Generalizing the Hough transform to detect arbitrary shapes

doi:10.1016/0031-3203(81)90009-1

Pattern Recognition

Volume 13, Issue 2, 1981, Pages 111-122

https://doi.org/10.1016/0031-3203(81)90009-1 Get rights and content

Abstract

The Hough transform is a method for detecting curves by exploiting the duality between points on a curve and parameters of that curve. The initial work showed how to detect both analytic curves^(1,2) and non-analytic curves,⁽³⁾ but these methods were restricted to binary edge images. This work was generalized to the detection of some analytic curves in grey level images, specifically lines,⁽⁴⁾ circles⁽⁵⁾ and parabolas.⁽⁶⁾ The line detection case is the best known of these and has been ingeniously exploited in several applications.^(7,8,9)

We show how the boundaries of an arbitrary non-analytic shape can be used to construct a mapping between image space and Hough transform space. Such a mapping can be exploited to detect instances of that particular shape in an image. Furthermore, variations in the shape such as rotations, scale changes or figure ground reversals correspond to straightforward transformations of this mapping. However, the most remarkable property is that such mappings can be composed to build mappings for complex shapes from the mappings of simpler component shapes. This makes the generalized Hough transform a kind of universal transform which can be used to find arbitrarily complex shapes.

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^☆: The research described in this report was supported in part by NIH Grant R23-HL-2153-01 and in part by the Alfred P. Sloan Foundation Grant 78-4-15.

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Generalizing the Hough transform to detect arbitrary shapes☆

Abstract

Pattern Recognition

Comput. Graphics Image Process.

Pattern Recognition

Comput. Graphics Image Process.

Use of the Hough transform to detect lines and curves in pictures

Communs Ass. comput. Mach.

Method and means for recognizing complex patterns

A parallel mechanism for detecting curves in pictures

IEEE Trans. Comput.

Finding picture edges through collinearity of feature points

Finding circles by an array of accumulators

Communs Ass. comput. Mach.

Locating straight-line edge segments on outdoor scenes

Velocity determination in scenes containing several moving objects