\section{This method}
\begin{frame}
    \centering
    \Huge
    This method
\end{frame}
\subsection{Edge sampling}
\begin{frame}{Edge sampling}
    \begin{block}{Assumptions}
        \begin{itemize}
            \item Continuous parameter set
            \item Triangle meshes
            \item No interpenetrating triangles
            \item No point lights, no perfectly specular surfaces
            \item Ignore time domain
        \end{itemize}
    \end{block}
        \pause
    \begin{block}{Idea}
        \begin{itemize}
            \item Traditional sampling for continuous regions
            \item Edge sampling the discontinuous part
        \end{itemize}
    \end{block}
\end{frame}

\begin{frame}{Edge sampling - Illustration}
    \centering
    \input{presentation/diagrams/edge_sampling}
\end{frame}

\begin{frame}{Edge sampling - half spaces}
    
\end{frame}

\subsection{conclusion - what can this method do?}
% talk about limitations here!

\begin{frame}{Inverse rendering - Results in this paper}
    \begin{block}{Inverse rendering here}
        \begin{itemize}
            \item Fit camera pose, material parameters and light source intensity
            \item Scene: Strong indirect illumination and non lambertian materials
            \item Initial guess: Assign almost all objects a white color, arbitrary camera pose
            \item 177 parameters in total
            \item Absolute difference as loss function and ADAM optimizer
            \item Start at a resulution of $64\times 64$ and linearly increase to $512\times 512$ in 8 steps\\
            $\implies$ Avoid getting stuck in local minima of the loss function
        \end{itemize}
    \end{block}
\end{frame}

\begin{frame}{Inverse rendering - results in this paper}
\begin{center}
    \begin{minipage}{0.25\linewidth}
    \begin{figure}
        \centering
        \includegraphics[width=\linewidth]{presentation/img/results/guess.png}
        \caption{Initial guess}
        \label{fig:results-guess}
    \end{figure}
    \end{minipage}
    \hspace{2mm}
    \begin{minipage}{0.25\linewidth}
    \begin{figure}
        \centering
        \includegraphics[width=\linewidth]{presentation/img/results/photo.png}
        \caption{Target (photograph)}
        \label{fig:results-target}
    \end{figure}
    \end{minipage}
    \hspace{2mm}
    \begin{minipage}{0.25\linewidth}
    \begin{figure}
        \centering
        \includegraphics[width=\linewidth]{presentation/img/results/result.png}
        \caption{Optimized image}
        \label{fig:results-optimized}
    \end{figure}
    \end{minipage}
\end{center}
\end{frame}

\begin{frame}
    \begin{figure}
        \centering
    \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/triangles/img-027.png}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/shade/img-028.png}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/glossy/img-029.png}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/glossy_recv/img-030.png}
    \end{minipage}
        \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/specular/img-031.png}
    \end{minipage}
        \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/global_illumination/img-032.png}
    \end{minipage}
    \begin{minipage}{0.1\linewidth}
        \caption{initial guess}
        \label{fig:grid_init_guess}
    \end{minipage}
    \end{figure}
%%%%%%%%%%%%%%%%%%%%%%%%% second row %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \begin{figure}
    \centering
    \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/triangles/img-033.png}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/shade/img-034.png}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/glossy/img-035.png}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/glossy_recv/img-036.png}
    \end{minipage}
        \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/specular/img-037.png}
    \end{minipage}
        \begin{minipage}{0.14\linewidth}
        \includegraphics[width=\linewidth]{presentation/img/render_optimization/global_illumination/img-038.png}
    \end{minipage}
    \begin{minipage}{0.1\linewidth}
        \caption{target images}
        \label{fig:grid_target}
    \end{minipage}
    \end{figure}
    %%%%%%%%%%%%%%%%%%%%%%%%% third row %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \begin{figure}
    \centering
    \begin{minipage}{0.15\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/render_optimization/triangles/img-039.png}
            \caption{primary occlusion}
        \end{figure}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/render_optimization/shade/img-040.png}
            \caption{shadow}
        \end{figure}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/render_optimization/glossy/img-041.png}
             \caption{glossy}
        \end{figure}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/render_optimization/glossy_recv/img-042.png}
            \caption{glossy receiver}
        \end{figure}
    \end{minipage}
    \begin{minipage}{0.14\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/render_optimization/specular/img-043.png}
            \caption{near-specular}
        \end{figure}
    \end{minipage}
        \begin{minipage}{0.15\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/render_optimization/global_illumination/img-044.png}
            \caption{global illumination}
        \end{figure}
    \end{minipage}
    \begin{minipage}{0.08\linewidth}
        \caption{optimized result}
        \label{fig:grid_optimized}
    \end{minipage}
    \end{figure}
\end{frame}

\begin{frame}{Inverse rendering - example from this paper}
    \centering
    \begin{minipage}{0.19\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/teapot_video/teapot_init.png}
            \vspace{0mm}
            \caption{initial guess}
            \label{fig:teapot_init}
        \end{figure}
    \end{minipage}
        \begin{minipage}{0.19\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/teapot_video/teapot_init_diff.png}
            \caption{difference\\
            initial $\leftrightarrow$ target}
            \label{fig:teapot_init_diff}
        \end{figure}
    \end{minipage}
        \begin{minipage}{0.19\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/teapot_video/teapot_target.png}
            \vspace{0mm}
            \caption{target image}
            \label{fig:teapot_target}
        \end{figure}
    \end{minipage}
        \begin{minipage}{0.19\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/teapot_video/teapot_final_diff.png}
            \caption{difference\\
            final $\leftrightarrow$ target}
            \label{fig:teapot_final_diff}
        \end{figure}
    \end{minipage}
    \begin{minipage}{0.19\linewidth}
        \begin{figure}
            \centering
            \includegraphics[width=\linewidth]{presentation/img/teapot_video/teapot_final.png}
            \vspace{0mm}
            \caption{final image}
            \label{fig:teapot_final}
        \end{figure}
    \end{minipage}
\end{frame}

\begin{frame}{Inverse rendering - example from this paper}
        \centering
  \includemedia[
    width=0.62\linewidth,height=0.35\linewidth,
    activate=onclick,
    addresource=teapot.mp4,
    playbutton=fancy,
    transparent,
    passcontext,
    flashvars={
        source=teapot.mp4
        &autoPlay=true
    }
  ]{}{VPlayer.swf}
  \\ 
  All media in this section taken from \cite{ACM:diffable_raytracing}
\end{frame}