Research articles
ScienceAsia (): 186-194 |doi:
10.2306/scienceasia1513-1874...186
C1 rational interpolation schemes for modelling positive and/or monotonic 3D data
Xiangbin Qina, Lei Qinb, Qingsong Xua,*
ABSTRACT: By using the boolean sum of cubic interpolating operators to blend together kinds of rational quartic/linear interpolation splines as the boundary functions, a class of C1 bi-cubic partially blended rational quartic/linear interpolation splines with four families of local control parameters is constructed. By developing new constraints on the boundary functions, simple sufficient data-dependent conditions are derived for the local control parameters to generate C1 positivity- and/or monotonicity-preserving interpolation surfaces for positive and/or monotonic data on rectangular grids.
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School of Mathematics and Statistics, Central South University, Changsha 410083, China |
| b |
College of Environmental Science and Engineering, Hunan University, Changsha 410082, China |
* Corresponding author, E-mail: qsxu@csu.edu.cn
Received 13 Oct 2015, Accepted 26 Jul 2017
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