Aim

• Gain experience of designing systems for image approximation using signal transforms

Task

You are designing an image compression system as a component of a new photography transmission system for satellite imaging. Your task is to design the image compression algorithm using the wavelet transform. Write a detailed individual report following the points below. For each task below, you need to provide a detailed explanation with thorough justification for each choice you make.

5. Show a schematic diagram that combines the ones derived in C. and D. to apply image approximation. Assume that in the approximation process, all transform coefficients that do not belong to the lowest pass subband are set to zero.

6. Calculate how many operations (additions and multiplications) are required to be carried out for approximation (forward, then inverse wavelet transform with the modification as in E., that is zeroing out all the coefficients except the ones from the lowest pass subband) of an image of the size 1000 x 1000 pixels. Assume that the wavelet filters used in the process consist of 4 coefficients. Show and explain every step of the calculations. Show how the downsampling operator can reduce the number of operations.