An alternative approach to computing shape orientation with an application to compound shapes

Žunić, Joviša and Rosin, Paul L. ORCID: https://orcid.org/0000-0002-4965-3884 2008. An alternative approach to computing shape orientation with an application to compound shapes. International Journal of Computer Vision 81 (2) , pp. 138-154. 10.1007/s11263-008-0149-1

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Abstract

We consider the method that computes the shape orientation as the direction α that maximises the integral of the length of projections, taken to the power of 2N, of all the straight line segments whose end points belong to the shape, to a line that has the slope α. We show that for N=1 such a definition of shape orientation is consistent with the shape orientation defined by the axis of the least second moment of inertia. For N>1 this is not the case, and consequently our new method can produce different results. As an additional benefit our approach leads to a new method for computation of the orientation of compound objects.

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; Orientation; Image processing; Early vision
Publisher:	SpringerLink
ISSN:	0920-5691
Last Modified:	18 Oct 2022 13:30
URI:	https://orca.cardiff.ac.uk/id/eprint/14134

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