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Update on Overleaf.

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uxwmp 2023-06-15 14:59:48 +00:00 • committed by node
parent 2a00e92d0f
commit 2b23c95228
4 changed files with 60 additions and 72 deletions
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17
presentation/diagrams/diagramm_occlusion.tex
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@ -1,8 +1,3 @@
\documentclass[margin=5mm, tikz]{standalone}
\usepackage{tikz, ifthen, calc}
\begin{document}
\begin{tikzpicture} \begin{tikzpicture}
\def\raynum{120} \def\raynum{120}
@ -10,9 +5,9 @@
\foreach \x in {0,...,\raynum} { \foreach \x in {0,...,\raynum} {
\ifthenelse{\x < 20 \OR \x>100} \ifthenelse{\x < 20 \OR \x>100}
{ {
\draw[color = red] (\x /\raynum * 6 ,0) -- (3,4); \draw[color = kit-blue100] (\x /\raynum * 6 ,0) -- (3,4);
}{ }{
\draw[color = green] (\x /\raynum * 6 ,0) -- (3,4); \draw[color = kit-green100] (\x /\raynum * 6 ,0) -- (3,4);
} }
} }
@ -22,13 +17,13 @@
] (1.49,1) -- (4.51,1) -- (5.01,0) -- (0.99,0) -- cycle; ] (1.49,1) -- (4.51,1) -- (5.01,0) -- (0.99,0) -- cycle;
\draw [color=red] (0,0) -- node[below]{wall} (6,0) ; % wall \draw [color=kit-blue100] (0,0) -- node[below]{wall} (6,0) ; % wall
\draw [color=green](1.5,1) -- node[below]{blocker} (4.5,1); %blocker \draw [color=kit-green100](1.5,1) -- node[below]{blocker} (4.5,1); %blocker
%cam %cam
\node[ \node[
circle, circle,
fill = black, fill = kit-gray100,
minimum width = 1mm, minimum width = 1mm,
outer sep = 2mm outer sep = 2mm
] (camera) at (3,4) {}; ] (camera) at (3,4) {};
@ -36,5 +31,3 @@
\end{tikzpicture} \end{tikzpicture}
\end{document}

51
presentation/diagrams/geometry_term_diff.tex Normal file
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@ -0,0 +1,51 @@
\begin{center}
\begin{minipage}{0.4\linewidth}
\begin{figure}
\centering
\begin{minipage}{0.5\linewidth}
\begin{tikzpicture}[domain=-0.5:2]
\draw[very thin,color=gray] (-0.1,-0.6) grid (2.1,2.1);
\draw[->] (-0.2,-0.5) -- (2.2,-0.5) node[right] {$\omega$};
\draw[->] (0,-0.7) -- (0,2.2) node[above] {$V(x,\omega)$};
\draw (0,0) -- (1,0) plot coordinates {(0,0) (1,0)}[color=red];
\draw (1,1) -- (2,1) plot coordinates {(1,1) (2,1)}[color=red];
\draw (0,0) node[left] {$0$};
\draw (0,1) node[left] {$1$};
\draw (1,-0.7) node[below] {$\omega_0$};
\end{tikzpicture}
\end{minipage}
\hspace{3mm}
\begin{minipage}{0.4\linewidth}
\caption{Visibility of a point $x$ with respect to $\omega$. Observe the discontinuity at $\omega_0$.}
\label{fig:visibility}
\end{minipage}
\end{figure}
\end{minipage}
% second diagram
\begin{minipage}{0.5\linewidth}
\begin{figure}
\centering
\begin{minipage}{0.5\linewidth}
\begin{tikzpicture}[domain=-0.5:2]
\draw[very thin,color=gray] (-0.1,-0.6) grid (2.1,2.1);
\draw[->] (-0.2,-0.5) -- (2.2,-0.5) node[right] {$\omega$};
\draw[->] (0,-0.7) -- (0,2.2) node[above] {$\frac{\partial}{\partial\omega}V(x,\omega)$};
\draw (0,0) -- (2,0) plot coordinates {(0,0) (2,0)}[color=red];
\draw (0,0) node[left] {$0$};
\draw (0,1) node[left] {$1$};
\draw (0,2) node[left] {$\infty$};
\draw (1,2) node[color=red] {$\bullet$};
\draw (1,-0.7) node[below] {$\omega_0$};
\end{tikzpicture}
\end{minipage}
\begin{minipage}{0.4\linewidth}
\caption{Differentiation of the left graph with respect to $\omega$. Observe the discontinuity at $\omega_0$ in the left graph leading to a dirac delta spike at $\omega_0$ in the differentiation.}
\label{fig:dirac-delta-spike}
\end{minipage}
\end{figure}
\end{minipage}
\end{center}

