Notes on shape orientation where the standard method does not work

  • Authors:

  • Joviša unić;Lazar Kopanja;Jonathan E. Fieldsend

  • Affiliations:

  • Computer Science Department, Exeter University, Exeter EX4 4QF, UK;Department of Mathematics and Informatics, Novi Sad University, 21000 Novi Sad, Trg D. Obradovića 4, Serbia and Montenegro;Computer Science Department, Exeter University, Exeter EX4 4QF, UK

  • Venue:
  • Pattern Recognition
  • Year:
  • 2006

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Abstract

In this paper we consider some questions related to the orientation of shapes with particular attention to the situation where the standard method does not work. There are irregular and non-symmetric shapes whose orientation cannot be computed in a standard way, but in the literature the most studied situations are those where the shape under consideration has more than two axes of symmetry or where it is an n-fold rotationally symmetric shape with n2. The basic reference for our work is [W.H. Tsai, S.L. Chou, Detection of generalized principal in rotationally symmetric shapes, Pattern Recognition 24 (1991) 95-104]. We give a very simple proof of the main result from [W.H. Tsai, S.L. Chou, Detection of generalized principal in rotationally symmetric shapes, Pattern Recognition 24 (1991) 95-104] and suggest a modification of the proposal on how the principal axes of rotationally symmetric shapes should be computed. We show some desirable property in defining the orientation of such shapes if the modified approach is applied. Also, we give some comments on the problems that arise when computing shape elongation.