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Multi-scale 3-D Surface Description: Open and Closed Surfaces

Yuen, P; Mokhtarian, F; Khalili, N; (1999) Multi-scale 3-D Surface Description: Open and Closed Surfaces. In: Ersboll, BK, (ed.) (pp. pp. 303-310). Pattern Recognition Society of Denmark: Lyngby, Denmark. Green open access

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Abstract

A novel technique for multi-scale smoothing of a free-form 3-D surface is presented. Complete triangulated models of 3-D objects are constructed automatically and using a local parametrization technique, are then smoothed using a 2-D Gaussian filter. Our method for local parametrization makes use of semigeodesic coordinates as a natural and efficient way of sampling the local surface shape. The smoothing eliminates the surface noise together with high curvature regions such as sharp edges, therefore, sharp corners become rounded as the object is smoothed iteratively. Our technique for free-form 3-D multi-scale surface smoothing is independent of the underlying triangulation. It is also argued that the proposed technique is preferrable to volumetric smoothing or level set methods since it is applicable to incomplete surface data which occurs during occlusion. Our technique was applied to closed as well as open 3-D surfaces and the results are presented here.

Type: Proceedings paper
Title: Multi-scale 3-D Surface Description: Open and Closed Surfaces
ISBN-13: 9788788306422
Open access status: An open access version is available from UCL Discovery
Publisher version: http://www.iapr.org/oldsite/publications/
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics
URI: https://discovery.ucl.ac.uk/id/eprint/40113
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