MATLAB: By using linear interpolation How can we find unkown 500 data values by using known data points(x,y,z)

Question

[x1,y1,z1] = [2 3 4]; % starting value

[xn,yn,zn] = [7 2 5]; % ending value

by using linear interpolation i want to generate 500 unkown values inbetween known starting and ending value…

i know the linspace function,,but i want to generate points by using only linear interpolation concept

i need your help

thank you?

Answer 1

If you consider are at [x1,y1,z1] at t=0 and [xn,yn,zn] at t=1, then you can write following line using linear interpolation

X1 = [2 3 4]; % starting value
Xn = [7 2 5]; % ending value
t1 = 0; % start time
tn = 1; % end time
t = linspace(0, 1, 500); % samples between start and end time
X = interp1([t1 tn], [X1; Xn], t);