| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 43 Number 3
Volume 43 Number 2
Volume 43 Number 1
Volume 43S Number 1
Volume 42 Number 6
Volume 42S Number 1
Earlier issues
Volume 43 Number 2 Volume 43 Number 3

previous article next article 1

Research articles

ScienceAsia 43(2017): 186-194 |doi: 10.2306/scienceasia1513-1874.2017.43.186

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.

Download PDF

8 Download 46 View

a 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