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@ -30,12 +30,12 @@ def getPrnuShownAsSuch(size, gaussianNoise = 0):
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break
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# Center vertically, especially in the case `HEIGHT` > `WIDTH`.
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draw.text((0, HEIGHT // 2 - fontSize // 2), TEXT, 255, font = font)
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imageNpArray = np.array(imagePil)
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imageNpArray = np.array(imagePil, dtype = np.float64)
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gaussianNoiseNpArray = randomGaussianImage(gaussianNoise, size[::-1])
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#prnuShownAsSuch = imageNpArray + gaussianNoiseNpArray
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prnuShownAsSuch = imageNpArray
|
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for y in range(HEIGHT):
|
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for x in range(WIDTH):
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if prnuShownAsSuch[y, x] != 0:
|
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prnuShownAsSuch[y, x] += gaussianNoiseNpArray[y, x]
|
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return prnuShownAsSuch
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prnuShownAsSuch[y, x] = gaussianNoiseNpArray[y, x]
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return prnuShownAsSuch
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@ -0,0 +1 @@
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https://ieeexplore.ieee.org/abstract/document/4218950
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@ -0,0 +1 @@
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https://web.archive.org/web/20240521094929/https://arxiv.org/pdf/2112.02858
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https://en.wikipedia.org/w/index.php?title=Cram%C3%A9r%E2%80%93Rao_bound&oldid=1223930930
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<text font="Sans" size="12.00000000" x="4.21063267" y="76.87832085" color="#00c0ffff" ts="0" fn="">summary:
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||||
|
||||
PRNU estimation using (6) (have to investigate the denoiser used)
|
||||
pre-process PRNU estimation:
|
||||
- remove for each row and column its mean
|
||||
- if visually identifiable patterns in ZM(K), then Wiener filter in Fourier domain
|
||||
- high-pass filtering in the Fourier domain</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?
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not considering O(x²)
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it seems correct</text>
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<teximage text="\mathbf{X} \text{ and } \mathbf{Y} \text{ seem to be images not sets of images}\\ \text{so } \mathbf{\bar{X}} \text{ seems to be the average pixel value of } \mathbf{X} \text{ and not the average image}" left="45.48101807" top="625.96652830" right="321.24827059" bottom="651.70501709"/>
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<text font="Sans" size="12.00000000" x="210.09564209" y="213.57748413" color="#00c0ffff" ts="0" fn="">how?</text>
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||||
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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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<text font="Sans" size="12.00000000" x="167.76638794" y="520.64541626" color="#00c0ffff" ts="0" fn="">why?</text>
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<text font="Sans" size="12.00000000" x="167.63052368" y="618.00769043" color="#00c0ffff" ts="0" fn="">why?</text>
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<teximage text="\text{why } E\left[\sum_{k=1}^N(\mathbf{I}_k)^2\right] = \sum_{k=1}^N(\mathbf{I}_k)^2?" left="183.49615479" top="591.16033936" right="300.89061988" bottom="625.16033936"/>
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<text font="Sans" size="12.00000000" x="2.33728027" y="715.83953857" color="#00c0ffff" ts="0" fn="">so there is no better *distance* to attribute a source camera or I am misunderstanding the purpose
|
||||
of the ML?</text>
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<text font="Sans" size="12.00000000" x="317.21777344" y="8.99786377" color="#00c0ffff" ts="0" fn="">in theory we would not like any saturation,
|
||||
is there a physical sensor limitation avoiding
|
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saturation?</text>
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<text font="Sans" size="12.00000000" x="325.64184570" y="125.86141968" color="#00c0ffff" ts="0" fn="">just describing these terms?</text>
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<text font="Sans" size="12.00000000" x="375.60253906" y="70.74871826" color="#00c0ffff" ts="0" fn="">to check from (7) but makes sense</text>
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<text font="Sans" size="12.00000000" x="319.67297363" y="138.03695679" color="#00c0ffff" ts="0" fn="">seems to make sense but what precise
|
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argument is used here?</text>
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|
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<text font="Sans" size="12.00000000" x="387.70733643" y="225.17886353" color="#00c0ffff" ts="0" fn="">argument?</text>
|
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<text font="Sans" size="12.00000000" x="427.26794434" y="200.27055359" color="#00c0ffff" ts="0" fn="">argument?</text>
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<text font="Sans" size="12.00000000" x="291.08165394" y="565.81793919" color="#00c0ffff" ts="0" fn="">it seems that the gain is only introduced at the color
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interpolation step</text>
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<text font="Sans" size="12.00000000" x="474.48402594" y="649.18218944" color="#00c0ffff" ts="0" fn="">like?</text>
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<text font="Sans" size="12.00000000" x="318.42626146" y="675.00273397" color="#00c0ffff" ts="0" fn="">related to DSNU row/column artifacts?</text>
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<layer>
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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"/>
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||||
<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"/>
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||||
<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"/>
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||||
<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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||||
