clara/proseminar
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

Update on Overleaf.

Browse source
This commit is contained in:
uxwmp 2023-06-20 21:44:46 +00:00 • committed by node
parent 56db2749e9
commit 16c3bbe6c4
1 changed files with 4 additions and 4 deletions
Download patch file Download diff file Expand all files Collapse all files

8
handout/handout.tex
View file

@ -76,13 +76,13 @@ Differentiable ray tracing is the task of calculating the gradient of this proce
\section{Problems with differentiability} \section{Problems with differentiability}
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. 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.
\begin{figure} \begin{figure}[h]
\centering \centering
\include{handout/diagrams/diagramm_occlusion} \include{handout/diagrams/diagramm_occlusion}
\caption{Caption} \caption{A simple occlusion scenario. An infinitesimal change in ray angle $d\omega$ is sufficient to determine whether the wall is visible or not.}
\label{fig:enter-label} \label{fig:occlusion_rays}
\end{figure} \end{figure}
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.
% BIBLIOGRAPHY % BIBLIOGRAPHY
\nocite{*} % List all entries of the .bib file, even those not cited in the main body \nocite{*} % List all entries of the .bib file, even those not cited in the main body
\printbibliography \printbibliography