Introduction -- Review of Hough Transform for Line Detection -- Variants of the Hough Transform for Straight Line Detection -- PClines - Line Parameterization Based on Parallel Coordinates -- Vanishing Points, Parallel Lines, Grids -- Efficient Implementation of PClines -- Conclusion -- PClines Octave Implementation -- Cross-Ratio in Matrix Form -- Horizon Orientation and Resampling Function -- Proof of the Equation for the Grid Lines.

This text provides a survey of the latest research into the Hough transform for line detection and its contemporary developments. Written with students in mind, this work can serve as a condensed textbook and as a reference for practitioners working in computer vision. The text also presents an overview and detailed elaboration of recent research related to PClines – a line parameterization based on parallel coordinates. A detailed analysis of the concept is given, including implementation details and measurements. One chapter discusses the detection of chessboard-like patterns, and sets of parallel lines and lines coincident with one (vanishing) point – a topic with many applications, such as 2D barcodes, aerial images, and architecture recognition. The work summarizes recent research in the field, and analyses new advances achieved using the PClines parameterization.