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4
handout/diagrams/area_sampling.tex
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@ -21,7 +21,7 @@
% occlusion tri
\draw[
fill,
darkgray
red
] (3,2) -- (4.5,0.2) -- (6,3);
% samples
@ -33,5 +33,5 @@
5/0.5,
5/2.5
}
\node[fill = black] at (\x,\y) {};
\node[fill = yellow] at (\x,\y) {};
\end{tikzpicture}

20
handout/diagrams/diagramm_occlusion.tex
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@ -1,24 +1,24 @@
\begin{tikzpicture}[scale = 0.9, every node/.style={scale=0.9}]
\def\raynum{18}
\def\raynum{60}
\foreach \x in {0,...,\raynum} {
\ifthenelse{\x < 3 \OR \x>15}
\ifthenelse{\x < 10 \OR \x>50}
{
\draw[color = black] (\x /\raynum * 6 ,0) -- (3,4);
\draw[color = darkgray] (\x /\raynum * 6 ,0) -- (3,4);
}{
\draw[color = lightgray] (\x /\raynum * 6 ,0) -- (3,4);
\draw[color = red] (\x /\raynum * 6 ,0) -- (3,4);
}
}
\fill[
white
] (1.48,1) -- (4.52,1) -- (5.02,0) -- (0.98,0) -- cycle;
] (1.49,1) -- (4.51,1) -- (5.01,0) -- (0.99,0) -- cycle;
\draw [color=black] (0,0) -- node[below]{wall} (6,0) ; % wall
\draw [color=black](1.5,1) -- node[below]{blocker} (4.5,1); %blocker
\draw [color=darkgray] (0,0) -- node[below]{wall} (6,0) ; % wall
\draw [color=red](1.5,1) -- node[below]{blocker} (4.5,1); %blocker
%cam
\node[
@ -37,11 +37,11 @@
\fill[
gray
red
] (5,3) -- (6.7,3) -- (6.7,3.3) -- (5,3.3) -- cycle;
\draw[black] (8,2) coordinate (darkgray_ray_isec) -- (5,5) coordinate (orig);
\draw[gray] (6.4,3.3) coordinate (red_ray_isec) -- (5,5);
\draw[darkgray] (8,2) coordinate (darkgray_ray_isec) -- (5,5) coordinate (orig);
\draw[red] (6.4,3.3) coordinate (red_ray_isec) -- (5,5);
%line
\draw (mag.north east) -- (7,2);

8
handout/diagrams/edge_sampling.tex
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@ -22,7 +22,7 @@
% occlusion tri
\draw[
fill,
darkgray
red
] (3,2) -- (4.5,0.2) -- (6,3);
% samples
@ -33,10 +33,10 @@
3.5/2.5,
5.5/0.5
}
\node[fill = black] at (\x,\y) {};
\node[fill = yellow] at (\x,\y) {};
\node[
fill = black,
fill opacity = 0.5,
fill = yellow,
fill opacity = 0.4,
] at (4.5,1.5) {};
\end{tikzpicture}

8
handout/diagrams/geometry_term_diff.tex
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@ -5,8 +5,8 @@
\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=black];
\draw (1,1) -- (2,1) plot coordinates {(1,1) (2,1)}[color=black];
\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] {$\omega_0$};
@ -21,11 +21,11 @@
\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=black];
\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=black] {$\bullet$};
\draw (1,2) node[color=red] {$\bullet$};
\draw (1,-0.7) node[below] {$\omega_0$};
\end{tikzpicture}
}

6
handout/diagrams/halfspaces.tex
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@ -7,7 +7,7 @@
\draw[
fill,
gray
red
] (-2, -3) -- (-2,-4) -- (2,-6) -- (4.3,-6) -- (4.3,-4) -- cycle;
\draw[
@ -17,12 +17,12 @@
\draw[
fill,
darkgray
blue
] (1.7,-2) circle (15pt);
\draw[
fill,
darkgray
blue
] (0.4,-4.2) circle (15pt);
\node (fu) at (1.4,-1) {\LARGE $f_u$ $(+)$};