62
presentation/modules/problems.tex
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@ -10,69 +10,11 @@
\item Rendering integral contains the geometry term that is not differentiable \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 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 \item Differentiation with respect to certain scene parameters possible but we need to differentiate with respect to any scene parameter
\end{itemize} \end{itemize}
\pause
\begin{center}
\begin{minipage}{0.4\linewidth}
\begin{figure}
\centering
\begin{minipage}{0.5\linewidth}
\begin{tikzpicture}[domain=-0.5:2]
\draw[very thin,color=gray] (-0.1,-0.6) grid (2.1,2.1);
\draw[->] (-0.2,-0.5) -- (2.2,-0.5) node[right] {$\omega$};
\draw[->] (0,-0.7) -- (0,2.2) node[above] {$V(x,\omega)$};
\draw (0,0) -- (1,0) plot coordinates {(0,0) (1,0)}[color=red];
\draw (1,1) -- (2,1) plot coordinates {(1,1) (2,1)}[color=red];
\draw (0,0) node[left] {$0$};
\draw (0,1) node[left] {$1$};
\draw (1,-0.7) node[below] {$\omega_0$};
\end{tikzpicture}
\end{minipage}
\hspace{3mm}
\begin{minipage}{0.4\linewidth}
\caption{Visibility of a point $x$ with respect to $\omega$. Observe the discontinuity at $\omega_0$.}
\label{fig:visibility}
\end{minipage}
\end{figure}
\end{minipage}
% second diagram
\begin{minipage}{0.5\linewidth}
\begin{figure}
\centering
\begin{minipage}{0.5\linewidth}
\begin{tikzpicture}[domain=-0.5:2]
\draw[very thin,color=gray] (-0.1,-0.6) grid (2.1,2.1);
\draw[->] (-0.2,-0.5) -- (2.2,-0.5) node[right] {$\omega$};
\draw[->] (0,-0.7) -- (0,2.2) node[above] {$\frac{\partial}{\partial\omega}V(x,\omega)$};
\draw (0,0) -- (2,0) plot coordinates {(0,0) (2,0)}[color=red];
\draw (0,0) node[left] {$0$};
\draw (0,1) node[left] {$1$};
\draw (0,2) node[left] {$\infty$};
\draw (1,2) node[color=red] {$\bullet$};
\draw (1,-0.7) node[below] {$\omega_0$};
\end{tikzpicture}
\end{minipage}
\begin{minipage}{0.4\linewidth}
\caption{Differentiation of the left graph with respect to $\omega$. Observe the discontinuity at $\omega_0$ in the left graph leading to a dirac delta spike at $\omega_0$ in the differentiation.}
\label{fig:dirac-delta-spike}
\end{minipage}
\end{figure}
\end{minipage}
\end{center}
\end{frame} \end{frame}
\begin{frame}{Geometry term} \begin{frame}{Geometry term}
\centering \centering
\begin{minipage}{0.4\linewidth} \input{presentation/diagrams/diagramm_occlusion.tex}
\includegraphics[width=\linewidth]{presentation/img/blockers.png}
\end{minipage}
\hspace{15mm}
\begin{minipage}{0.4\linewidth}
\includegraphics[width=\linewidth]{presentation/img/blockers_diff.png}
\end{minipage}
\end{frame} \end{frame}
\subsection{Former methods} \subsection{Former methods}
\begin{frame}{Former methods} \begin{frame}{Former methods}

2
presentation/presentation.tex
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@ -9,6 +9,8 @@
\usepackage{caption} \usepackage{caption}
\captionsetup[figure]{labelformat=empty} \captionsetup[figure]{labelformat=empty}
\usepackage{csquotes} \usepackage{csquotes}
\usepackage{tikz, ifthen, calc}
\titleimage{banner_2020_kit} \titleimage{banner_2020_kit}