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Lossless JPEG transcoding



Daniel Sanchez





ECE533 Fall 2006

Final Project Presentation

University of Wisconsin-Madison

Overview





 The problem of JPEG transcoding

 Full-featured MATLAB JPEG codec

 Lossless transcoder

 Lossless rotation









2

The problem of JPEG transcoding



 Basic JPEG decoder/encoder block diagrams:



JPEG Decoder



DC Huffman IDPCM DC

JPEG Level shifting RGB

IQ IDCT

File YCbCr->RGB Image

AC Huffman DeZigZag AC





JPEG Encoder

DC DPCM DC Huffman

RGB JPEG

RGB->YCbCr

Image DCT Q

Level shifting File

AC

ZigZag AC Huffman







 Reencoding introduces errors because of the

color model conversions (YCbCrRGB)

3

Implementing a JPEG codec in MATLAB





 Extends the MATLAB JPEG Toolbox by Phil Sallee

• http://redwood.ucdavis.edu/phil/demos/jpegtbx/

• Includes functions that cover the more tedious parts of

the codec



Implemented JPEG Encoder Provided by toolbox



DC D P CM D C H uffman



RGB RGB->YCbCr JPEG

I mage Level shifting DC T Q File

AC

ZigZag A C H uffman









 Works with most images!

• Full color, arbitrary size,…

• Some restrictions in subsampling and color models



4

Example of lossy reencoding



Original image Error after reencoding (x15)









SNR=25.1dB 5

Lossless JPEG transcoder [1]





 How to modify decoder/encoder?

Lossy JPEG Transcoder



DC Huffman IDPCM DC

JPEG Level shifting RGB

IQ IDCT

File YCbCr->RGB Image

AC Huffman DeZigZag AC









DC DPCM DC Huffman

RGB JPEG

RGB->YCbCr

Image DCT Q

Level shifting File

AC

ZigZag AC Huffman







Reencoded coefficients are

an estimation of the original ones

-> Correct that estimation!

6

Lossless JPEG transcoder [2]



JPEG Lossless Transcoder - Decoder





DC Huffman IDPCM

DC

JPEG Level shifting RGB

IQ IDCT

File YCbCr->RGB Image

AC

AC Huffman DeZigZag





-

RGB->YCbCr DCT Q

Lossless Difference

Compression

Level shifting + coefficients







Lossless Difference

Decompression

coefficients



DPCM DC Huffman



RGB JPEG

RGB->YCbCr DCT Q

Image Level shifting File

ZigZag AC Huffman



JPEG Lossless Transcoder - Encoder



7

Results of lossless transcoding









Original image Transcoded image Difference coefficients

(contrast ↑↑)







 Lossy reencoding: SNR = 33.2 dB

 Lossless transcoding: SNR = ∞



8

Lossless rotation





 Different approach: Operate on blocks directly

• No need to requantize -> Lossless

• Faster than decoding/encoding

 To rotate an image (90º counterclockwise):

• Rotate whole blocks 1 2 3 3 6 9

(without modifying content) 4 5 6 2 5 8

7 8 9 1 4 7

• Perform the transformation

G(u,v)=F(v,u)(-1)v on each block

□ This rotates the contents in the spatial domain!

• Transpose quantization matrices (they are not symmetric in

general!)









9

Results of lossless rotation [1]



Original image









10

Results of lossless rotation [2]









Those strange

manipulations

actually work!









Losslessly rotated

image

11

Results of lossless rotation [3]



Error when lossy rotation is applied 4 times









 This time SNR=18.1 dB

 Lossy rotation degrades the quality much more than reencoding!

12

Applications of lossless transcoding





 Image editing (allows editors to work with lossy

compressed images without degrading quality)

 Image rotation and other basic transformations

(cropping, flipping,…)

 Image transmission/storage









13

Thanks

for your attention







Any questions?



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