Comparison of Knots and Control Points Non-uniform rational B-spline

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a common misconception each knot paired control point. true degree 1 nurbs (polylines). in general, knots break domain knot spans, each control point corresponds 1 basis function spans range of (degree+1) knot spans. example, suppose have degree-3 nurbs 7 control points , knots 0,0,0,1,2,5,8,8,8. first 4 control points grouped first 6 knots. second through fifth control points grouped knots 0,0,1,2,5,8. third through sixth control points grouped knots 0,1,2,5,8,8. last 4 control points grouped last 6 knots.


some modelers use older algorithms nurbs evaluation require 2 knot values total of (degree+n+1) knots.








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