1. Digital Imagery:
The Basic Idea

2. Digital Photography

11. Compressing the original digital image
Original Matrix – this one describes the image
Transpose of
Transforming Matrix W
Transforming Matrix W

12. Original picture A digitized version
64 total pieces of data to describe this picture– Takes a lot of space!

14. N is the rate of compression in the storage matrix
Eliminating all elements less than N = 4

15. Using our Mathematica program to produce the image matrix and compress it

16. Original digital image N=4 Compressed Image
Matrix
29 Pieces of data – Much less to store, Still looks good.

17. 21 Pieces of data – Still looks fairly good
Original digital image
N=8 Compressed Image
Compressed
Matrix
21 Pieces of data – Still looks fairly good