Spline to optimize the curve

if i have the points bellow, and i would like to optimize the line connected each two points? i.e. to make it smothely.

who i can do it using "Spline" or any other code??the important thing is at the end the line must optomize and Passing all these point

6x2 double

[ 2.0000 2.0000

2.2703 1.6902

4.7244 7.6318

12.0984 9.1030

12.0000 10.0000 ]

[John D'Errico]

Don't answer your question with a response to another answer, and then accept your own non-answer.

Answer 1

[KSSV]

c = [ 2.0000    2.0000
2.2703    1.6902
4.7244    7.6318
12.0984    9.1030
12.0000   10.0000 ] ;

x = c(:,1) ; 
y = c(:,2) ; 

xi = min(x):0.1:max(x) ;
yi = spline(x,y,xi) ; 
plot(x,y,'*r')
hold on
plot(xi,yi)

Answer 2

[John D'Errico]

It seems you want to interpolate these points, doing so smoothly, yet not going outside the data.

xy = [ 2.0000    2.0000
2.2703    1.6902
4.7244    7.6318
12.0984    9.1030
12.0000   10.0000 ] ;
x = xy(:,1) ; 
y = xy(:,2) ;

You can download my interparc from the file exchange.

xyi = interparc(100,x,y,'pchip');
plot(x,y,'bo',xyi(:,1),xyi(:,2),'r-')

Find interparc on the file exchange:

https://www.mathworks.com/matlabcentral/fileexchange/34874-interparc

Or, possibly, your goal is a smoothed approximation.

slm = slmengine(x,y,'plot','on','knots',3,'increasing','on');

Find slmengine in my SLM toolbox. Also on the FEX.

https://www.mathworks.com/matlabcentral/fileexchange/24443-slm-shape-language-modeling

[mohammed alany]

thanks dear