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Techniques for assessing polygonal approximations of curves
Rosin, P.L.  
Dept. of Comput. Sci. & Inf. Syst., Brunel Univ., Uxbridge;

This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Jun 1997
Volume: 19,  Issue: 6
On page(s): 659-666
ISSN: 0162-8828
References Cited: 42
CODEN: ITPIDJ
INSPEC Accession Number: 5625820
Digital Object Identifier: 10.1109/34.601253
Current Version Published: 2002-08-06

Abstract
Given the enormous number of available methods for finding polygonal approximations to curves techniques are required to assess different algorithms. Some of the standard approaches are shown to be unsuitable if the approximations contain varying numbers of lines. Instead, we suggest assessing an algorithm's results relative to an optimal polygon, and describe a measure which combines the relative fidelity and efficiency of a curve segmentation. We use this measure to compare the application of 23 algorithms to a curve first used by Teh and Chin (1989); their integral square errors (ISEs) are assessed relative to the optimal ISE. In addition, using an example of pose estimation, it is shown how goal-directed evaluation can be used to select an appropriate assessment criterion

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