8
handout/handout.tex
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@ -1,3 +1,4 @@
%\newcommand{\CLASSINPUTtoptextmargin}{1.5cm}
\newcommand{\CLASSINPUTbottomtextmargin}{2.5cm}
\documentclass[conference, a4paper, hidelinks]{IEEEtran}
@ -36,7 +37,6 @@
\usepackage{amsfonts}
\usepackage{caption}
\DeclareCaptionType{eqcap}[Equation][List of equations]
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary{calc,
@ -143,13 +143,13 @@ Given this function and a set of target images the inverse rendering problem can
\begin{figure}[h]
\centering
\subfloat[initial guess]{
\includegraphics[width=0.3\linewidth]{../presentation/img/results/guess-bw.png}
\includegraphics[width=0.3\linewidth]{../presentation/img/results/guess.png}
}
\subfloat[optimized result]{
\includegraphics[width=0.3\linewidth]{../presentation/img/results/result-bw.png}\label{fig:result_image}
\includegraphics[width=0.3\linewidth]{../presentation/img/results/result.png}\label{fig:result_image}
}
\subfloat[target]{
\includegraphics[width=0.3\linewidth]{../presentation/img/results/photo-bw.png}
\includegraphics[width=0.3\linewidth]{../presentation/img/results/photo.png}
}
\caption{A generic example for how differentiable ray tracing can be used to approximate a solution for the inverse rendering problem.}\label{fig:inverse_rendering_example}
\end{figure}

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handout/handout_bw.pdf
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2
presentation/diagrams/raytracing_anim.tex
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@ -41,7 +41,7 @@
\begin{tikzpicture}
% scene seite
\node[above] at (2,2) {side view};
\node[below] at (2,-0.5) {\footnotesize (no indirect lighting)};
\node[below] at (2,-0.5) {(no indirect lighting)};
\draw[
kit-green100

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presentation/img/results/guess-bw.png
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presentation/img/results/photo-bw.png
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presentation/img/results/result-bw.png
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8
presentation/modules/basic_terms.tex
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@ -68,10 +68,10 @@
\input{diagrams/raytracing_anim}
\end{frame}
%\begin{frame}{Image synthesis~-~Optical Phenomena}
% \centering
% \includegraphics[width=0.38\linewidth]{proseminar_cycles_annotated.png}
%\end{frame}
\begin{frame}{Image synthesis~-~Optical Phenomena}
\centering
\includegraphics[width=0.38\linewidth]{proseminar_cycles_annotated.png}
\end{frame}
\subsection{Differentiable Rendering}
\begin{frame}{Differentiable Rendering}

1
presentation/modules/motivation.tex
View file

@ -65,7 +65,6 @@ 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}

196
presentation/modules/this_method.tex
View file

@ -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 @@
\[
\sum_i\iint
\underbrace{\theta(}_{\text{Step function}}
\underbrace{\alpha_i(x,y)}_{\text{Edge equation}})
\underbrace{f_i(x,y)}_{\text{Half space}}
\underbrace{\alpha_i(x,y)}_{\text{Edge equation formed by the triangle edge}})
\underbrace{f_i(x,y)}_{\text{Half space (may contain Heaviside step functions itself)}}
\]
}
@ -87,66 +87,47 @@
\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}
\begin{frame}
@ -250,47 +231,66 @@
\end{figure}
\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}
\subsection{Conclusion~-~What can this Method do?}

58
presentation/notes.md
View file

@ -1,58 +0,0 @@
# Notes diffable Monte carlo RT
## Raytracing formula
- geometry term discussed later
- Emission + All light reflected towards point
- Yields infinite recursion -> not calculable
## Visualization
- Explain image
- No indirect lighting!
- Output image is what we would expect (explain shade)
## Differentiable rendering
- That function is dependent on renderer
- Renderer needs to be differentiable
## Importance
- Inversely render complex indoor scenes
- "Fool" neural network
- Real time realistic shading in AR
- Application in maritime research
## Adversarial image generation
- Example for classification on slide 2!
- Fool neural netweork into wrongly classifying input data
- Optimize Image into wrong class
## Why differentiable rendering is hard
- Example later
- geometry term explanation later
## Former methods visualization
- Plane lit by a point light source.
- gradient with respect to the plane moving right
- light source remains static => the gradient should only be $\ne 0$ at the boundaries
- OpenDR and Neural not able to correctly calculate the gradients
- they are based on color buffer differences
## Edge sampling
- Approximate point lights using small area lights
- 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

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presentation/notes.pdf
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4
presentation/presentation.tex
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@ -16,7 +16,7 @@
\titleimage{logo_rt.pdf}
\newcommand{\presentationdate}{July 26 2023}
\newcommand{\presentationdate}{\emph{set date here}}
%% Gruppenlogo
\grouplogo{}
@ -27,7 +27,7 @@
% Beginn der Präsentation
\title[Differentiable Monte Carlo Ray Tracing through Edge Sampling]{Differentiable Monte Carlo Ray Tracing through Edge Sampling [\cite{ACM:diffable_raytracing}]}
\title[Differentiable Monte Carlo Ray Tracing through Edge Sampling]{Differentiable Monte Carlo Ray Tracing through Edge Sampling}
\subtitle{Presentation for the Proseminar ``Differentiable Programming``}
\author[Clemens Dautermann]{Clemens Dautermann}