learning by Sharing Representations and Integrating Hypothesis , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.