A Near-Linear Time Guaranteed Algorithm for Digital Curve Simplification Under the Fréchet Distance
In this paper, we propose an algorithm that, from a maximum error and a digital curve (4- or 8-connected), computes a simplification of the curve (a polygonal curve) such that the Fréchet distance between the original and the simplified curve is less than the error. The Fréchet distance is known to...
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| Vydané v: | Image processing on line Ročník 4; s. 116 - 127 |
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| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
IPOL - Image Processing on Line
01.01.2014
Image Processing On Line |
| Predmet: | |
| ISSN: | 2105-1232, 2105-1232 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | In this paper, we propose an algorithm that, from a maximum error and a digital curve (4- or 8-connected), computes a simplification of the curve (a polygonal curve) such that the Fréchet distance between the original and the simplified curve is less than the error. The Fréchet distance is known to nicely measure the similarity between two curves. The algorithm we propose uses an approximation of the Fréchet distance, but a guarantee over the quality of the simplification is proved. Moreover, even if the theoretical complexity of the algorithm is in O(n log(n)), experiments show a linear behaviour in practice. |
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| ISSN: | 2105-1232 2105-1232 |
| DOI: | 10.5201/ipol.2014.70 |