Measuring Straight Line Segments Using HT Butterflies

Abstract

This paper addresses the features of Hough Transform (HT) butterflies suitable for image-based segment detection and measurement. The full segment parameters such as the position, slope, width, length, continuity, and uniformity are related to the features of the HT butterflies. Mathematical analysis and experimental data are presented in order to demonstrate and build the relationship between the measurements of segments and the features of HT butterflies. An effective method is subsequently proposed to employ these relationships in order to discover the parameters of segments. Power line inspection is considered as an application of the proposed method. The application demonstrates that the proposed method is effective for power line inspection, especially for corner detection when they cross poles.

A variant of the Hough Transform for the combined detection of corners, segments, and polylines

“…In the study by Du et al [22], the authors propose a segment detection method based on the definition and analysis of the neighborhoods of straight line segments in the parameter space. In another study [23], the parameters of a line segment are obtained by analyzing the distinct distribution around a peak in the accumulator array. This distribution is called butterfly distribution due to its particular appearance.…”

Studies with a Liquid Argon Time Projection Chamber

“…In theory, the resolution can be increased by finer segmentation of the parameter space. 5.1, right) around local maxima [97]. However, apart from the memory issue, a finer segmentation also leads to a distribution of the votes attributed to one track in the image into several bins in the parameter space and thus reduces the intensity of local maxima, especially in the presence of noise and for tracks that do not follow a perfectly straight line (compare Sec.…”

A statistical method for line segment detection

“…The second class of methods is motivated by the butterfly shape [30,31] of a peak region in Hough space [32,33,34]. Butterfly features are used to extract parameters of a line segment.…”