Circle approximation for CADCAM using orthogonal C² cubic b-splines

Robert Cripps, Peter Lockyer

Research output: Contribution to journalArticle

5 Citations (Scopus)


A method to approximate a circular arc of any subtended angle with orthogonal C-2 cubic B-splines is presented. The approach is to specify end points and end tangent directions and to give extra points lying on the span to ensure the required level of accuracy. The critical elements are to use a parameterisation that is optimum for circular data and to determine the tangent magnitudes at the end points. The data can be sampled in any way, although evenly spaced data requires less points to achieve a given accuracy. The method is general and does not depend on any iterative schemes to determine the parameterisation, knot values or tangent magnitudes. (c) 2004 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1222-1229
Number of pages8
JournalInternational Journal of Machine Tools and Manufacture
Publication statusPublished - 17 Mar 2005


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