Update annotations of articles/Determining Image Origin and Integrity Using Sensor Noise
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<text font="Sans" size="12.00000000" x="99.13339233" y="333.95510864" color="#00c0ffff" ts="0" fn="">Maximum Likelihood I think</text>
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<text font="Sans" size="12.00000000" x="521.16227813" y="40.24715949" color="#00c0ffff" ts="0" fn="">?</text>
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<text font="Sans" size="12.00000000" x="350.02954102" y="139.25283813" color="#00c0ffff" ts="0" fn="">algorithmitically?</text>
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<text font="Sans" size="12.00000000" x="516.33007812" y="462.80007935" color="#00c0ffff" ts="0" fn="">to check</text>
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<text font="Sans" size="12.00000000" x="481.45550537" y="474.84460449" color="#00c0ffff" ts="0" fn="">dot equal meaning?
|
||||
not considering O(x²)
|
||||
it seems correct</text>
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<text font="Sans" size="12.00000000" x="263.93231201" y="435.04779053" color="#00c0ffff" ts="0" fn="">to check</text>
|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">83.42526245 628.49642944 85.93426514 630.53976440</stroke>
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||||
<teximage text="\text{why } E\left[\frac{\partial^2L(\mathbf{K})}{\partial\mathbf{K}^2}\right] = " left="182.61254883" top="591.45265198" right="280.44054883" bottom="625.72965198"/>
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<teximage text="= \sum_{k=1}^N (\mathbf{I}_k)^2(\mathbf{W}_k / \mathbf{I}_k - \mathbf{K})" left="3.44375610" top="-3.67115784" right="119.75775610" bottom="37.48584216"/>
|
||||
<teximage text="= \sum_{k=1}^N \mathbf{I}_k(\mathbf{W}_k - \mathbf{K}\mathbf{I}_k)" left="3.23849487" top="30.28213501" right="104.01349487" bottom="71.43913501"/>
|
||||
<teximage text="\implies \sum_{k=1}^N \frac{\mathbf{W}_k / \mathbf{I}_k - \mathbf{K}}{1 / (\mathbf{I}_k)^2} = 0" left="153.24240112" top="-1.43804932" right="276.02523272" bottom="39.56195068"/>
|
||||
<teximage text="\iff \sum_{k=1}^N \frac{\mathbf{W}_k / \mathbf{I}_k}{1 / (\mathbf{I}_k)^2} - \sum_{k=1}^N \frac{\mathbf{K}}{1 / (\mathbf{I}_k)^2} = 0" left="149.72015381" top="31.34738159" right="316.63015381" bottom="72.50438159"/>
|
||||
<teximage text="\iff \sum_{k=1}^N \frac{\mathbf{W}_k / \mathbf{I}_k}{1 / (\mathbf{I}_k)^2} = \sum_{k=1}^N \frac{\mathbf{K}}{1 / (\mathbf{I}_k)^2}" left="145.67276001" top="66.19903564" right="295.42476001" bottom="107.35603564"/>
|
||||
<teximage text="\iff \sum_{k=1}^N \frac{\mathbf{W}_k / \mathbf{I}_k}{1 / (\mathbf{I}_k)^2} = \mathbf{K} \sum_{k=1}^N \frac{1}{1 / (\mathbf{I}_k)^2}" left="142.56359863" top="106.72155762" right="302.95659863" bottom="147.87855762"/>
|
||||
<teximage text="\iff \mathbf{K} = \frac{\sum_{k=1}^N \frac{\mathbf{W}_k / \mathbf{I}_k}{1 / (\mathbf{I}_k)^2}}{\sum_{k=1}^N \frac{1}{1 / (\mathbf{I}_k)^2}}" left="142.22589111" top="148.70774841" right="258.83289111" bottom="191.65474841"/>
|
||||
<teximage text="\iff \mathbf{K} = \frac{\sum_{k=1}^N \mathbf{W}_k \mathbf{I}_k}{\sum_{k=1}^N (\mathbf{I}_k)^2}" left="142.66387939" top="187.59588623" right="256.17248725" bottom="225.59588623"/>
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<text font="Sans" size="12.00000000" x="357.29141293" y="84.89545288" color="#00c0ffff" ts="0" fn="">not what I currently focus on</text>
|
||||
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|
||||
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|
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<background type="pdf" pageno="10"/>
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">85.73281899 315.21246471 183.27875914 315.21246471</stroke>
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<text font="Sans" size="12.00000000" x="49.85240131" y="299.48938750" color="#00c0ffff" ts="0" fn="">maybe not what I currently focus on</text>
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<page width="612.00000000" height="792.00000000">
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@ -85,11 +466,26 @@ not interesting occurrences of source</text>
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<text font="Sans" size="12.00000000" x="49.36018785" y="425.39423025" color="#00c0ffff" ts="0" fn="">not what I currently focus on</text>
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||||
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|
||||
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|
||||
<page width="612.00000000" height="792.00000000">
|
||||
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">84.90162197 491.37478319 214.99574693 491.37478319</stroke>
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Loading…
Reference in New Issue
Block a user