1. JPEG 2000 Image Analysis Darius Fennell University of Rochester

2. Experiment Objective Using JPEG 2000 calculate and analyze the following: –Distortion vs. Rate –Distortion vs. Quantization –Time vs. Quantization –Time vs. Resolution

3. Experiment Materials Dell Computer –2.79 GHz Processing –2.00 GB of RAM Matlab 7.0.1 R14 Kakadu JPEG 2000 software 5 Standard images

4. Standard Imagery Originally 3 bands @ 512x512 Reduced to single band 128x128

5. Basic JPEG 2000 Compression Chain

6. Expectation Distortion vs. Rate –As rate increases distortion decreases Distortion vs. Quantization –As step size decreases distortion decreases Time vs. Quantization –As quantization increases time decreases Time vs. Spatial Resolution –As Spatial Resolution increases time increases

7. Distortion vs. Rate Imagery compressed at multiple rates: –7.0,4.0,2.0,1.0,0.5, and 0.25 –Average Bit Rate per pixel Imagery decompressed to each rate and compared to the original. –MSE=var(original-decompressed)

8. Distortion vs. Rate Results

9. Quantization Imagery compressed using varying step sizes:2^-7 to 2^7 MSE calculated Processing time determined by Matlab’s tic/toc command

10. Distortion vs. Quantization Results

11. Time vs. Quantization Results

12. Time vs. Spatial Resolution Images Sizes: –512x512 –256x256 –128x128 –64x64 Processing time determined by Matlab’s tic/toc command

13. Time vs. Spatial Resolution

14. Conclusion Rate & quantization have a drastic effect on the error. Step size does not significantly effect compression time for quantization. Increased spatial resolution increases compression time yet other factors are involved that affect the over processing chain.

15. References http://www.kakadusoftware.com http://www.gvsu.edu/math/wavelets/studen t_work/EF/index.html