Orientation and anisotropy of multi-component shapes from boundary information

Rosin, Paul L. ORCID: https://orcid.org/0000-0002-4965-3884 and Žunić, J. 2011. Orientation and anisotropy of multi-component shapes from boundary information. Pattern Recognition 44 (9) , pp. 2147-2160. 10.1016/j.patcog.2011.02.018

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Abstract

We define a method for computing the orientation of compound shapes based on boundary information. The orientation of a given compound shape S is taken as the direction α that maximises the integral of the squared length of projections, of all the straight line segments whose end points belong to particular boundaries of components of S to a line that has the slope α. Just as the concept of orientation can be extended from single component shapes to multiple components, elongation can also be applied to multiple components, and we will see that it effectively produces a measure of anisotropy since it is maximised when all components are aligned in the same direction. The presented method enables a closed formula for an easy computation of both orientation and anisotropy.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	Shape; Compound shape; Orientation; Anisotropy; Image processing; Early vision
Publisher:	Elsevier
ISSN:	0031-3203
Date of First Compliant Deposit:	30 March 2016
Last Modified:	02 Dec 2024 19:45
URI:	https://orca.cardiff.ac.uk/id/eprint/27592

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