George Mason University

Conor Philip Nelson

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Math 447: Numerical Analysis

Project 5

Step 1

Step 2

Step 3

Step 4

Computer Problem 11.2.4:
4. Carry out the steps of Computer Problem 3, but quantize by the JPEG-suggested matrix (11.25) with \(p=1\)

Instead of using the Hilbert matrix, we will use the JPEG standard Quantization matrix: \[ Q = p \left( \begin{matrix} 16 & 11 & 10 & 16 & 24 & 40 & 51 &61\\ 12 & 12 & 14 & 19 & 26 & 58 & 60 & 55\\ 14 & 13 & 16 & 24 & 40 & 57 & 69 & 56\\ 14 & 17 & 22 & 29 & 51 & 87 & 80 & 62\\ 18 & 22 & 37 & 56 & 68 & 109 & 103 & 77\\ 24 & 35 & 55 & 64 & 81 & 104 & 113 & 92\\ 49 & 64 & 78 & 87 & 103 & 121 & 120 & 101\\ 72 & 92 & 95 & 98 & 112 & 100 & 103 & 99\\ \end{matrix} \right) \]

\(p=1\)	Original
\(p=2\)	Original
\(p=4\)	Original
\(p=10\)	Original
\(p=14\)	Original

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