A survey of the Hough transform
Computer Vision, Graphics, and Image Processing
Computational projective geometry
CVGIP: Image Understanding
Appendix—projective geometry for machine vision
Geometric invariance in computer vision
CVGIP: Image Understanding
Geometric computation for machine vision
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Effective detection of digital bar segments with Hough transform
CVGIP: Graphical Models and Image Processing
“Geometric properties” of sets of lines
Pattern Recognition Letters
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Picture Processing by Computer
ACM Computing Surveys (CSUR)
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Digital Picture Processing
The randomized-Hough-transform-based method for great-circle detection on sphere
Pattern Recognition Letters
N-Point Hough transform for line detection
Journal of Visual Communication and Image Representation
Ants with three primary colors for track initiation
Expert Systems with Applications: An International Journal
Three-primary-color pheromone for track initiation
ICSI'11 Proceedings of the Second international conference on Advances in swarm intelligence - Volume Part II
N-point hough transform derived by geometric duality
PSIVT'06 Proceedings of the First Pacific Rim conference on Advances in Image and Video Technology
Vanishing points in point-to-line mappings and other line parameterizations
Pattern Recognition Letters
Real-time detection of lines using parallel coordinates and OpenGL
Proceedings of the 27th Spring Conference on Computer Graphics
Real-time detection of lines using parallel coordinates and CUDA
Journal of Real-Time Image Processing
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In 1962 [US Patent 3069654], Hough used a linear point-to-line mapping (PTLM) to detect large sets of collinear points in an image, by mapping the points into concurrent lines and detecting peaks where many lines intersect. In 1972, Duda and Hart [Commun. ACM 15 (1972) 11] pointed out that Hough's method is not practical, because the peaks need not lie in a bounded region. They (and others after them) therefore developed methods of detecting sets of collinear points using nonlinear point-to-curve mappings that map collinear points into concurrent curves whose intersections do lie in a bounded range. In this paper we show that any PTLM that maps collinear points into concurrent lines must be linear, and that no such PTLM can map all the sets of collinear points in an image into peaks that lie in a bounded region; thus Duda and Hart's objection applies to any PTLM-based Hough transform.