### Abstract

Original language | English |
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Title of host publication | Mathematics of Surfaces XII |

Subtitle of host publication | Proceedings of 12th IMA International Conference, Sheffield, UK, September 4-6, 2007 |

Editors | Ralph Martin, Malcolm Sabin, Joab Winkler |

Place of Publication | Berlin |

Publisher | Springer-Verlag |

Pages | 307-319 |

Number of pages | 12 |

ISBN (Electronic) | 9783540738435 |

ISBN (Print) | 9783540738428 |

DOIs | |

Publication status | Published - 2007 |

Event | 12th IMA International Conference on the Mathematics of Surfaces - Sheffield, United Kingdom Duration: 4 Sep 2007 → 6 Sep 2007 Conference number: 12 |

### Publication series

Name | Lecture Notes in Computer Science |
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Publisher | Springer-Verlag |

Number | 4647 |

ISSN (Print) | 0302-9743 |

### Conference

Conference | 12th IMA International Conference on the Mathematics of Surfaces |
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Abbreviated title | IMA |

Country | United Kingdom |

City | Sheffield |

Period | 4/09/07 → 6/09/07 |

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### Cite this

*Mathematics of Surfaces XII: Proceedings of 12th IMA International Conference, Sheffield, UK, September 4-6, 2007*(pp. 307-319). (Lecture Notes in Computer Science; No. 4647). Berlin: Springer-Verlag. https://doi.org/10.1007/978-3-540-73843-5_19

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*Mathematics of Surfaces XII: Proceedings of 12th IMA International Conference, Sheffield, UK, September 4-6, 2007.*Lecture Notes in Computer Science, no. 4647, Springer-Verlag, Berlin, pp. 307-319, 12th IMA International Conference on the Mathematics of Surfaces, Sheffield, United Kingdom, 4/09/07. https://doi.org/10.1007/978-3-540-73843-5_19

**Estimation of end curvatures from planar point data.** / Ma, Xinhui; Cripps, Robert J.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Estimation of end curvatures from planar point data

AU - Ma, Xinhui

AU - Cripps, Robert J.

PY - 2007

Y1 - 2007

N2 - Given a string of discrete planar points, the estimation of principal curvature vectors using circle fitting and Richardson’s extrapolation principle has been considered by several authors. However, these methods can not be directly applied to end points, due to symmetry. This article extends these methods to cope with end points. The method is based on the construction of interpolating circles using the first (or last) four data points. Error analysis suggests that the accuracy of curvature estimation using circle fitting is determined by arc-lengths and derivatives of curvature with respect to arc-length. A comparison is made between the proposed four-point method and the well established three-point method.

AB - Given a string of discrete planar points, the estimation of principal curvature vectors using circle fitting and Richardson’s extrapolation principle has been considered by several authors. However, these methods can not be directly applied to end points, due to symmetry. This article extends these methods to cope with end points. The method is based on the construction of interpolating circles using the first (or last) four data points. Error analysis suggests that the accuracy of curvature estimation using circle fitting is determined by arc-lengths and derivatives of curvature with respect to arc-length. A comparison is made between the proposed four-point method and the well established three-point method.

U2 - 10.1007/978-3-540-73843-5_19

DO - 10.1007/978-3-540-73843-5_19

M3 - Conference contribution

SN - 9783540738428

T3 - Lecture Notes in Computer Science

SP - 307

EP - 319

BT - Mathematics of Surfaces XII

A2 - Martin, Ralph

A2 - Sabin, Malcolm

A2 - Winkler, Joab

PB - Springer-Verlag

CY - Berlin

ER -