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The linear Hough transform algorithm estimates the two parameters that define a straight line. The transform space has two dimensions, and every point in the transform space is used as an accumulator to detect or identify a line described by r = x cos θ + y sin θ {\displaystyle r=x\cos \theta +y\sin \theta } .
The Hough transform [3] can be used to detect lines and the output is a parametric description of the lines in an image, for example ρ = r cos(θ) + c sin(θ). [1] If there is a line in a row and column based image space, it can be defined ρ, the distance from the origin to the line along a perpendicular to the line, and θ, the angle of the perpendicular projection from the origin to the ...
The generalized Hough transform (GHT), introduced by Dana H. Ballard in 1981, is the modification of the Hough transform using the principle of template matching. [1] The Hough transform was initially developed to detect analytically defined shapes (e.g., line, circle, ellipse etc.). In these cases, we have knowledge of the shape and aim to ...
Hough transforms are techniques for object detection, a critical step in many implementations of computer vision, or data mining from images. Specifically, the Randomized Hough transform is a probabilistic variant to the classical Hough transform, and is commonly used to detect curves (straight line, circle, ellipse, etc.) [1] The basic idea of Hough transform (HT) is to implement a voting ...
Therefore, one expects that line detection algorithms should successfully detect these lines in practice. Indeed, the following figure demonstrates Hough transform-based line detection applied to a perspective-transformed chessboard image. Clearly, the Hough transform is able to accurately detect the lines induced by the board squares.
If Hough transforms are used to detect lines and ellipses, then thinning could give much better results. If the edge happens to be the boundary of a region, then thinning could easily give the image parameters like perimeter without much algebra.
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English: This image shows the first step of the Hough transform, for three points and with five possible angle groupings. The leftmost image shows the first point being transformed. First, lines of different angles are plotted, all going through the first point. For each of the lines, the perpendicular which also bisects the origin is found.