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HW8_DCT

# HW8_DCT - image using the modified DCT coefficients(for a...

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Polytechnic University, Dept. Electrical and Computer Engineering EE3414 Multimedia Communication System I Spring 2006, Yao Wang __________________________________________________________________________________________ Homework 8 (DCT) Reading assignment: Y. Wang, “Image Compression”, Laboratory Manual for EL514, Copies provided. Written Assignment : 1. For the 2x2 image S given below, compute its 2D DCT, reconstruct it by retaining different number of coefficients to evaluate the effect of different basis images. a. Determine the four DCT basis images. b. Determine the 2D-DCT coefficients for S, T k,l, k=0,1;l=0,1. c. Show that the reconstructed image from the original DFT coefficients equal to the original image. d. Modify the DCT coefficients using the given window masks ( W 1 to W 5 ) and reconstruct the
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Unformatted text preview: image using the modified DCT coefficients. (for a given mask, “1” indicates to retain that coefficient, “0” means to set the corresponding coefficient to zero) What effect do you see with each mask and why? = = = = = = 1 1 , 1 , 1 , 1 , 1 , 9 1 1 9 5 4 3 2 1 W W W W W S 2. For the same image S as given in Prob. 1, quantize its DCT coefficients using the quantization matrix Q . Determine the quantized coefficient indices and quantized values. Also, determine the reconstructed image from the quantized coefficients. = 5 3 3 3 Q...
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