A 10" × 8" color picture is to be compressed using a lossy compression algorithm with a compression ratio of 20:1. If the image has a resolution of 72 dpi and each dot is made up of a trio of color pixels (each pixel has 4,096 levels), what is the size of the image in bits?
What will be an ideal response?
The image has 10 × 72 pixels per line vertically and 8 × 72 pixels per line horizontally. The total number of pixels
is 10 × 72 × 8 × 72 × 3 (the factor 3 is because there are three color values per pixel). If each element has 4,096
levels, a 12?bit code is required (4,096 = 212). The total storage requirement is (10 × 72 × 8 × 72 × 3 × 12)/20 bits
if the images are compressed by a factor of 20. This gives 746,496 bits/image.
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