TY - JOUR
T1 - Circle approximation for CADCAM using orthogonal C² cubic b-splines
AU - Cripps, Robert
AU - Lockyer, Peter
PY - 2005/3/17
Y1 - 2005/3/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=17944362652&partnerID=8YFLogxK
U2 - 10.1016/j.ijmachtools.2004.11.010
DO - 10.1016/j.ijmachtools.2004.11.010
M3 - Article
VL - 45
SP - 1222
EP - 1229
JO - International Journal of Machine Tools and Manufacture
JF - International Journal of Machine Tools and Manufacture
ER -