Robust computation of tangent lines and circles |
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| Affiliation: | 1. Wicking Dementia Research and Education Centre, University of Tasmania, Hobart, Tasmania, Australia;2. Chromatin Dynamics Group, Genomics and Epigenetics Division, Garvan Institute of Medical Research, Darlinghurst, New South Wales, Australia;3. St Vincent''s Clinical School, Faculty of Medicine, University of New South Wales Australia, Sydney, New South Wales, Australia |
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| Abstract: | This paper presents a unified representation scheme for the implicit equations of points, lines and circles, together with algorithms for incident and tangent constructions. These algorithms operate successfully on degenerate and nearly degenerate geometry and when necessary produce degenerate geometric results. Care is taken to ensure the accuracy of results. |
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