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Abstract: A toolpath generation method is presented for NC machining
based on vector analysis and NURBS. Given optimal cutting directions at
sampled points in the parameter domain of the NURBS surface, a vector
field model fitting to these scattered vectors is established according
to the conversion between scalar field and gradient field. Thus, tool
paths in the parameter domain can be represented as vector curves of a
2D vector field. Moreover, using NURBS as the stream function of
generating gradient field, a global shape optimization of tool-paths can
be easily completed by adjusting the control point array of the stream
function. The example shows that the precise design method of tool paths
is very useful in high- efficiency machining of complex shapes.
Key words: Tool paths Vector field NURBS
CLC No: TP391
国家自然科学基金(50405044)和辽宁省自然科学基金(20010102087)资助项目.
Received 20040309, received in revised form 20041030
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