@Article{NM-15-320,
author = {J. Qian and Y. Tang },
title = {On non-uniform algebraic-hyperbolic (NUAH) B-splines},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2006},
volume = {15},
number = {4},
pages = {320--335},
abstract = {
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.
},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/8040.html}
}