Translation of a matrix

Hi,

I'm trying to understand translation of an image (from one spatial point to another) and wrote some code in order to do so however the image isn't translating/moving.

I read that a translation matrix would typically be [1 0 tx; 0 1 ty; 0 0 1] where (tx, ty) would be the new spatial co-ordinates that the image would move to,and you would multiply the translation matrix by the C = imread(image), however how would that work if the size of the image was for example 684 X 1024 ?

I tried to do it this way instead.

Can someone please tell me where I'm going wrong ?

PS: I don't want to use imtranslate MATLAB function.

Many thanks

grid on
axis([-1 1 -1 1])

S = [1 -1 -1 1; 1 1 -1 -1; 1 1 1 1]
x=S(1,:); y=S(2,:);
patch(x,y,'r')

%translation matrix
T = [5;4];

%new spatial co-ordinates
new_x = size(S,1) + T(1,1);
new_y = size(S,2) + T(2,1);

% creation of zero padding matrix in order to perform matrix operations
Z = zeros(new_x,new_y);
M = Z(T(1,1):end-1, T(2,1):end-1) + S(:,:);

figure; patch(M(1,:),M(2,:),'r')

Answer 1

[Sai Bhargav Avula]

Hi,

Here is a simple translation code

T = [5,5];

% here S is a image hence 3rd dimension
tran_S = uint8( zeros(size(S,1)+T(2)-1, size(S,2)+T(1)-1, size(S,3));

% Translate 
tran_S(T(2):end, T(1):end, :)  = S;

imshow(tran_S)

Hope this helps!