Question

Find the entropy of the image

\begin{bmatrix} 0 & 1& 0 &0 \\ 0 & 1& 2& 2\\ 0 & 1& 2 &3 \\ 1& 2& 2& 3 \end{bmatrix}

01 Dec 2023
Answer :
Word Count : 346

Entropy is a measure of the amount of information or uncertainty in a system. In the context of image processing, entropy can be used to quantify the randomness or disorder in the pixel values of an image. The formula for entropy, \(H(X)\), for a discrete random variable \(X\) with probability mass function \(p(x)\) is given by:

\[ H(X) = - \sum_{i} p(x_i) \log_2(p(x_i)) \]

where the sum is taken over all possible values of \(X\).

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