Moving, shrinking, expanding triangle by a fixed amount

How can I write a program in Matlab to move a centre ( C ) of triangle to right or left and to shrink/expand its width (L-R) by a fixed amount?

[Image Analyst]

If you know the initial coordinates, simple addition and multiplication will work. It's trivial. Not sure what part you're unsure of - the math or the programming. And not sure why you tagged this as fuzzy membership.

https://matlabacademy.mathworks.com/

[VIVEK PURANIK]

@Image Analyst: Actually I want to optimize triangular fuzzy MFs using PSO with the logic mentioned in my question. That's why I tagged this as fuzzy membership.

Answer 1

[KSSV]

Read about Affine Transofrmations.

A =rand(3,2) ;  % A random triangle 

patch(A(:,1),A(:,2),'r')
% Move center 
for i = 1:10
  C = rand(1,2) ; 
  patch(A(:,1)+C(1),A(:,2)+C(2),'r')
  drawnow
endfor
title('Center moved')

% Shrinking 
Cx = 1/2 ; Cy = 1/2 ; 
C = [Cx 0 ; 0 Cy ] ; 
B = (A-mean(A))*C+mean(A) ; 
figure
patch(A(:,1),A(:,2),'r')
hold on
patch(B(:,1),B(:,2),'b')
title('Shrinking')

% Expanding 
Cx = 2 ; Cy = 2 ; 
C = [Cx 0 ; 0 Cy ] ; 
B = (A-mean(A))*C+mean(A) ; 
figure
patch(B(:,1),B(:,2),'b')
hold on
patch(A(:,1),A(:,2),'r')
title('expaning')