Jpeg Decoder. Baseline Sequential DCT-based

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1 Jpeg Decoder Baseline Sequential DCT-based

2 Baseline Sequential DCT-based

3 Baseline Sequential DCT-based Encoding Process Color Space Conversion Subsampling Partition Encoding Flow Control Discrete Cosine Transform (DCT) Quantization Entropy Encoding (Huffman) Decoding

4 RGB YCbCr

5

6 Baseline Sequential DCT-based Encoding Process Color Space Conversion Subsampling Partition Encoding Flow Control Discrete Cosine Transform (DCT) Quantization Entropy Encoding (Huffman) Decoding

7

8 Baseline Sequential DCT-based Encoding Process Color Space Conversion Subsampling Partition Encoding Flow Control Discrete Cosine Transform (DCT) Quantization Entropy Encoding (Huffman) Decoding

9

10 Baseline Sequential DCT-based Encoding Process Color Space Conversion Subsampling Partition Encoding Flow Control Discrete Cosine Transform (DCT) Quantization Entropy Encoding (Huffman) Decoding

11

12

13

14 Huffman Encoding DC Diff AC Run-Length pair

15

16 DC Diff (ITU-T81 Annex F) SSSS DIFF values ,1 2 3, 2,2, , , , , , , , , , Decoding codeword with Huffman decoding for getting SSSS 2. Using following SSSS bits as index for looking up DIFF value 3. Plus the DC value of last block

17 Huffman decoding

18

19 RRRRSSSS

20 Huffman decoding

21 Header Processing Important header

22 Compressed image data SOI Frame EOI Frame [ Tables/ misc. [ Frame header Scan 1 [ DNL segment [ [ Scan 2 [ [Scan last [ Scan [ Tables/ misc. [ Scan header [ECS 0 RST 0 ECS last-1 RST last-1 ] ECS last Entropy-coded segment 0 Entropy-coded segment last <MCU >, <MCU >, <MCU > 1 2 Ri <MCU >, <MCU >, <MCU > n n + 1 last TISO /d020

23 Code Assignment Symbol Description Start Of Frame markers, non-differential, Huffman coding X FFC0 SOF0 Baseline DCT Huffman table specification X FFC4 DHT Define Huffman table(s) Restart interval termination X FFD0 through X FFD7 RSTm* Restart with modulo 8 count m Other markers X FFD8 X FFD9 X FFDA X FFDB X FFDD X FFE0 through X FFEF SOI* EOI* SOS DQT DRI APPn Start of image End of image Start of scan Define quantization table(s) Define restart interval Reserved for application segments

24

25 Header Structure (ITU-T81 Annex B) Marker Number of components Information

26 SOF SOF n Frame header Lf P Y X Nf Component-specification parameters Frame component-specification parameters C 1 H 1 V 1 Tq 1 C 2 H 2 V 2 Tq 2 C Nf H Nf V Nf Tq Nf TISO /d021 Y: Number of lines X: Number of samples per line Ci: Component identifier Hi: Horizontal sampling factor Vi: Vertical sampling factor

27 Parameter Size (bits) Sequential DCT Progressive DCT Lossless Baseline Extended Lf * Nf P 8 8 8, 12 8, Y X Nf Ci Hi Vi Tqi

28 MCU Minimum Coded Unit, which is comprised by blocks from each component In 4:2:0 mode, there are 6 blocks (2*2+1*1+1*1) in an MCU.

29

30 SOS Scan header SOS Ls Ns Component-specification parameters Ss Se Ah Al Scan component-specification parameters Cs 1 Td 1 Ta 1 Cs Td Ta Cs Ns Td Ns Ta Ns TISO /d022 Ns: Number of image components in scan Tdj: DC entropy coding table destination selector Taj: AC entropy coding table destination selector

31 Values Parameter Size (bits) Sequential DCT Progressive DCT Lossless Baseline Extended Ls * Ns Ns Csj Tdj Taj Ss Se Ss-63 0 Ah Al

32 DQT Define quantization table segment DQT Lq Pq Tq Q Q Q Multiple (t = 1,..., n) TISO /d024 Tq: Quantization table destination identifier - o for DC 1 for AC Qk: Quantization table element

33 Values Parameter Size (bits) Sequential DCT Progressive DCT Lossless Baseline Extended Lq 16 Undefined Pq 4 0 0, 1 0, 1 Undefined Tq Undefined Qk 8, , Undefined

34 DHT Define Huffman table segment DHT Lh Tc Th L 1 L 2 L 16 Symbol-length assignment Symbol-length assignment parameters Multiple (t = 1,..., n) V 1,1 V 1,2 V 1,L1 V 2,1 V 2,2 V 2,L2 V 16,1 V 16,2 V 16,L16 Tc: Table class, DC or AC? Th: Huffman table destination identifier (codeword) TISO /d025 (length) Li: Number of Huffman codes of length i Vi,j: Value associated with each Huffman code (symbol)

35 (ITU-T81 Annex C)

36 In common case, there are four huffman tables: Luminance s DC huffman table Luminance s AC huffman table Chrominance s DC huffman table Chrominance s AC huffman table

37 Values Parameter Size (bits) Sequential DCT Progressive DCT Lossless Baseline Extended Lh 16 Tc 4 0, 1 0 Th 4 0, Li Vi, j

38 DRI Ri Specifies the number of MCU in the restart interval. After the number of MCU reaches Ri, a RST marker is inserted and the MCU counter is reset. You can resynchronize to the next RST marker when bit error or packet loss occurred during image transmission and the number of lost MCU can be known from the difference of RST id.

39 Other Marker APP, COM, DNL, DHP, EXP Skip it by using the length field after the marker

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