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Multi-Scale Free-Form Surface Description and Curvature Estimation

Mokhtarian, F; Khalili, N; Yuen, P; (1999) Multi-Scale Free-Form Surface Description and Curvature Estimation. In: Computer vision, graphics and image processing : recent advances: Proceedings of the Indian Conference on Computer Vision, Graphics and Image Processing (ICVGIP '98) held at Indian Institute of Technology, Delhi, during December 21-23, 1998. (pp. 70 - 75). Viva Books: New Delhi, India. 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 at our center [4] 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. The technique was applied to simple and complex 3-D objects and the results are presented here.

Type: Proceedings paper
Title: Multi-Scale Free-Form Surface Description and Curvature Estimation
Open access status: An open access version is available from UCL Discovery
Publisher version: http://www.vivagroupindia.com/
Additional information: Full text reproduced here by permission of publisher, Viva Books Private Limited, 4737/23 Ansari Road, Daryaganj, New Delhi 110002
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/48574
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