A one-pass algorithm for shape-preserving quadratic spline interpolation

1992 ◽  
Vol 7 (4) ◽  
pp. 359-376 ◽  
Author(s):  
Rafhat Iqbal
Keyword(s):  
Spline Interpolation ◽  
Shape Preserving ◽  
Quadratic Spline

scholarly journals On Shape Preserving Quadratic Spline Interpolation

1983 ◽  
Vol 20 (4) ◽  
pp. 854-864 ◽  
Author(s):  
Larry I. Schumaker
Keyword(s):  
Spline Interpolation ◽  
Shape Preserving ◽  
Quadratic Spline

Quadratic spline interpolation on uniform meshes

1990 ◽  
Vol 30 (3) ◽  
pp. 484-489 ◽  
Author(s):  
M. N. El Tarazi
Keyword(s):  
Spline Interpolation ◽  
Quadratic Spline

scholarly journals Shape preserving spline interpolation

1986 ◽  
Vol 18 (1) ◽  
pp. 53-57 ◽  
Author(s):  
John A Gregory
Keyword(s):  
Spline Interpolation ◽  
Shape Preserving

Application of shape-preserving spline interpolation to interactive editing of photogrammetric data

1978 ◽  
Author(s):  
L. E. Deimel ◽  
C. L. Doss ◽  
R. J. Fornaro ◽  
D. F. McAllister ◽  
J. A. Roulier
Keyword(s):  
Spline Interpolation ◽  
Shape Preserving ◽  
Interactive Editing

C2 Rational Quadratic Spline Interpolation to Monotonic Data

1983 ◽  
Vol 3 (2) ◽  
pp. 141-152 ◽  
Author(s):  
R. DELBOURGO ◽  
J. A. GREGORY
Keyword(s):  
Spline Interpolation ◽  
Quadratic Spline

scholarly journals Shape Preserving Interpolation UsingC2Rational Cubic Spline

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Samsul Ariffin Abdul Karim ◽  
Kong Voon Pang
Keyword(s):  
Spline Interpolation ◽  
Linear Equations ◽  
Sufficient Conditions ◽  
Cubic Spline ◽  
Shape Preserving ◽  
Cubic Spline Interpolation ◽  
Positive Data ◽  
Shape Preserving Interpolation ◽  
Systems Of Linear Equations ◽  
Two Parameters

This paper discusses the construction of newC2rational cubic spline interpolant with cubic numerator and quadratic denominator. The idea has been extended to shape preserving interpolation for positive data using the constructed rational cubic spline interpolation. The rational cubic spline has three parametersαi,βi, andγi. The sufficient conditions for the positivity are derived on one parameterγiwhile the other two parametersαiandβiare free parameters that can be used to change the final shape of the resulting interpolating curves. This will enable the user to produce many varieties of the positive interpolating curves. Cubic spline interpolation withC2continuity is not able to preserve the shape of the positive data. Notably our scheme is easy to use and does not require knots insertion andC2continuity can be achieved by solving tridiagonal systems of linear equations for the unknown first derivativesdi,i=1,…,n-1. Comparisons with existing schemes also have been done in detail. From all presented numerical results the newC2rational cubic spline gives very smooth interpolating curves compared to some established rational cubic schemes. An error analysis when the function to be interpolated isft∈C3t0,tnis also investigated in detail.

A note on quadratic spline interpolation at mid-points

1982 ◽  
Vol 22 (2) ◽  
pp. 261-267 ◽  
Author(s):  
Riaz A. Usmani ◽  
Manabu Sakai
Keyword(s):  
Spline Interpolation ◽  
Quadratic Spline
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