Authors: Žunić, Joviša 
Rosin, Paul
Kopanja, Lazar
Title: On the orientability of shapes
Journal: IEEE Transactions on Image Processing
Volume: 15
Issue: 11
First page: 3478
Last page: 3487
Issue Date: 1-Jan-2006
Rank: M21a
ISSN: 1057-7149
DOI: 10.1109/TIP.2006.877527
Abstract: 
The orientation of a shape is a useful quantity, and has been shown to affect performance of object recognition in the human visual system. Shape orientation has also been used in computer vision to provide a properly oriented frame of reference, which can aid recognition. However, for certain shapes, the standard moment-based method of orientation estimation fails. We introduce as a new shape feature shape orientability, which defines the degree to which a shape has distinct (but not necessarily unique) orientation. A new method is described for measuring shape orientability, and has several desirable properties. In particular, unlike the standard moment-based measure of elongation, it is able to differentiate between the varying levels of orientability of n-fold rotationally symmetric shapes. Moreover, the new orientability measure is simple and efficient to compute (for an n-gon we describe an O(n) algorithm).
Keywords: Early vision | Image processing | Orientability | Orientation | Shape
Publisher: IEEE

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