### Abstract

We present a method to globally parameterize a surface represented by height maps over a set of planes (range images). In contrast to other parametrization techniques, we do not start with a manifold mesh. The parametrization we compute defines a manifold structure, it is seamless and globally smooth, can be aligned to geometric features and shows good quality in terms of angle and area preservation, comparable to current parametrization techniques for meshes. Computing such global seamless parametrization makes it possible to perform quad remeshing, texture mapping and texture synthesis and many other types of geometry processing operations. Our approach is based on a formulation of the Poisson equation on a manifold structure defined for the surface by the range images. Construction of such global parametrization requires only a way to project surface data onto a set of planes, and can be applied directly to implicit surfaces, nonmanifold surfaces, very large meshes, and collections of range scans. We demonstrate application of our technique to all these geometry types.

Original language | English (US) |
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Title of host publication | Proceedings of the 2011 SIGGRAPH Asia Conference, SA'11 |

State | Published - 2011 |

Event | 2011 SIGGRAPH Asia Conference, SA'11 - Hong Kong, China Duration: Dec 12 2011 → Dec 15 2011 |

### Other

Other | 2011 SIGGRAPH Asia Conference, SA'11 |
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Country | China |

City | Hong Kong |

Period | 12/12/11 → 12/15/11 |

### Fingerprint

### Keywords

- Geometry processing
- Parametrization
- Range scans

### ASJC Scopus subject areas

- Computer Graphics and Computer-Aided Design
- Computer Vision and Pattern Recognition
- Software

### Cite this

*Proceedings of the 2011 SIGGRAPH Asia Conference, SA'11*[149]

**Global parametrization of range image sets.** / Pietroni, Nico; Tarini, Marco; Sorkine, Olga; Zorin, Denis.

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

*Proceedings of the 2011 SIGGRAPH Asia Conference, SA'11.*, 149, 2011 SIGGRAPH Asia Conference, SA'11, Hong Kong, China, 12/12/11.

}

TY - GEN

T1 - Global parametrization of range image sets

AU - Pietroni, Nico

AU - Tarini, Marco

AU - Sorkine, Olga

AU - Zorin, Denis

PY - 2011

Y1 - 2011

N2 - We present a method to globally parameterize a surface represented by height maps over a set of planes (range images). In contrast to other parametrization techniques, we do not start with a manifold mesh. The parametrization we compute defines a manifold structure, it is seamless and globally smooth, can be aligned to geometric features and shows good quality in terms of angle and area preservation, comparable to current parametrization techniques for meshes. Computing such global seamless parametrization makes it possible to perform quad remeshing, texture mapping and texture synthesis and many other types of geometry processing operations. Our approach is based on a formulation of the Poisson equation on a manifold structure defined for the surface by the range images. Construction of such global parametrization requires only a way to project surface data onto a set of planes, and can be applied directly to implicit surfaces, nonmanifold surfaces, very large meshes, and collections of range scans. We demonstrate application of our technique to all these geometry types.

AB - We present a method to globally parameterize a surface represented by height maps over a set of planes (range images). In contrast to other parametrization techniques, we do not start with a manifold mesh. The parametrization we compute defines a manifold structure, it is seamless and globally smooth, can be aligned to geometric features and shows good quality in terms of angle and area preservation, comparable to current parametrization techniques for meshes. Computing such global seamless parametrization makes it possible to perform quad remeshing, texture mapping and texture synthesis and many other types of geometry processing operations. Our approach is based on a formulation of the Poisson equation on a manifold structure defined for the surface by the range images. Construction of such global parametrization requires only a way to project surface data onto a set of planes, and can be applied directly to implicit surfaces, nonmanifold surfaces, very large meshes, and collections of range scans. We demonstrate application of our technique to all these geometry types.

KW - Geometry processing

KW - Parametrization

KW - Range scans

UR - http://www.scopus.com/inward/record.url?scp=84855472277&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855472277&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84855472277

SN - 9781450308076

BT - Proceedings of the 2011 SIGGRAPH Asia Conference, SA'11

ER -