proseminar/presentation/modules/problems.tex
2023-06-15 15:56:47 +00:00

83 lines
No EOL
3.5 KiB
TeX

\section{Problems}
\begin{frame}
\centering
\Huge
Problems
\end{frame}
\subsection{Why differentiable rendering is hard}
\begin{frame}{Why differentiable rendering is hard}
\begin{itemize}
\item Rendering integral contains the geometry term that is not differentiable
\item The gradiant of the visibility can lead to dirac delta terms which have 0 probability of being sampled correctly [\cite{ACM:diracdelta},\cite{ACM:diffable_raytracing}]
\item Differentiation with respect to certain scene parameters possible but we need to differentiate with respect to any scene parameter
\end{itemize}
\end{frame}
\begin{frame}{primary occlusion}
\centering
\input{presentation/diagrams/diagramm_occlusion.tex}
\end{frame}
\begin{frame}{Angle change $\leftrightarrow$ visibility change}
\centering
\input{presentation/diagrams/geometry_term_diff.tex}
\end{frame}
\subsection{Former methods}
\begin{frame}{Former methods}
\begin{block}{Previous differentiable renderers considered by this paper}
\begin{itemize}
\item OpenDR [\cite{DBLP:OpenDR}]
\item Neural 3D Mesh Renderer [\cite{DBLP:Neural3DKatoetal}]
\item Both rasterization based (first render the image using rasterization, then approximate the gradients using the resulting color buffer)
\item Focused on speed rather than precision
\end{itemize}
\end{block}
\end{frame}
\begin{frame}{Former methods - visualization}
\begin{figure}
\begin{minipage}{0.12\linewidth}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{presentation/img/comparisons/plane.png}
\caption{planar scene}
\label{fig:planar-scene}
\end{figure}
\end{minipage}
\hspace{2mm}
\begin{minipage}{0.12\linewidth}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{presentation/img/comparisons/opendr.png}
\caption{OpenDR}
\label{fig:grad-OpenDR}
\end{figure}
\end{minipage}
\hspace{2mm}
\begin{minipage}{0.12\linewidth}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{presentation/img/comparisons/Neural.png}
\caption{Neural}
\label{fig:grad-Neural3DMesh}
\end{figure}
\end{minipage}
\hspace{2mm}
\begin{minipage}{0.12\linewidth}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{presentation/img/comparisons/ours.png}
\caption{this paper}
\label{fig:grad-this}
\end{figure}
\end{minipage}
\hspace{4mm}
\begin{minipage}{0.3\linewidth}
\caption{
%A plane lit by a point light source. Images visualize a gradient with respect to the plane moving right. Since the light source remains static the gradient should only be $\ne 0$ at the boundaries. OpenDR and Neural are not able to correctly calculate the gradients as they are based on color buffer differences.\\
Visualizations of gradients calculated by different differentiable renderers.\\
Images: \cite{ACM:diffable_raytracing}
}
\label{fig:grad-explanation}
\end{minipage}
\end{figure}
\pause
$\implies$ Problems are caused at the edges and by approximation using color buffers
\end{frame}