### Abstract

Commonly-used subdivision schemes require manifold control meshes and produce manifold surfaces. However, it is often necessary to model nonmanifold surfaces, such as several surface patches meeting at a common boundary. In this paper, we describe a subdivision algorithm that makes it possible to model nonmanifold surfaces. Any triangle mesh, subject only to the restriction that no two vertices of any triangle coincide, can serve as an input to the algorithm. Resulting surfaces consist of collections of manifold patches joined along nonmanifold curves and vertices. If desired, constraints may be imposed on the tangent planes of manifold patches sharing a curve or a vertex. The algorithm is an extension of a well-known Loop subdivision scheme, and uses techniques developed for piecewise smooth surfaces.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Visualization Conference |

Editors | T. Ertl, K. Joy, A. Varshney |

Pages | 325-331 |

Number of pages | 7 |

State | Published - 2001 |

Event | Visualization 2001 - San Diego, CA, United States Duration: Oct 21 2001 → Oct 26 2001 |

### Other

Other | Visualization 2001 |
---|---|

Country | United States |

City | San Diego, CA |

Period | 10/21/01 → 10/26/01 |

### Keywords

- Geometric modeling
- Nonmanifold surfaces
- Subdivision surfaces

### ASJC Scopus subject areas

- Computer Science(all)
- Engineering(all)

### Cite this

*Proceedings of the IEEE Visualization Conference*(pp. 325-331)

**Nonmanifold subdivision.** / Ying, L.; Zorin, Denis.

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

*Proceedings of the IEEE Visualization Conference.*pp. 325-331, Visualization 2001, San Diego, CA, United States, 10/21/01.

}

TY - GEN

T1 - Nonmanifold subdivision

AU - Ying, L.

AU - Zorin, Denis

PY - 2001

Y1 - 2001

N2 - Commonly-used subdivision schemes require manifold control meshes and produce manifold surfaces. However, it is often necessary to model nonmanifold surfaces, such as several surface patches meeting at a common boundary. In this paper, we describe a subdivision algorithm that makes it possible to model nonmanifold surfaces. Any triangle mesh, subject only to the restriction that no two vertices of any triangle coincide, can serve as an input to the algorithm. Resulting surfaces consist of collections of manifold patches joined along nonmanifold curves and vertices. If desired, constraints may be imposed on the tangent planes of manifold patches sharing a curve or a vertex. The algorithm is an extension of a well-known Loop subdivision scheme, and uses techniques developed for piecewise smooth surfaces.

AB - Commonly-used subdivision schemes require manifold control meshes and produce manifold surfaces. However, it is often necessary to model nonmanifold surfaces, such as several surface patches meeting at a common boundary. In this paper, we describe a subdivision algorithm that makes it possible to model nonmanifold surfaces. Any triangle mesh, subject only to the restriction that no two vertices of any triangle coincide, can serve as an input to the algorithm. Resulting surfaces consist of collections of manifold patches joined along nonmanifold curves and vertices. If desired, constraints may be imposed on the tangent planes of manifold patches sharing a curve or a vertex. The algorithm is an extension of a well-known Loop subdivision scheme, and uses techniques developed for piecewise smooth surfaces.

KW - Geometric modeling

KW - Nonmanifold surfaces

KW - Subdivision surfaces

UR - http://www.scopus.com/inward/record.url?scp=0035168108&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035168108&partnerID=8YFLogxK

M3 - Conference contribution

SP - 325

EP - 331

BT - Proceedings of the IEEE Visualization Conference

A2 - Ertl, T.

A2 - Joy, K.

A2 - Varshney, A.

ER -