Epsilon geometry: building robust algorithms from imprecise computations
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
A probabilistic Hough transform
Pattern Recognition
Probabilistic approach to the Hough transform
Image and Vision Computing
Fuzzy plane geometry I: points and lines
Fuzzy Sets and Systems
Robust detection of lines using the progressive probabilistic Hough transform
Computer Vision and Image Understanding - Special issue on robusst statistical techniques in image understanding
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
Fuzzy topological predicates, their properties, and their integration into query languages
Proceedings of the 9th ACM international symposium on Advances in geographic information systems
Design and implementation of finite resolution crisp and fuzzy spatial objects
Data & Knowledge Engineering
Using Gradient Information to Enhance the Progressive Probabilistic Hough Transform
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 3
ICIIS '99 Proceedings of the 1999 International Conference on Information Intelligence and Systems
Road lane segmentation using dynamic programming for active safety vehicles
Pattern Recognition Letters
An extended hyperbola model for road tracking for video-based personal navigation
Knowledge-Based Systems
Computational models for computing fuzzy cardinal directional relations between regions
Knowledge-Based Systems
Applying fuzzy method to vision-based lane detection and departure warning system
Expert Systems with Applications: An International Journal
The maximal distance between imprecise point objects
Fuzzy Sets and Systems
Robust line detection using two-orthogonal direction image scanning
Computer Vision and Image Understanding
Springrobot: a prototype autonomous vehicle and its algorithms for lane detection
IEEE Transactions on Intelligent Transportation Systems
Video-based lane estimation and tracking for driver assistance: survey, system, and evaluation
IEEE Transactions on Intelligent Transportation Systems
The fuzzy geometry of image subsets
Pattern Recognition Letters
A real-time system of lane detection and tracking based on optimized RANSAC B-spline fitting
Proceedings of the 2013 Research in Adaptive and Convergent Systems
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In this paper, we propose a new road lane model based on linear fuzzy space mathematics, coupled with a robust road lane detection method using fuzzy c-means clustering. The fuzzy line based road lane model presented here describes a lane as a set of fuzzy collinear fuzzy points. The proposed algorithm for road line detection is able to deal with imprecise data and enables reduced computational complexity (proportional to the number of fuzzy points multiplied by the number of fuzzy lines) versus a standard Hough transformation. Experimental results show that the proposed method is fast, and robust enough for use in real-time applications. The proposed method has been implemented as an Android-based mobile phone application.