1995
DOI: 10.1016/0031-3203(94)00077-y
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A fast ellipse/circle detector using geometric symmetry

Abstract: Through the use of a global geometric symmetry, a fast ellipse/circle detector is proposed in this paper. Based on the geometric symmetry, the proposed method first locates candidates of ellipse and circle centers. In the meantime, according to these candidate centers, all feature points in an input image are grouped into several subimages. Then, for each subimage, by using geometric symmetry again, all ellipses and circles are obtained. The method significantly reduces the time required to evaluate all possib… Show more

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Cited by 163 publications
(51 citation statements)
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“…Some researchers have provided methods for elliptical object detection using geometrical properties [8,18] and the Hough transform [19]. A working environment for this study is electronic catalogs, which include objects like pans, pots, cups, and plates.…”
Section: The Proposed Methodsmentioning
confidence: 99%
“…Some researchers have provided methods for elliptical object detection using geometrical properties [8,18] and the Hough transform [19]. A working environment for this study is electronic catalogs, which include objects like pans, pots, cups, and plates.…”
Section: The Proposed Methodsmentioning
confidence: 99%
“…Besides the use of edge orientation as that in GHT, these major modifications include: the simultaneous consideration of a range of circle radii [12], [14], [15], use of a complex accumulator array with radius modulated phase [15]- [17], incorporation of different sampling strategies [18]- [21], exploration of the symmetry [3], [22], [23], adoption of the hierarchical structure [24], and the implementation of the circle detection as filtering operations [17]. It is worth noting that these modifications are not isolated, in fact, they usually work in cooperation.…”
Section: Circle Detectionmentioning
confidence: 99%
“…To explore the symmetry avoids the voting stage required by the Hough transform and improves the efficiency. It can be directly generalized to ellipse detection [3], [22], [23].…”
Section: Exploring the Symmetrymentioning
confidence: 99%
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“…An ellipse has five parameters, so it requires a five-dimensional parameter space, but in our case, we reduce the parameter space to compute only the center-two parameters-of the ellipses. Some techniques (like those in [1,8,9,16,13]) have appeared to overcome the excessive computational cost and space requirements needed. They normally decompose the five-dimensional parameter space into several subspaces of fewer dimensions.…”
Section: Introductionmentioning
confidence: 99%