Question

MATLAB

1. lot Bezier curves: The concept of the Bezier curve is described in the wikipedia.
   1. Plot 5 randomly generated data points on the x-y plane and connect them with straight lines. Be sure to label the data points as p₁, p₂, p₃, p₄, and p₅.
   2. Draw a 4th-order Bezier curve on top of the above 5 data points.

Answer 1

MATLAB CODE :

clc

n=input('Enter no. of points ');

w=input('Press 1 for entry through mouse or 2 for keyboard -->');

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);

end

P=l*p;

line(P(:,1),P(:,2))

line(p(:,1),p(:,2))