An Alternative Approach to Computing Shape Orientation with an Application to Compound Shapes

Authors:
Joviša Žunić;Paul L. Rosin
Affiliations:
Department of Computer Science, University of Exeter, Exeter, UK EX4 4QF and Mathematical Institute, Serbian Academy of Arts and Sciences, Belgrade, Serbia;School of Computer Science, Cardiff University, Cardiff, UK CF24 3AA
Venue:
International Journal of Computer Vision
Year:
2009

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Abstract

We consider the method that computes the shape orientation as the direction 驴 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 驴. 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 N1 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.