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Bidimensional Shapes Polygonalization by ACO

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Ant Algorithms (ANTS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2463))

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Abstract

Polygonalization is a way to approximate curves by straight-line segments. All the polygonalization methods use thresholds to produce the extreme points of the straight lines used in the approximation [1],[2],[3]. The method here introduced does not use thresholds to select the points. Ant Colony Optimization (ACO) is an optimization paradigm that mimics the exploration strategy of a colony of ants [4]. Images containing bi-dimensional shapes have been considered in this work. The goal is to find a good polygonal approximation of the contours of these images. The ants travel on segments connecting the points of the contours. Two points define a path in the ant travel. The points number of the polygonal approximation (num_steps) is user-defined. Last point connects with the first one. The two catheti AB and BC in Fig. 1 are a better curve approximation than the hypotenuse AC. AB + BC is longer than AC.

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References

  1. Williams, C., Bounded straigth-line approximation of digitized planar curves and lines. Computer Graphics Image Processing, 16: 370–381 (1981)

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  4. Stützle, T., Dorigo, M.: ACO Algorithms for the Quadratic Assignment Problem. In New Ideas in Optimization, McGraw-Hill (1999)

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© 2002 Springer-Verlag Berlin Heidelberg

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Vallone, U. (2002). Bidimensional Shapes Polygonalization by ACO. In: Dorigo, M., Di Caro, G., Sampels, M. (eds) Ant Algorithms. ANTS 2002. Lecture Notes in Computer Science, vol 2463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45724-0_33

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  • DOI: https://doi.org/10.1007/3-540-45724-0_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44146-5

  • Online ISBN: 978-3-540-45724-4

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