### Abstract

Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is controlled by the initial mesh. Of particular interest are interpolating schemes since they match the original data exactly, and play an important role in fast multiresolution and wavelet techniques. Dyn, Gregory, and Levin introduced the Butterfly scheme, which yields C^{1} surfaces in the topologically regular setting. Unfortunately it exhibits undesirable artifacts in the case of an irregular topology. We examine these failures and derive an improved scheme, which retains the simplicity of the Butterfly scheme, is interpolating, and results in smoother surfaces.

Original language | English (US) |
---|---|

Pages | 189-192 |

Number of pages | 4 |

State | Published - 1996 |

Event | Proceedings of the 1996 Computer Graphics Conference, SIGGRAPH - New Orleans, LA, USA Duration: Aug 4 1996 → Aug 9 1996 |

### Other

Other | Proceedings of the 1996 Computer Graphics Conference, SIGGRAPH |
---|---|

City | New Orleans, LA, USA |

Period | 8/4/96 → 8/9/96 |

### ASJC Scopus subject areas

- Computer Science(all)

## Fingerprint Dive into the research topics of 'Interpolating subdivision for meshes with arbitrary topology'. Together they form a unique fingerprint.

## Cite this

*Interpolating subdivision for meshes with arbitrary topology*. 189-192. Paper presented at Proceedings of the 1996 Computer Graphics Conference, SIGGRAPH, New Orleans, LA, USA, .