Iterative symmetry detection: Shrinking vs. decimating patterns

Article type: Research Article

Authors: Di Gesú, Vito^a | Zavidovique, Bertrand^{b; *}

Affiliations: [a] DMA, Palermo University, 90123 Palermo, Italy | [b] IEF, University of Paris XI, 91405 Orsay, France

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: This paper introduces a new mechanism that consists of applying a symmetry operator on an iteratively transformed version of the input image. The nature of the transformation characterizes the operator. Here, we consider the Object Symmetry Transform combined with the morphological operator erosion and the pyramid decimation respectively. The derived operators have been applied on both binary and gray levels images, comparing their ability to grasp the internal structure of a digital object. We present some experiments to evaluate their performances and check them for result quality versus computing complexity.

Keywords: Symmetry transforms, mathematical morphology, multi-resolution, feature extraction

DOI: 10.3233/ICA-2005-12401

Journal: Integrated Computer-Aided Engineering, vol. 12, no. 4, pp. 319-332, 2005