The Cauchy Problem for the Laplace Equation and Application to Image Inpainting

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<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
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</svg> reconstruction error for both <svg height="7.1624999" id="M97" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑢</tspan>
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</svg> (a) and <svg height="10.9125" id="M98" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 35.612499 10.9125" width="35.612499" xmlns="http://www.w3.org/2000/svg">
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<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜕</tspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">𝑢</tspan>
<tspan style="font-size: 12.50px; " x="12.302952" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="15.778786" y="0">𝜕</tspan>
<tspan style="font-size: 12.50px; " x="22.167818" y="0">𝑛</tspan>
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</svg> (b).</table>

International Scholarly Research Notices

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Figure 1

Figure 1: The Cauchy Problem for the Laplace Equation and Application to Image Inpainting 