<teximage text="\text{by linearity of expected value, my actual question is why } \sum_{k=1}^NE[(\mathbf{I}_k)^2] = \sum_{k=1}^N(\mathbf{I}_k)^2?" left="311.52549129" top="-2.28384399" right="596.12817236" bottom="61.96316552"/>
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">50.44703208 180.90275536 244.44375345 180.90275536</stroke>
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<text font="Sans" size="12.00000000" x="111.73567338" y="193.13123467" color="#00c0ffff" ts="0" fn="">fixe</text>
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">48.74759390 295.11279902 150.13120123 295.11279902</stroke>
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">48.63887818 305.97223960 283.79334980 305.97223960</stroke>
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">49.06749883 329.07175111 105.61027144 329.07175111</stroke>
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<text font="Sans" size="12.00000000" x="135.44167763" y="306.34509378" color="#00c0ffff" ts="0" fn="">same for rows</text>
|
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<text font="Sans" size="12.00000000" x="104.01898849" y="279.02986889" color="#00c0ffff" ts="0" fn="">only b), no? and maybe not even completelly</text>
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">48.86395163 403.08421742 286.22879219 403.08421742</stroke>
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">48.73201985 415.13664309 187.06767062 415.13664309</stroke>
|
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<text font="Sans" size="12.00000000" x="46.73948682" y="390.13703149" color="#00c0ffff" ts="0" fn="">argument?</text>
|
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">206.91503099 415.53977777 284.60588323 415.53977777</stroke>
|
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">48.14256400 427.59472555 252.23296976 427.59472555</stroke>
|
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">49.97089481 440.58356167 78.79418708 440.58356167</stroke>
|
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">144.93158514 440.06478806 165.44334579 440.06478806</stroke>
|
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">232.20358604 441.93443109 285.38576599 441.93443109</stroke>
|
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">49.76830601 452.43895980 203.33352914 452.43895980</stroke>
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">65.43435341 464.59350586 282.77214436 464.59350586</stroke>
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">62.22650197 477.83372107 229.11525163 477.83372107</stroke>
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<text font="Sans" size="12.00000000" x="230.99488818" y="465.46172843" color="#00c0ffff" ts="0" fn="">like usual square, right? No along rows and columns? well it
|
||||
seems clear to me, if it was 4 there would be doubt but it is
|
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not the case</text>
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">82.19327060 489.58326608 115.80655710 489.58326608</stroke>
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<text font="Sans" size="12.00000000" x="295.42438097" y="140.58574078" color="#00c0ffff" ts="0" fn="">I should display such one to have an idea what it
|
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looks like</text>
|
||||
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">474.35383442 622.98064025 563.23298525 622.98064025</stroke>
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">323.57379503 634.63220114 386.48725966 634.63220114</stroke>
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<text font="Sans" size="12.00000000" x="324.50536302" y="542.32024894" color="#00c0ffff" ts="0" fn="">could reproduce</text>
|
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|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">532.05233487 568.65441188 566.89913589 568.65441188</stroke>
|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">326.45566326 579.76767800 562.09036439 579.76767800</stroke>
|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">325.07551209 592.86715925 346.86915340 592.86715925</stroke>
|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">377.21703900 592.41234645 562.28046397 592.41234645</stroke>
|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">326.50792146 608.48330663 479.66306678 608.48330663</stroke>
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">360.59247482 370.80607769 452.64693660 370.80607769</stroke>
|
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|
||||
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|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">351.95635331 478.41970901 360.06030879 481.32268732</stroke>
|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">368.16078375 483.04682960 418.11455767 483.04682960</stroke>
|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">490.41743003 470.08336595 531.59094070 470.08336595</stroke>
|
||||
<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">476.05005690 377.71796865 510.03202455 377.71796865</stroke>
|
||||
<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">365.32673481 389.18784906 403.18625436 389.18784906</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">406.50624677 384.14855200 523.58813178 384.14855200</stroke>
|
||||
<text font="Sans" size="12.00000000" x="321.91570692" y="447.04169660" color="#00c0ffff" ts="0" fn="">decrease in all color channels for all operations</text>
|
||||
<text font="Sans" size="12.00000000" x="259.42894802" y="535.67410051" color="#00c0ffff" ts="0" fn="">decrease absolutely in all color channels for all operations</text>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">465.24486699 394.97940442 477.79275438 394.97940442</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">502.72938121 393.84499542 519.72079216 393.84499542</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">541.31948928 393.78844963 553.55036518 393.78844963</stroke>
|
||||
<text font="Sans" size="12.00000000" x="385.93946725" y="438.38111058" color="#ff00ffff" ts="0" fn="">missing space?</text>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">367.55673747 407.32051124 372.86444471 408.74270711</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">349.29047892 421.19508854 375.93328303 422.38043162</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">331.84249500 436.94917033 371.81468761 436.94917033</stroke>
|
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<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">124.15327592 493.75228251 285.36399682 493.75228251</stroke>
|
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">83.78749879 500.96337184 285.33152357 500.96337184</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">50.19340830 515.33986241 238.75907524 515.33986241</stroke>
|
||||
