Update on Overleaf.
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@ -76,13 +76,13 @@ Differentiable ray tracing is the task of calculating the gradient of this proce
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\section{Problems with differentiability}
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The geometry term $g(x,x^\prime)$ in equation \ref{eq:rendering_integral} is the main problem when it comes do differentiating the rendering integral. This term is 1 iff $x$ is visible from $x^\prime$, 0 otherwise.
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\begin{figure}
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\begin{figure}[h]
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\centering
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\include{handout/diagrams/diagramm_occlusion}
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\caption{Caption}
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\label{fig:enter-label}
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\caption{A simple occlusion scenario. An infinitesimal change in ray angle $d\omega$ is sufficient to determine whether the wall is visible or not.}
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\label{fig:occlusion_rays}
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\end{figure}
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As illustrated in figure \ref{fig:occlusion_rays} an infinitesimal angle change $d\omega$ can lead to the blocker obstructing the wall or the wall being visible. The geometry term is thus a Heaviside step function which when differentiated yields a dirac delta functional.
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% BIBLIOGRAPHY
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\nocite{*} % List all entries of the .bib file, even those not cited in the main body
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\printbibliography
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