Detection of linear and circular shapes in image analysis

Authors:
T. Garlipp;C. H. Müller
Affiliations:
Institute of Mathematics, Carl von Ossietzky University of Oldenburg, D-26111 Oldenburg, Germany;Institute of Mathematics, Carl von Ossietzky University of Oldenburg, D-26111 Oldenburg, Germany and Department of Mathematics and Computer Science, University of Kassel, D-34109 Kassel, Germany
Venue:
Computational Statistics & Data Analysis
Year:
2006

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Abstract

A two-step algorithm is proposed for estimating linear and circular shapes in noisy images. Initially and based on a previously proposed method, the pixels which are close to the edges of the shape are detected. These edges are assumed to be coming from a mixture of (linear or circular) regression functions and the parameters of these functions are estimated. An example with a triangle demonstrates the immense advantage of using an outlier robust estimator for the edge points. A second example deals with a problem from biology where the detection of circular shapes of fungi colonies is of interest.