<text font="Sans" size="12.00000000" x="1.99971551" y="501.09241328" color="#00c0ffff" ts="0" fn="">is a method proposed to automatize such identification?</text>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">49.71749802 533.92424780 283.86110544 533.92424780</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">48.92813943 547.51584392 258.93746195 547.51584392</stroke>
|
||||
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|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">77.00321418 586.48247837 77.00321418 586.48247837</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">113.06361679 585.96796714 176.20677858 585.96796714</stroke>
|
||||
<text font="Sans" size="12.00000000" x="162.27111816" y="582.22521065" color="#00c0ffff" ts="0" fn="">values?</text>
|
||||
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|
||||
<stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">285.74506271 568.38969081 289.28853185 561.35158066</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">154.74069138 614.95363850 285.30237036 614.95363850</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">48.40104284 638.26755089 179.28073398 638.26755089</stroke>
|
||||
<text font="Sans" size="12.00000000" x="39.45615154" y="618.35383644" color="#00c0ffff" ts="0" fn="">what about something like an histogram?</text>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">207.12328194 586.54394229 287.11063869 586.54394229</stroke>
|
||||
<text font="Sans" size="12.00000000" x="80.33303505" y="597.63020665" color="#00c0ffff" ts="0" fn="">?</text>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">48.95066190 597.65529160 283.71854369 597.65529160</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">50.58475211 614.63315349 139.33713166 614.63315349</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">75.44404337 652.19547492 288.57484345 652.19547492</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">47.97833655 664.03051960 133.36956412 664.03051960</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">159.97735646 664.79083605 283.28571844 664.79083605</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">52.20492024 676.06579489 282.52852665 676.06579489</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">51.43394785 688.01198912 171.56945370 688.01198912</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">199.47988967 687.82035891 282.75887932 687.82035891</stroke>
|
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<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">50.20028106 699.71590909 287.50250070 699.71590909</stroke>
|
||||
<stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">47.27143847 712.15310845 70.40158785 712.15310845</stroke>
|
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">103.35564732 710.89154708 160.10100474 710.89154708</stroke>
|
||||
<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">189.26515185 710.79883821 284.54188281 710.79883821</stroke>
|
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<stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">50.59094390 723.90701672 253.79754975 723.90701672</stroke>
|
||||
<text font="Sans" size="12.00000000" x="56.83878603" y="373.35349702" color="#00c0ffff" ts="0" fn="">linear pattern no more used in the paper remaining?</text>
|
||||
<teximage text="corr?\\ \text{The only other occurrence is in VI. D.}" left="327.64978027" top="349.43379211" right="447.58863276" bottom="370.27279020"/>
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<text font="Sans" size="12.00000000" x="462.96081543" y="350.33961487" color="#00c0ffff" ts="0" fn="">I would say so</text>
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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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<text font="Sans" size="12.00000000" x="493.49877514" y="457.36006076" color="#00c0ffff" ts="0" fn="">should investigate</text>
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<text font="Sans" size="12.00000000" x="389.90006581" y="432.13162644" color="#00c0ffff" ts="0" fn="">what about raw images?</text>
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<text font="Sans" size="12.00000000" x="329.83006903" y="407.93830791" color="#00c0ffff" ts="0" fn="">not the same 3 as in 3x3 on page 5, right?
|
||||
or it means same variance 3 in 2 axes?</text>
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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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|
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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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<text font="Sans" size="12.00000000" x="5.15356417" y="609.08074222" color="#00c0ffff" ts="0" fn="">all authors
|
||||
of this paper</text>
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https://en.wikipedia.org/w/index.php?title=Fixed-pattern_noise&oldid=1194558977
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<text font="Sans" size="12.00000000" x="6.39447301" y="389.82584827" color="#00c0ffff" ts="0" fn="">of this pixel?</text>
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<text font="Sans" size="12.00000000" x="45.03552702" y="612.63634116" color="#00c0ffff" ts="0" fn="">could look at article sources or more especially for the PRNU article</text>
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<text font="Sans" size="12.00000000" x="286.80755357" y="526.59200965" color="#00c0ffff" ts="0" fn="">really do not take mean for a pixel along time?</text>
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<text font="Sans" size="12.00000000" x="283.34484847" y="594.68230106" color="#00c0ffff" ts="0" fn="">so not *perfect*?</text>
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https://web.archive.org/web/20240508002815/https://ieeexplore.ieee.org/ielx7/6287639/10005208/10271281.pdf
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one as mean is
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not zero?</text>
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brighter
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rotated
|
||||
horizontal?
|
||||
|
||||
Is it due to
|
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blackness
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introduced by
|
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due to bricks
|
||||
it seems cf
|
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sin(x)</text>
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https://en.wikipedia.org/w/index.php?title=Glare_(vision)&oldid=1220721645
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|
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|
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|
||||
https://en.wikipedia.org/w/index.php?title=Gradient-domain_image_processing&oldid=1189905320
|
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|
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<?xml version="1.0" standalone="no"?>
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Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user