Natural Representations for Straight Lines and the Hough Transform on Discrete Arrays
IEEE Transactions on Pattern Analysis and Machine Intelligence
Antialiasing the Hough transform
CVGIP: Graphical Models and Image Processing
A robust Hough transform technique for complete line segment description
Real-Time Imaging
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
Detecting line segments in an image: a new implementation for Hough transform
Pattern Recognition Letters
Pattern Recognition Letters
Error propagation for the Hough transform
Pattern Recognition Letters
Truncating the Hough transform parameter space can be beneficial
Pattern Recognition Letters
Spatial Decomposition of the Hough Transform
CRV '05 Proceedings of the 2nd Canadian conference on Computer and Robot Vision
Accuracy of the straight line Hough transform: the non-voting approach
Computer Vision and Image Understanding
On the Discretization of Parameter Domain in Hough Transformation
ICPR '96 Proceedings of the 13th International Conference on Pattern Recognition - Volume 2
Extended Hough transform for linear feature detection
Pattern Recognition
Real-time line detection through an improved Hough transform voting scheme
Pattern Recognition
Dynamically quantized spaces for focusing the Hough Transform
IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 2
Detecting straight line segments using a triangular neighborhood
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part III
A super resolution algorithm to improve the hough transform
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part I
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The distance between a straight line and a straight line segment in the image space is proposed in this paper. Based on this distance, the neighborhood of a straight line segment is defined and mapped into the parameter space to obtain the parameter space neighborhood of the straight line segment. The neighborhood mapping between the image space and parameter space is a one to one reversible map. The mapped region in the parameter space is analytically derived and it is proved that it can be efficiently approximated by a quadrangle. The proposed straight line segment neighborhood technique for the HT outperforms conventional straight line neighborhood methods currently used with existing HT variations. In contrast to the straight line neighborhoods used in existing HT variations, the proposed straight line segment neighborhood has several advantages including: 1) the detection error of the proposed neighborhood is not affected by the length of the straight line segments; 2) a precision requirement in the image space described using the proposed distance can be explicitly resolved using the proposed formulation; 3) the proposed neighborhood has the ability to distinguish between segments belonging to the same straight line. A variety of experiments are executed to demonstrate that the proposed neighborhood has a variety of interesting properties of high practical value.