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File:Resolution Figure.png

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This figure shows the effect of increasing the number of steps in a Hough circle transform.

The first panel shows a circle and three regular polygons: a 4-gon, 8-gon, and 16-gon.

The second panel shows a Hough circle transform with four steps. Since all the shapes are radially symmetrical with 90° rotations, they all have an equal peak score at their centroids.

The third panel shows a Hough circle transform with eight steps. Since the circle, 8-gon, and 16-gon radially symmetrical with 45° rotations, they all have an equal peak score at their centroids. These shapes have a higher score at their centroids than the 4-gon, because it lacks 45° radial symmetry.

The fourth panel shows a Hough circle transform with sixteen steps. Only the circle and 16-gon are radially symmetrical at this resolution, so their centroids have equally high scores, while the 4-gon and 8-gon have significantly lower scores.

The fifth panel shows a Hough circle transform with 400 steps. The centroid of the circle now has a higher score than all of the other shapes, allowing for the circle to be distinguished even from the 16-gon.

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Date/TimeThumbnailDimensionsUserComment
current20:06, 6 February 2017Thumbnail for version as of 20:06, 6 February 20172,632 × 512 (73 KB)Llamero (talk | contribs)This figure shows the effect of increasing the number of steps in a Hough circle transform. The first panel shows a circle and three regular polygons: a 4-gon, 8-gon, and 16-gon. The second panel shows a Hough circle transform with four steps. S...
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