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**Alexa, Marc ; Adamson, Anders** (2004)

*On Normals and Projection Operators for Surfaces Defined by Point Sets. *

Symposium on Point Based Graphics.

Conference or Workshop Item, Bibliographie

## Abstract

Levin's MLS projection operator allows defining a surface from a set of points and represents a versatile procedure to generate points on this surface. Practical problems of MLS surfaces are a complicated non-linear optimization to compute a tangent frame and the (commonly overlooked) fact that the normal to this tangent frame is not the surface normal. An alternative definition of Point Set Surfaces, inspired by the MLS projection, is the implicit surface version of Adamson & Alexa.We use this surface definition to show how to compute exact surface normals and present simple, efficient projection operators. The exact normal computation also allows computing orthogonal projections.

Item Type: | Conference or Workshop Item |
---|---|

Erschienen: | 2004 |

Creators: | Alexa, Marc ; Adamson, Anders |

Type of entry: | Bibliographie |

Title: | On Normals and Projection Operators for Surfaces Defined by Point Sets |

Language: | English |

Date: | 2004 |

Publisher: | Eurographics, Aire-la-Ville |

Event Title: | Symposium on Point Based Graphics |

Abstract: | Levin's MLS projection operator allows defining a surface from a set of points and represents a versatile procedure to generate points on this surface. Practical problems of MLS surfaces are a complicated non-linear optimization to compute a tangent frame and the (commonly overlooked) fact that the normal to this tangent frame is not the surface normal. An alternative definition of Point Set Surfaces, inspired by the MLS projection, is the implicit surface version of Adamson & Alexa.We use this surface definition to show how to compute exact surface normals and present simple, efficient projection operators. The exact normal computation also allows computing orthogonal projections. |

Uncontrolled Keywords: | Shape approximation, Solid representation, Surface representation, Curve representation |

Divisions: | 20 Department of Computer Science 20 Department of Computer Science > Interactive Graphics Systems |

Date Deposited: | 16 Apr 2018 09:04 |

Last Modified: | 16 Apr 2018 09:04 |

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