Toutes les images qu'on montrera aujourd'hui !
This commit is contained in:
Georges Dupéron
parent
753acab271
commit
8c430d59d3
178
présentation.tex
178
présentation.tex
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@ -15,7 +15,7 @@
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% https://launchpad.net/ubuntu/precise/i386/pgf/2.10-1
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% http://launchpadlibrarian.net/70800349/pgf_2.10-1_all.deb
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\usepackage{tikz}
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\usetikzlibrary{positioning,calc,chains}
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\usetikzlibrary{positioning,calc,chains,intersections}
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\usetheme{Frankfurt}
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\usepackage{graphicx}
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@ -274,7 +274,7 @@
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% Génération du perlin 2D
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\xdef\twodperlinsize{8}
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\xdef\twodperlinsize{64}%128
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\xdef\maxvtwodperlin{0}
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\xdef\minvtwodperlin{0}
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\def\maxradius{32}
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@ -292,11 +292,11 @@
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}
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% Génération du craters
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\xdef\craterssize{4}
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\xdef\craterssize{64}%128
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\xdef\maxvcraters{0}
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\xdef\minvcraters{0}
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\def\maxradius{32}
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\def\ncircles{10}
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\def\ncircles{100}
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\foreach \y in {1,2,...,\craterssize}{
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\foreach \x in {1,2,...,\craterssize}{
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\setcache{vcraters,\x,\y}{0}
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@ -484,16 +484,16 @@
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% TODO : couleur de la map sur la ligne.
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\draw[->,gray] (\xalign+150,0) -- (\xalign+150+140,0);
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\only<2>{
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\draw[red,samples at={0,3,...,60}, smooth, mark=*, mark indices={0,20}, mark size=72] plot ({\xalign+xpointoncircle(\x,\circler,\maxdiam)},{ypointoncircle(\x,\circler,\maxdiam)});
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\draw[red,samples at={0,3,...,60}, smooth, mark=*, mark indices={0,20}, mark size=72] plot ({\xalign+150+\x/360*70},{perlin2DCosine(xpointoncircle(\x,\circler,\maxdiam),ypointoncircle(\x,\circler,\maxdiam),16,3,0.5,35)});
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\draw[red,samples at={0,5,...,60}, smooth, mark=*, mark indices={1,12}, mark size=72] plot ({\xalign+xpointoncircle(\x,\circler,\maxdiam)},{ypointoncircle(\x,\circler,\maxdiam)});
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\draw[red,samples at={0,5,...,60}, smooth, mark=*, mark indices={1,12}, mark size=72] plot ({\xalign+150+\x/360*70},{perlin2DCosine(xpointoncircle(\x,\circler,\maxdiam),ypointoncircle(\x,\circler,\maxdiam),16,3,0.5,35)});
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}
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\only<3>{
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\draw[red,samples at={0,3,...,360}, smooth, mark=*, mark indices={0,20,40}, mark size=72] plot ({\xalign+xpointoncircle(\x,\circler,\maxdiam)},{ypointoncircle(\x,\circler,\maxdiam)});
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\draw[red,samples at={0,3,...,360}, smooth, mark=*, mark indices={0,20,40}, mark size=72] plot ({\xalign+150+\x/360*70},{perlin2DCosine(xpointoncircle(\x,\circler,\maxdiam),ypointoncircle(\x,\circler,\maxdiam),16,3,0.5,35)});
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\draw[red,samples at={0,5,...,360}, smooth, mark=*, mark indices={1,12,24}, mark size=72] plot ({\xalign+xpointoncircle(\x,\circler,\maxdiam)},{ypointoncircle(\x,\circler,\maxdiam)});
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\draw[red,samples at={0,5,...,360}, smooth, mark=*, mark indices={1,12,24}, mark size=72] plot ({\xalign+150+\x/360*70},{perlin2DCosine(xpointoncircle(\x,\circler,\maxdiam),ypointoncircle(\x,\circler,\maxdiam),16,3,0.5,35)});
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}
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\only<4>{
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\draw[red,samples at={0,3,...,360}, smooth, mark=*, mark indices={0,20,40}, mark size=72] plot ({\xalign+xpointoncircle(\x,\circler,\maxdiam)},{ypointoncircle(\x,\circler,\maxdiam)});
