Question: a) Consider a hypothetical DWT Decomposition Level information given below for an image of size 1024x1024 pixels. Answer the following questions: 9 marks Decomposition

a) Consider a hypothetical DWT Decomposition Level information given below for an

a) Consider a hypothetical DWT Decomposition Level information given below for an image of size 1024x1024 pixels. Answer the following questions: 9 marks Decomposition Level 1 2 3 4 Approximation Coefficient Image 512x512 1. 11. 256x256 128x128 64x64 Truncated Coefficients (%) 80% 92% 96% 96.5% Reconstruction Error (rms) 3.42 4.44 4.56 4.65 For compression, which decomposition level is best and which is the worst and why? For image reconstruction, which decomposition level is best and which is the worst and why? From computational burden consideration, which decomposition level is adequate and why? b) What is the main difference between the coefficients of 'Averaging' operation based masks compared to 'Differentiation' operation based masks? What is the resulting effect on the images by these two types of masks? 6 marks

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Answer a For compression The best decomposition level for compression would be the one with the highest percentage of truncated coefficients as it means a larger portion of the coefficients are discar... View full answer

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