diff --git a/presentation/diagrams/raytracing_anim.tex b/presentation/diagrams/raytracing_anim.tex
index 7108a5c..92def99 100644
--- a/presentation/diagrams/raytracing_anim.tex
+++ b/presentation/diagrams/raytracing_anim.tex
@@ -41,7 +41,7 @@
         \begin{tikzpicture}
             % scene seite
             \node[above] at (2,2) {side view};
-            \node[below] at (2,-0.5) {(no indirect lighting)};
+            \node[below] at (2,-0.5) {\footnotesize (no indirect lighting)};
 
             \draw[
                 kit-green100
diff --git a/presentation/modules/motivation.tex b/presentation/modules/motivation.tex
index 49d6833..82de314 100644
--- a/presentation/modules/motivation.tex
+++ b/presentation/modules/motivation.tex
@@ -65,6 +65,7 @@ with Differentiable Monte Carlo Raytracing [\cite{ACM:inverse_rendering}]\\
         \end{itemize}
         \pause{}
         \vspace{15mm}
+        \footnotesize
         Image source: Auth0, \href{https://auth0.com/blog/captcha-can-ruin-your-ux-here-s-how-to-use-it-right/}{CAPTCHA Can Ruin Your UX. Here’s How to Use it Right}
     \end{minipage}
     \begin{minipage}{0.5\linewidth}
diff --git a/presentation/modules/this_method.tex b/presentation/modules/this_method.tex
index 5d668de..d9697d0 100644
--- a/presentation/modules/this_method.tex
+++ b/presentation/modules/this_method.tex
@@ -9,9 +9,9 @@
     \setbeamercovered{transparent}
     \begin{block}{Assumptions}
         \begin{itemize}
-            \item Continuous parameter set
             \item Triangle meshes
             \item No interpenetrating triangles
+            \item Continuous parameter set
             \item No point lights, no perfectly specular surfaces
             \item Ignore time domain
         \end{itemize}
@@ -66,8 +66,8 @@
         \[
             \sum_i\iint
             \underbrace{\theta(}_{\text{Step function}}
-            \underbrace{\alpha_i(x,y)}_{\text{Edge equation formed by the triangle edge}})
-            \underbrace{f_i(x,y)}_{\text{Half space (may contain Heaviside step functions itself)}}
+            \underbrace{\alpha_i(x,y)}_{\text{Edge equation}})
+            \underbrace{f_i(x,y)}_{\text{Half space}}
         \]
         }
     
@@ -87,47 +87,66 @@
         
 \end{frame}
 
-\begin{frame}{Inverse Rendering~-~Results in this Paper}
-    \begin{block}{Inverse rendering here}
-        \begin{itemize}
-            \item Parameters: Camera pose, material parameters, light source intensity
-            \item Scene: Strong indirect illumination and non lambertian materials
-            \item Initial guess: Almost all objects white, arbitrary camera pose
-            \item 177 parameters
-            \item Loss function: Absolute difference
-            \item ADAM optimizer
-            \item Start resolution of $64\times 64$, linearly increase to $512\times 512$ in 8 steps\\
-            $\implies$ Avoid local minima of the loss function
-        \end{itemize}
-    \end{block}
+\begin{frame}{Inverse Rendering~-~Example from this Paper}
+    \centering
+    \begin{minipage}{0.19\linewidth}
+        \begin{figure}
+            \centering
+            \includegraphics[width=\linewidth]{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]{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]{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]{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]{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~-~Results in this Paper}
-\begin{center}
-    \begin{minipage}{0.25\linewidth}
-    \begin{figure}
+\begin{frame}{Inverse Rendering~-~Example from this Paper}
         \centering
-        \includegraphics[width=\linewidth]{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]{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]{img/results/result.png}
-        \caption{Optimized image}\label{fig:results-optimized}
-    \end{figure}
-    \end{minipage}
-\end{center}
+  \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}
 
 \begin{frame}
@@ -231,66 +250,47 @@
     \end{figure}
 \end{frame}
 
-\begin{frame}{Inverse Rendering~-~Example from this Paper}
-    \centering
-    \begin{minipage}{0.19\linewidth}
-        \begin{figure}
-            \centering
-            \includegraphics[width=\linewidth]{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]{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]{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]{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]{img/teapot_video/teapot_final.png}
-            \vspace{0mm}
-            \caption{final image}\label{fig:teapot_final}
-        \end{figure}
-    \end{minipage}
+\begin{frame}{Inverse Rendering~-~Results in this Paper}
+    \begin{block}{Inverse rendering here}
+        \begin{itemize}
+            \item Parameters: Camera pose, material parameters, light source intensity
+            \item Scene: Strong indirect illumination and non lambertian materials
+            \item Initial guess: Almost all objects white, arbitrary camera pose
+            \item 177 parameters
+            \item Loss function: Absolute difference
+            \item ADAM optimizer
+            \item Start resolution of $64\times 64$, linearly increase to $512\times 512$ in 8 steps\\
+            $\implies$ Avoid local minima of the loss function
+        \end{itemize}
+    \end{block}
 \end{frame}
 
-\begin{frame}{Inverse Rendering~-~Example from this Paper}
+\begin{frame}{Inverse Rendering~-~Results in this Paper}
+\begin{center}
+    \begin{minipage}{0.25\linewidth}
+    \begin{figure}
         \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}
+        \includegraphics[width=\linewidth]{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]{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]{img/results/result.png}
+        \caption{Optimized image}\label{fig:results-optimized}
+    \end{figure}
+    \end{minipage}
+\end{center}
 \end{frame}
 
 \subsection{Conclusion~-~What can this Method do?}
diff --git a/presentation/notes.md b/presentation/notes.md
index 9889801..722b254 100644
--- a/presentation/notes.md
+++ b/presentation/notes.md
@@ -49,6 +49,10 @@
 - Specular => angle of incidence = angle of light reflected
 - only lambertian materials
 
+## Edge Sampling - Math Background
+
+- Heaviside step functions in $f_i(x,y)$
+
 ## Inverse Rendering - Results in this paper
 
 - ADAM: talk by Mr. Wu
\ No newline at end of file