Smoothing the plots with points

x1 = [0.05, 0.101, 0.201, 0.401, 0.797, 1.597, 3.196, 6.39, 10.01];

y1 = [0.053, 0.832, 2.744, 3.737, 3.775, 3.823, 3.9, 4.039, 4.207];

x2 = [0.049, 0.097, 0.2, 0.403, 0.739, 1.596, 3.201, 6.39, 10];

y2 = [0.113, 0.797, 6.096, 7.271, 7.426, 7.603, 7.894, 8.266, 8.666];

x3 = [0.05, 0.099, 0.201, 0.402, 0.804, 1.6, 3.219, 6.38, 10];

y3 = [0.25, 1.595, 7.889, 11.403, 12.502, 12.7, 13.54, 14.672, 15.6];

How to smooth those? Also, I want to limit the x axis from 0 to 10.

[KSSV]

Have a look on interp1

Answer 1

[KSSV]

Try fitting a Bezier Curve: I have referred this link: https://in.mathworks.com/matlabcentral/fileexchange/33828-generalised-bezier-curve-matlab-code . Please note that code can be optimized.

  x1 = [0.05, 0.101, 0.201, 0.401, 0.797, 1.597, 3.196, 6.39, 10.01];
  y1 = [0.053, 0.832, 2.744, 3.737, 3.775, 3.823, 3.9, 4.039, 4.207];
  % From here take from the link 
  p = [x1' y1'] ; 
  n = size(p,1) ; 
  n1 = n-1 ; 

  sigma =  zeros(1,n1+1) ;   
  for    i=0:1:n1
    sigma(i+1)=factorial(n1)/(factorial(i)*factorial(n1-i));  % for calculating (x!/(y!(x-y)!)) values 
  end
  l=[];
  UB=[];
  for u=0:0.002:1
    for d=1:n
      UB(d)=sigma(d)*((1-u)^(n-d))*(u^(d-1));
    end
    l=cat(1,l,UB);                                      %catenation 
  end
  P=l*p;
  figure
  hold on
  plot(p(:,1),p(:,2),'b')
  plot(P(:,1),P(:,2),'r')
  legend("Original","BeizerCurve")

[Doyeon Kim]

Thanks a lot!

[KSSV]

Thanks is accepting/voting the answer.