Shape-preserving rational spline Hermite interpolation
Version 1.0.0 (2.02 KB) by
Sunham Kim
MATLAB codes for Cai and Judd (2012)'s Shape-preserving rational spline Hermite interpolation
rationalspline.m
A quick MATLAB snippet to implement shape-preserving rational spline Hermite interpolation.(Cai and Judd, Economic Letters 2012)
Requires MATLAB 2015a or later. (dependency: discretize
)
Example
x = linspace(0.1,3,30).'; z = linspace(0.1,3,300).';
v = log(x);
s = 1./x;
[f,df,d2f] = rationalspline(x,z,v,s);
truf = log(z);
trudf = 1./z;
figure;
tt = tiledlayout(1,2);
nexttile
hold on;
plot(z,f);
plot(z,truf);
legend('Approximated Level','True Level','Location','best');
hold off;
nexttile
hold on;
plot(z,df);
plot(z,trudf);
legend('Approximated Slope','True Slope','Location','best');
hold off;
![Screenshot 2023-08-19 at 7 24 01 AM](https://private-user-images.githubusercontent.com/50336173/261795089-cef69bec-295f-41b6-a939-4d827ccf426f.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.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.i8QgSNKHknDBmudzkHsu4k7nTg5XPIpq31IgRoRAxA8)
Cite As
Sunham Kim (2024). Shape-preserving rational spline Hermite interpolation (https://github.com/sunhamkim/rationalspline/releases/tag/v1.0.0), GitHub. Retrieved .
MATLAB Release Compatibility
Created with
R2023a
Compatible with R2015a and later releases
Platform Compatibility
Windows macOS LinuxTags
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Version | Published | Release Notes | |
---|---|---|---|
1.0.0 |
To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.