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Technologicat avatar Technologicat commented on August 16, 2024

Hi,
The bspline package defines each piecewise polynomial to have support on the half-open interval [x_k, x_{k+1}). Hence, evaluating the last basis function at the final endpoint yields 0, making the whole B-spline zero there.

As a workaround, in my own codes I've scaled the whole interval (which is to be spanned by the B-spline) by a factor of 1 + ε, where ε is some suitably small positive number. Then evaluating the last basis function at the original endpoint yields a value that is sufficiently close to 1 for practical purposes - and hence evaluating the whole B-spline there then gives sensible results.

I think it is theoretically possible to fix the issue, but doing so complicates the (currently very short and elegant) implementation of the Cox - de Boor algorithm. However, if you and John feel this is important to fix, it could be done.

from bspline.

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