### 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) |
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Title of host publication | Proceedings of the ACM SIGGRAPH Conference on Computer Graphics |

Editors | Anon |

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 |
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City | New Orleans, LA, USA |

Period | 8/4/96 → 8/9/96 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)

### Cite this

*Proceedings of the ACM SIGGRAPH Conference on Computer Graphics*(pp. 189-192)

**Interpolating subdivision for meshes with arbitrary topology.** / Zorin, Denis; Schroder, Peter; Sweldens, Wim.

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

*Proceedings of the ACM SIGGRAPH Conference on Computer Graphics.*pp. 189-192, Proceedings of the 1996 Computer Graphics Conference, SIGGRAPH, New Orleans, LA, USA, 8/4/96.

}

TY - GEN

T1 - Interpolating subdivision for meshes with arbitrary topology

AU - Zorin, Denis

AU - Schroder, Peter

AU - Sweldens, Wim

PY - 1996

Y1 - 1996

N2 - 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 C1 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.

AB - 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 C1 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.

UR - http://www.scopus.com/inward/record.url?scp=0030385466&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030385466&partnerID=8YFLogxK

M3 - Conference contribution

SP - 189

EP - 192

BT - Proceedings of the ACM SIGGRAPH Conference on Computer Graphics

A2 - Anon, null

ER -