Yuanjie Guo
ABSTRACT
This paper presents a method to construct an arc-length restricted knot vector for subdivision of a non-uniform rational B-spline (NURBS) curve. Based on Boehm's knot insertion algorithm of restriction free, the new method calculates the inserted knot value by considering the arc length of the subdivided sub-curves as a restriction. The paper shows in detail the mathematical reasoning and computing procedure for the method as well as the numerical experiments that demonstrate the new method is particularly helpful to meet the needs of arc length restricted subdivision of NURBS, such as the CNC interpolation, computer vision and so on.
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Index Terms
- Arc Length Restricted Knot Vector Construction for NURBS Subdivision
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