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Point Set Surfaces

Alexa, Marc and Behr, Johannes and Cohen-Or, Daniel and Fleishman, Shachar and Levin, David and Silva, Claudio T. (2001):
Point Set Surfaces.
IEEE Computer Society Press, Los Alamitos, Calif., In: IEEE Visualization 2001. Proceedings, pp. 21-28, [Conference or Workshop Item]

Abstract

We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). We present tools to increase or decrease the density of the points, thus, allowing an adjustment of the spacing among the points to control the fidelity of the representation. To display the point set surface, we introduce a novel point rendering technique. The idea is to evaluate the local maps according to the image resolution. This results in high quality shading effects and smooth silhouettes at interactive frame rates.

Item Type: Conference or Workshop Item
Erschienen: 2001
Creators: Alexa, Marc and Behr, Johannes and Cohen-Or, Daniel and Fleishman, Shachar and Levin, David and Silva, Claudio T.
Title: Point Set Surfaces
Language: German
Abstract:

We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). We present tools to increase or decrease the density of the points, thus, allowing an adjustment of the spacing among the points to control the fidelity of the representation. To display the point set surface, we introduce a novel point rendering technique. The idea is to evaluate the local maps according to the image resolution. This results in high quality shading effects and smooth silhouettes at interactive frame rates.

Publisher: IEEE Computer Society Press, Los Alamitos, Calif.
Uncontrolled Keywords: Surface representation, Surface reconstruction, Moving least squares, 3D Model acquisition
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Interactive Graphics Systems
Event Title: IEEE Visualization 2001. Proceedings
Date Deposited: 16 Apr 2018 09:05
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