How to formulate the following matrices?

How to formulate the following matrices? (which is called the transformation matrices)

Theta is the degree angle which stored in file 'Angles' ,,, x,y is the origins which stored in file origin

      T = [cos(theta(i))  -sin(theta(i))    x(i)
           sin(theta(i))   cos(theta(i))    y(i)
                0              0            1]      

[Image Analyst]

You formulated a matrix T. What's the problem? Explain in more detail after reading this:

TUTORIAL: How to ask a question (on Answers) and get a fast answer

For example you might include a diagram to show what needs to be rotated.

FYI

Spatial transformations Defining and applying custom transforms Steve on Image Processing

[Catalytic]

I need help in iterating my thetas and origins into this matrix and storing the results.

You shouldn't. It's a trivial Matlab for-loop exercise.

Answer 1

[Matt J]

T=makehgtform('translate',[x(i),y(i),0],'zrotate',theta(i));
T=T([1,2,4],[1,2,4])

Answer 2

[Catalytic]

Why not just -

T=zeros(3,3,n); 

for i=1:n
      T(:,:,i) = [cos(theta(i))  -sin(theta(i))    x(i)
                  sin(theta(i))   cos(theta(i))    y(i)
                        0              0            1];
 end

[M]

@Catalytic, It could be also, but the above answer give you the transormation matrix directly without need to formulate it.