Implement the following formula

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How can I implement the following formula? Please write the code for it. Thanks.
y[n,m]= 1/3( x[n,m1] + x[n,m] + x[n,m+1] )

Accepted Answer

Image Analyst
Image Analyst on 17 Apr 2021
kernel = [1,1,1]/3;
y = conv(x, kernel, 'same'); % Convolution does that. All rows, one row at a time.
or
y(n, :) = movmean(x(n, :), 3); % For the nth row only.
  2 Comments
Sarah Maas
Sarah Maas on 17 Apr 2021
I think the second one would work. However I'm using this for a grayscale image which I've converted to a matrix of values between 0 and 1.
And n and m are the independent variables (integer indices) indexing the pixels (matrix elements) along the vertical and horizontal dimensions of the image, respectively. Which i have obtained using the following (suppose A is the matrix):
n = size(A, 1);
m = size(A, 2);
How can I use this to define y and x for the equation above?
I suppose y can be:
y = zeros(n, m, 'logical');
But what about x? And is this approach correct?
Image Analyst
Image Analyst on 17 Apr 2021
Do you want to blur all the rows with a 1-by-3 array? If so you can use conv2 or imfilter
kernel = [1,1,1]/3;
y = conv(grayImage, kernel, 'same'); % Convolution does that. All rows, one row at a time.
y = imfilter(grayImage, kernel)
Or do you want to blur just the nth row and leave the other rows unchanged?

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More Answers (1)

Alan Stevens
Alan Stevens on 17 Apr 2021
Change the square brackets, [ ], to curved brackets, ( ). Put a multiply sign, *, after the 3.
  2 Comments
Sarah Maas
Sarah Maas on 17 Apr 2021
No, I need it in a sort of a for loop for each M
Image Analyst
Image Analyst on 17 Apr 2021
OK, if you don't know how to do a for loop, then you have not even taken the most basic training on MATLAB. So follow this link and learn how to do simple things like for loops, if statements, assignments, referencing elements in an array, etc.:

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