Overview_JPEG_JPEG20 - (DCT Equation for DCT 2 M-1 N-1(2x 1)u(2y 1)v H u,v = C(u C(v h(x,y cos cos MN x=0 y=0 2M 2N Where C)= 1 2 1 for =0 for >0 M

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Discrete Cosine Transform (DCT) Equation for DCT : 2 M-1 N-1 (2x+1)u ╥ (2y+1)v ╥ H( u,v) = ——— C(u) C(v) h(x,y) cos ———— cos ———— √( MN) x=0 y=0 2M 2N Where 1/ √2 for γ =0 C( γ )= 1 for γ >0 M x N = Size of the block Thursday, April 22, 2010 1 B.I.T.S., PILANI
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Overview of JPEG, and JPEG  2000 EA C473 (Multimedia Computing) Thursday, April 22, 2010 B.I.T.S., PILANI 2
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Reverse Discrete Cosine Transform   Equation for this : 2 M-1 N-1 (2x+1)u ╥ (2y+1)v ╥ h(x,y) = ——— C(u) C(v) H(u,v) cos ———— cos ———— √( MN) u=0 v=0 2M 2N Where 1/ √2 for γ =0 C( γ )= 1 for γ >0 M x N = Size of the block Thursday, April 22, 2010 3 B.I.T.S., PILANI
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Data Compression  JPEG DCT based mode  (Sequential coding  also called Base-line  mode) Expanded Lossy DCT- based Mode  (Progressive  encoding) Lossless Mode Hierarchical Mode JPEG for Video  Moving JPEG MPEG Coding Types of frames I, P, B and D frames Motion estimation I Frames coded as  JPEG (Sequential  Mode) Thursday, April 22, 2010 4 B.I.T.S., PILANI
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JPEG Compression Standard  … 4 Thursday, April 22, 2010 5 B.I.T.S., PILANI
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JPEG Compression Standard  … 5 Main Steps in JPEG Image Compression   Transform RGB to YIQ or YUV and  subsample color.   DCT on image blocks.   Quantization.   Zig-zag ordering and run-length encoding.   Entropy coding. Thursday, April 22, 2010 6 B.I.T.S., PILANI
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JPEG Compression Standard  … 12 Thursday, April 22, 2010 7 B.I.T.S., PILANI
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… 13 DPCM on DC coffiecients   The DC cofficients are coded separately from  the AC ones. Differential Pulse Code Modulation (DPCM)  is  the coding method.   If the DC cofficients for the 5 image blocks are  150, 155, 149, 152, 144, then the DPCM would produce  150, 5,   -6, 3, -8, assuming  di  DCi +1  − DCi and  d 0= DC 0. Thursday, April 22, 2010
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This note was uploaded on 04/22/2010 for the course CSIS MMC taught by Professor M.k.rohil during the Summer '10 term at Birla Institute of Technology & Science.

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Overview_JPEG_JPEG20 - (DCT Equation for DCT 2 M-1 N-1(2x 1)u(2y 1)v H u,v = C(u C(v h(x,y cos cos MN x=0 y=0 2M 2N Where C)= 1 2 1 for =0 for >0 M

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