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

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

doi:10.4203/ccp.68.5.4

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.68.5.4 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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