TY - JOUR
T1 - On non-uniform algebraic-hyperbolic (NUAH) B-splines
AU - J. Qian & Y. Tang 
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 4
SP - 320
EP - 335
PY - 2006
DA - 2006/11
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8040.html
KW - 
AB - 
The recurrence algorithm is given for the calculation of NUAH
B-splines in the space $S_{n+1}=$ span$\{\sinh t,$ $\cosh t,$
$t^{n-3}, \cdots,$ $t^2, t, 1\}$ $(n\ge 3)$. The case of NUAH
B-spline bases of low order with multiple knot sequences is studied.
The limiting cases of UAH B-splines are recovered when shape
parameters $\alpha's \rightarrow 0^+ {\rm and} +\infty$. Then the
corresponding NUAH B-spline curve is defined and its main properties
such as shape-preserving properties are investigated.