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Is there any difference in compression of 10bit and 8bit images?

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Huseyin on 1 Sep 2016
Reopened: Huseyin on 1 Sep 2016
I want to know if there is a difference between the compressions of 10bit and 8bit images when JPEG lossy/lossless compression algorithm is used. The general lossy algorithm for 8-bit image compression is:
image==>dct (8x8)==> Quantization==> RLE for AC comp. and DPCM for DC comp==> Huffman Encoding.
To reconstruct the compressed image, the inverve of these steps should be followed then. Is there any difference in the algorithm (JPEG lossy) when compressing 10-bit image? If so, why? I searched for many web sites but couldn't get the exact answer.
Thank you in advance.

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