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Detection and identification of elliptical structure arrangements in images: theory and algorithms

Pătrăucean, Viorica. Detection and identification of elliptical structure arrangements in images: theory and algorithms. PhD, Institut National Polytechnique de Toulouse, 2012

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Official URL: http://ethesis.inp-toulouse.fr/archive/00001847/

Abstract

This thesis deals with different aspects concerning the detection, fitting, and identification of elliptical features in digital images. We put the geometric feature detection in the a contrario statistical framework in order to obtain a combined parameter-free line segment, circular/elliptical arc detector, which controls the number of false detections. To improve the accuracy of the detected features, especially in cases of occluded circles/ellipses, a simple closed-form technique for conic fitting is introduced, which merges efficiently the algebraic distance with the gradient orientation. Identifying a configuration of coplanar circles in images through a discriminant signature usually requires the Euclidean reconstruction of the plane containing the circles. We propose an efficient signature computation method that bypasses the Euclidean reconstruction; it relies exclusively on invariant properties of the projective plane, being thus itself invariant under perspective.

Item Type:PhD Thesis
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Institution: Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
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Research Director:
Jessel, Jean-Pierre and Patriciu, Victor-Valeriu
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