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Proceedings Paper

Fitting ellipse equations and other geometric shapes to blobs
Author(s): Frederick M. Waltz
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Paper Abstract

The standard technique for estimating the size, location, and angle of rotation of an elliptically shaped blob in a binary image requires the calculation of the first and second moments of the blob. This approach requires that the blob be complete. If only part of the blob is present, this approach gives erroneous results. This paper presents techniques for fitting circles and ellipses to partial blobs using least-squares techniques. In the simpler cases, the solutions are in closed form, so that no iteration is required. In the more difficult problems some of the unknown parameters are eliminated, so that iteration is required on only one or two parameters. Partial- outline fitting techniques are also provided for triangles, squares, and hexagons.

Paper Details

Date Published: 1 November 1992
PDF: 12 pages
Proc. SPIE 1823, Machine Vision Applications, Architectures, and Systems Integration, (1 November 1992); doi: 10.1117/12.132058
Show Author Affiliations
Frederick M. Waltz, 3M Co. (United States)

Published in SPIE Proceedings Vol. 1823:
Machine Vision Applications, Architectures, and Systems Integration
Bruce G. Batchelor; Susan Snell Solomon; Frederick M. Waltz, Editor(s)

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