Update on Overleaf.

presentation/modules/basic_terms.tex

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+\section{Basic terms}
+\begin{frame}
+    \centering
+    \Huge
+    Basic terms
+\end{frame}
+\subsection{Raytracing}
+\begin{frame}{Raytracing}
+    \begin{center}
+        \begin{minipage}{0.4\linewidth}
+            \flushleft Turn 3D model...
+            \includegraphics[width=\linewidth]{presentation/img/proseminar_workbench.png}
+        \end{minipage}
+        \pause
+        $\rightarrow$
+        \hspace{10mm}
+        \begin{minipage}{0.4\linewidth}
+            \flushright ...into a physically accurate image
+            \includegraphics[width=0.8\linewidth]{presentation/img/proseminar_cycles.png}
+        \end{minipage}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Raytracing}
+    \begin{block}{Task}
+        \begin{itemize}
+            \item Determine the color of each Pixel in the scene
+            \item Color (light intensity) is given by the rendering integral:\\
+            \[
+                \underbrace{I(x,x^{\prime})}_{\text{Light transport intensity from }x \text{ to } x^{\prime}}=
+                \underbrace{g(x,x')}_{\text{geometry term}}
+                \left[
+                \underbrace{\epsilon(x,x')}_{\text{emissive light}}+\underbrace{\int_S \rho(x,x',x'')I(x',x'')dx''}_{\text{light scattered towards the point}}
+                \right]
+            \]
+            \begin{itemize}
+                \item Attempts to capture the physical light transport phenomenon in a single equation
+            \end{itemize}
+            [\cite{ACM:rendering_equation}]
+            \item Problem: This equation is not analytically solvable\\
+            $\rightarrow$ Solve numerically using Monte-Carlo integration (i.e. raytracing)
+        \end{itemize}
+    \end{block}
+\end{frame}
+
+\begin{frame}{Raytracing}
+    \setbeamercovered{transparent}
+    \begin{block}{Principle (simplified)}
+        \begin{itemize}
+            \item Cast rays from the camera towards the scene
+            \item Calculate geometry intersection
+            \item Trace rays from intersection point to all light sources
+            \item Calculate color from emission and the sampled reflected light taking geometry into account  (e.g. occlusion)
+            \item Have the ray "bounce around" to account for global illumination
+        \end{itemize}
+    \end{block}
+    \pause
+    \begin{block}{Variables}
+    Scene depends on lots of variables:
+        \begin{itemize}
+            \item Material properties (roughness, emission strength, color, transmissiveness...)
+            \item Vertex positions
+        \end{itemize}
+    \end{block}
+\end{frame}
+\begin{frame}{Image synthesis - optical phenomena}
+    \centering
+    \includegraphics[width=0.38\linewidth]{presentation/img/proseminar_cycles_annotated.png}
+\end{frame}
+
+\subsection{Differentiable rendering}
+\begin{frame}{Differentiable rendering}
+    \begin{itemize}
+        \item Given: Function mapping an 3D-scene to a real number (e.g. error function)
+        \item Target: Calculate gradient of that function
+        \item Required: Differentiate with respect to any scene parameter
+    \end{itemize}
+\end{frame}