MATLAB Answers

can we convert the histogram back to the original image????

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user06 25 Jun 2015
댓글: Walter Roberson 26 Jun 2015
suppose i have calculated a histogram of a gray image. now i want my original image back through the histogram. can this be possible?

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Steven Lord
Steven Lord 25 Jun 2015
Not in general, no.
A = randi([0 1], 10);
B = A(randperm(10), :);
C = rot90(A, 1);
A, B, and C each have exactly the same number of 0's and 1's, but each has their 1's in different locations. I've only generated three such images; there are many more.
% Show image A
subplot(2, 2, 1);
axis square
% Show image B
subplot(2, 2, 2);
axis square
% Show image C
subplot(2, 2, 3);
axis square
% Show graphs in black and white
The histogram of each of those images would be the same.
subplot(2, 2, 4)
Which image is the "original" image for this histogram?

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user06 26 Jun 2015
original image is lena image and i have calculated the histogram of the lena image. now i want to convert this histogram back to lena image.
Walter Roberson
Walter Roberson 26 Jun 2015
I took a vector of binary values each 0 or 1. I did a histogram of it and the result was that there was 15 0's and 9 1's. Can you convert that histogram back to the original vector?
Answer: No. There are 1307504 different binary vectors of length 24 that have exactly that distribution of 0's and 1's. You can't know which the original was.
I am going to go out on a limb here and speculate that what you really are trying to do is Histogram Equalization.

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