JPEGΒΆ

Construct the nxn subimages. forward transform. Quantizer. Histogram. Four Different Gray values. Huffman coding. Prefix free. Entropy (H) Sum over all the symbols P(s) log_2 P(s) JPEG is color blind. RGB -> YCbCr Discrete Cosine Transform Mean Square Error. = Mean Square Error. MSG = 1/ (number of pixels) * Sum(F^_ - F)^2 nxn pixels Kahunen-Loeve Transform. https://en.wikipedia.org/wiki/Karhunen%E2%80%93Lo%C3%A8ve_theorem Discrete Cosine Transform Fourier Transform Transform is useful when you can invert it. DCT alpha(u) = sqrt(1/n) u = 0 | sqrt(2/n) u != 0 T(u, v) T(3, 3) Discrete Cosine Transform n = 4 Cheaper to multiple small DCTs than large DCTs. Quantization. Max-Lloyd Optimal Quantizer

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