Quasi-Chebyshev splines with connection matrices: Application to variable degree polynomial splines. (English) Zbl 0978.41006
Extending a result recently obtained for Chebyshev splines, we give a necessary and sufficient condition for the existence of blossoms (or, equivalently, of \(B\)-spline bases) for splines with connection matrices and with sections in different four-dimensional quasi-Chebyshev spaces. We apply this result to the study of variable degree polynomial splines.
MSC:
| 41A15 | Spline approximation |
Keywords:
Chebyshev blossoming; \(B\)-spline basis; connection matrices; osculating flats; quasi-Chebyshev splines; variable degree polynomial splinesReferences:
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