From 61fd5bb61d7c7a8e5692df07daf10e454d6e3ef6 Mon Sep 17 00:00:00 2001 From: bobarna <barnabas.borcsok@gmail.com> Date: Sun, 30 Jan 2022 17:11:06 +0100 Subject: [PATCH] Almost finish the presentation + add images --- img/ahsoka-smoke.png | Bin 0 -> 1165849 bytes img/ray-marching.pdf | Bin 0 -> 4040 bytes img/ray-marching.pdf_tex | 65 ++++ img/ray-marching.svg | 573 ++++++++++++++++++++++++++++++ img/tracking.pdf | Bin 0 -> 9580 bytes img/tracking.pdf_tex | 78 ++++ img/tracking.svg | 748 +++++++++++++++++++++++++++++++++++++++ main.tex | 39 +- 8 files changed, 1491 insertions(+), 12 deletions(-) create mode 100644 img/ahsoka-smoke.png create mode 100644 img/ray-marching.pdf create mode 100644 img/ray-marching.pdf_tex create mode 100644 img/ray-marching.svg create mode 100644 img/tracking.pdf create mode 100644 img/tracking.pdf_tex create mode 100644 img/tracking.svg diff --git a/img/ahsoka-smoke.png b/img/ahsoka-smoke.png new file mode 100644 index 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-59,6 +59,8 @@ \import{./img/}{#1.pdf_tex} } +\usepackage{bm} + % presentation metadata \title{Rendering Participating Media} \subtitle{Data Visualization Seminar} @@ -116,6 +118,15 @@ \end{figure} \end{frame} + +\begin{frame}{Motivation} + \begin{figure} + \centering + \includegraphics[width=\textwidth]{img/ahsoka-smoke.png} + \label{fig:teaser} + \end{figure} +\end{frame} + \begin{frame}{Propagation of light in a medium} \begin{figure}[ht] \centering @@ -218,7 +229,7 @@ $$\sigma_a(\boldsymbol{x})L_e(\bx, \bomega)$$ \item Loses $\sigma_a L(x, \omega)$ due to absorption \item Loses $\sigma_s L(x, \omega)$ due to out-scattering \item Gains $\sigma_s L_i(x, \omega)$ due to in-scattering - \item Gains $\sigma_a L(x, \omega)$ due to emission + \item Gains $\sigma_a L_e(x, \omega)$ due to emission \end{itemize} \end{frame} @@ -389,22 +400,26 @@ $$ T(t) = e^{-\tau(t)} = e^{-\int_0^t \sigma_t(\bx-s\bomega)ds} $$ \end{itemize} \end{frame} -\begin{frame}{Ray Marching} -\begin{columns} - \column{.49\textwidth} - $\int_0^t \sigma_t(\bx-s\bomega)ds = \tau(t)$\\ - \textit{"optical thickness" $\tau$} - \column{.49\textwidth} - $T(\bx, \by) = e^{-\tau(t)}$ -\end{columns} +\begin{frame}{In homogeneous volumes} + $$T(t) = e^{-\int_0^t \sigma_t(\bx-s\bomega)ds} = e^{-\int_0^t \sigma_t ds} + = e^{-\sigma_t t}$$ \end{frame} -\begin{frame}{Delta Tracking} +\begin{frame}{Regular Tracking}{In homogeneous volumes} +\begin{figure}[ht] + \centering + \def\svgwidth{\columnwidth} + \import{./img/}{tracking.pdf_tex} +\end{figure} \end{frame} - -\begin{frame}{Transmittance Estimation} +\begin{frame}{Transmittance Estimation}{Ray Marching} +\begin{figure}[ht] + \centering + \def\svgwidth{0.6\columnwidth} + \import{./img/}{ray-marching.pdf_tex} +\end{figure} \end{frame} \begin{frame}{Acceleration Data Structures} -- GitLab