# Fast Algorithm for Optimal Polygonal Approximation of Shape Boundaries

### Prabhudev I. Hosur, Rolando A. Carrasco

#### Abstract

This paper presents fast optimal algorithm for approximation of a shape boundary with a polygon having minimum number of vertices for a given maximum tolerable approximation error. For this purpose, the directed acyclic graph (DAG) formulation of the polygonal approximation problem is considered. The reduction in computational complexity is achieved by reducing the number of admissible edges in the DAG and speeding up the process of determining whether the edge distortion is within the tolerable limit. The proposed algorithm is compared with other optimal algorithms in terms of the execution time.

#### References

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#### Paper Citation

#### in Harvard Style

I. Hosur P. and A. Carrasco R. (2005). **Fast Algorithm for Optimal Polygonal Approximation of Shape Boundaries** . In *Proceedings of the 5th International Workshop on Pattern Recognition in Information Systems - Volume 1: PRIS, (ICEIS 2005)* ISBN 972-8865-28-7, pages 104-113. DOI: 10.5220/0002579501040113

#### in Bibtex Style

@conference{pris05,

author={Prabhudev I. Hosur and Rolando A. Carrasco},

title={Fast Algorithm for Optimal Polygonal Approximation of Shape Boundaries},

booktitle={Proceedings of the 5th International Workshop on Pattern Recognition in Information Systems - Volume 1: PRIS, (ICEIS 2005)},

year={2005},

pages={104-113},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002579501040113},

isbn={972-8865-28-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 5th International Workshop on Pattern Recognition in Information Systems - Volume 1: PRIS, (ICEIS 2005)

TI - Fast Algorithm for Optimal Polygonal Approximation of Shape Boundaries

SN - 972-8865-28-7

AU - I. Hosur P.

AU - A. Carrasco R.

PY - 2005

SP - 104

EP - 113

DO - 10.5220/0002579501040113