Numerical Analysis Matlab Write a matlab code Implement the

Numerical Analysis

Matlab

Write a matlab code

. Implement the Bezier curve by plotting 100 values of t into , given the original point set P0 = (1,0) p1 = (2,5), p2 = (3,1) , p3 = (4,9)

Solution

n=input(\'Enter no. of points \');
w=input(\'Press 1 for entry through mouse or 2 for keyboard repectively-->\');
n1=n-1;
if w==1
axis([0 100 0 100])
[p]=ginput(n);
end
if w==2
[p]=input(\'Enter co-odinates of points within brackets ->[x1 y1;x2 y2;x3 y3;...;xn yn] \');
end
  
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;
line(P(:,1),P(:,2))
line(p(:,1),p(:,2))