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A Fast Ellipse Detector Using Projective Invariant Pruning

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Indexed by:期刊论文

Date of Publication:2017-08-01

Journal:IEEE TRANSACTIONS ON IMAGE PROCESSING

Included Journals:SCIE、EI、Scopus

Volume:26

Issue:8

Page Number:3665-3679

ISSN No.:1057-7149

Key Words:Ellipse detection; projective invariant; real-time

Abstract:Detecting elliptical objects from an image is a central task in robot navigation and industrial diagnosis, where the detection time is always a critical issue. Existing methods are hardly applicable to these real-time scenarios of limited hardware resource due to the huge number of fragment candidates (edges or arcs) for fitting ellipse equations. In this paper, we present a fast algorithm detecting ellipses with high accuracy. The algorithm leverages a newly developed projective invariant to significantly prune the undesired candidates and to pick out elliptical ones. The invariant is able to reflect the intrinsic geometry of a planar curve, giving the value of -1 on any three collinear points and +1 for any six points on an ellipse. Thus, we apply the pruning and picking by simply comparing these binary values. Moreover, the calculation of the invariant only involves the determinant of a 3x3 matrix. Extensive experiments on three challenging data sets with 648 images demonstrate that our detector runs 20%-50% faster than the state-of-the-art algorithms with the comparable or higher precision.

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