### Abstract

We present a method to reconstruct a pipe or a canal surface from a point cloud (a set of unorganized points). A pipe surface is defined by a spine curve and a constant radius of a swept sphere, while a variable radius may be used to define a canal surface. In this paper, by using the shrinking and moving least-squares methods, we reduce a point cloud to a thin curve-like point set which will be approximated to the spine curve of a pipe or canal surface. The distance between a point in the thin point cloud and a corresponding point in the original point set represents the radius of the pipe or canal surface.

Original language | English |
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Title of host publication | Proceedings - Geometric Modeling and Processing 2004 |

Editors | S.M. Hu, H. Pottmann |

Pages | 259-266 |

Number of pages | 8 |

Publication status | Published - 2004 Sep 29 |

Event | Proceedings - Geometric Modeling and Processing 2004 - Beijing, China Duration: 2004 Apr 13 → 2004 Apr 15 |

### Publication series

Name | Proceedings - Geometric Modeling and Processing 2004 |
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### Other

Other | Proceedings - Geometric Modeling and Processing 2004 |
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Country | China |

City | Beijing |

Period | 04/4/13 → 04/4/15 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

## Fingerprint Dive into the research topics of 'Shrinking: Another method for surface reconstruction'. Together they form a unique fingerprint.

## Cite this

Lee, I. K., & Kim, K. J. (2004). Shrinking: Another method for surface reconstruction. In S. M. Hu, & H. Pottmann (Eds.),

*Proceedings - Geometric Modeling and Processing 2004*(pp. 259-266). (Proceedings - Geometric Modeling and Processing 2004).