Journal
COMPUTING
Volume 79, Issue 2-4, Pages 153-162Publisher
SPRINGER WIEN
DOI: 10.1007/s00607-006-0194-y
Keywords
blossoming; B-splines; knot insertion; Lane-Riesenfeld algorithm
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The standard proof of the Lane-Riesenfeld algorithm for inserting knots into uniform B-spline curves is based on the continuous convolution formula for the uniform B-spline basis functions. Here we provide two new, elementary, blossoming proofs of the Lane-Riesenfeld algorithm for uniform B-spline curves of arbitrary degree.
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