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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 68
DEVELOPMENTS IN ENGINEERING COMPUTATIONAL TECHNOLOGY
Edited by: B.H.V. Topping
Paper V.4

Medial Geometry Refinement

D.J. Robinson, C.G. Armstrong, C.A. McGleenan and N. O'Gorman

Department of Civil Engineering, Queen's University, Belfast, Northern Ireland

Full Bibliographic Reference for this paper
D.J. Robinson, C.G. Armstrong, C.A. McGleenan, N. O'Gorman, "Medial Geometry Refinement", in B.H.V. Topping, (Editor), "Developments in Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, pp 77-83, 2000. doi:10.4203/ccp.68.5.4
Abstract
The medial vertices, edges and faces of an object define points that are equidistant from the object boundaries. These medial entities are particularly useful for applications requiring feature recognition. However it is difficult to compute their exact position, the general approach is to approximate their position using a triangulation based on a distribution of points on the boundary of the object. The paper describes how the information from the triangulation can be represented and how from this data systems of non-linear equations can be established which allow the positions of the medial entities to be fixed exactly. The approach has been illustrated through the use of several examples.

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