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Unsupervised generation of polygonal approximations based on the convex hull.

Authors :
Fernández García, Nicolás Luis
Martínez, Luis Del-Moral
Poyato, Ángel Carmona
Madrid Cuevas, Francisco José
Carnicer, Rafael Medina
Source :
Pattern Recognition Letters. Jul2020, Vol. 135, p138-145. 8p.
Publication Year :
2020

Abstract

• A new approach for generation of polygonal approximations based on the convex hull of contour is proposed. • The proposed algorithm takes into account the symmetry of the contour. • A final improvement process is applied to increase the quality of the polygonal approximation. • The new algorithm is non-optimal but unsupervised (automatic), because no parameters have to be set or tuned. • Experiments using a public available dataset show that the new proposal outperforms other unsupervised algorithms. The present paper proposes a new non-optimal but unsupervised algorithm, called ICT-RDP , for generation of polygonal approximations based on the convex hull. Firstly, the new algorithm takes into account the convex hull of the 2D closed curves or contours to select a set of initial points; secondly, the significance levels of the contour points are computed using a symmetric version of the well-known Ramer, Douglas-Peucker algorithm; and, finally, a thresholding process is applied to obtain the vertices or dominant points of the polygonal approximation. Since the convex hull can select many initial points in rounded parts of the contour, an additional deletion process is required to remove quasi-collinear dominant points. Furthermore, an additional improvement process is applied to shift the dominant points in order to increase the quality of the polygonal approximation. Experiments performed on a public available dataset show that the new proposal outperforms other unsupervised algorithms for generation of polygonal approximations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01678655
Volume :
135
Database :
Academic Search Index
Journal :
Pattern Recognition Letters
Publication Type :
Academic Journal
Accession number :
143780620
Full Text :
https://doi.org/10.1016/j.patrec.2020.04.014