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\draw[red,samples at={0,3,...,360}, smooth, mark=*, mark indices={0,20,40,140,160}, mark size=72] plot ({\xalign+150+\x/360*70},{perlin2DCosine(xpointoncircle(\x,\circler,\maxdiam),ypointoncircle(\x,\circler,\maxdiam),16,3,0.5,35)});
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\draw[red,samples at={0,5,...,360}, smooth, mark=*, mark indices={1,12,24}, mark size=72] plot ({\xalign+xpointoncircle(\x,\circler,\maxdiam)},{ypointoncircle(\x,\circler,\maxdiam)});
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\draw[red,samples at={0,5,...,720}, smooth, mark=*, mark indices={1,12,24,72,84,96}, mark size=72] plot ({\xalign+150+\x/360*70},{perlin2DCosine(xpointoncircle(\x,\circler,\maxdiam),ypointoncircle(\x,\circler,\maxdiam),16,3,0.5,35)});
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}
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}
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\end{tikzpicture}
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@ -622,7 +622,7 @@
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\begin{itemize}
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\item<1-> Pathfinding {\tiny\url{http://www.umbrarumregnum.net/articles/creating-rivers}}
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% TODO : Image (ne sera pas fait, manque de temps).
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\item<2-4> Affinage du tracé en fonction du LOD.
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\item<2-> Affinage du tracé en fonction du LOD.
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% TODO : Schéma sur 3 niveaux d'affinage en 3 étapes.
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\item<5-> Tracé arbitraire.
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\item<6-> Intégration dans le terrain.
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@ -661,13 +661,55 @@
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\begin{frame}
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\frametitle{Ray casting}
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\begin{figure}[h]
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\centering
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\begin{tikzpicture}[scale=0.5]
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\node[circle,fill=black,inner sep=2pt] (eye) at (0,0) {};
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\node[coordinate] (a) at (4,-3) {};
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\node[coordinate] (b) at (5,-1) {};
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\node[coordinate] (c) at (6,-2) {};
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\node[coordinate] (d) at (7,1) {};
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\node[coordinate] (e) at (8,-3) {};
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\draw (2,3) -- (2,-3);
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\draw (a) -- (b) -- (c) -- (d) -- (e);
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\only<2>{ \draw[dashed] (eye) -- (e); }
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\only<2->{
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\path[name path=eyee] (eye) -- (e); \path[name path=verte] (2.5,3) -- (2.5,-3);
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\draw[red!50,thick,name intersections={of=eyee and verte}] (intersection-1) -- (2.5,-3);
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}
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\only<3>{ \draw[dashed] (eye) -- (d); }
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\only<3->{
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\path[name path=eyed] (eye) -- (d); \path[name path=vertd] (2.4,3) -- (2.4,-3);
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\draw[red!50,thick,name intersections={of=eyed and vertd}] (intersection-1) -- (2.4,-3);
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}
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\only<4>{ \draw[dashed] (eye) -- (c); }
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\only<4->{
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\path[name path=eyed] (eye) -- (c); \path[name path=vertd] (2.3,3) -- (2.3,-3);
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\draw[red!50,thick,name intersections={of=eyed and vertd}] (intersection-1) -- (2.3,-3);
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}
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\only<5>{ \draw[dashed] (eye) -- (b); }
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\only<5->{
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\path[name path=eyed] (eye) -- (b); \path[name path=vertd] (2.2,3) -- (2.2,-3);
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\draw[red!50,thick,name intersections={of=eyed and vertd}] (intersection-1) -- (2.2,-3);
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}
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\only<6>{ \draw[dashed] (eye) -- (a); }
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\only<6->{
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\path[name path=eyed] (eye) -- (a); \path[name path=vertd] (2.1,3) -- (2.1,-3);
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\draw[red!50,thick,name intersections={of=eyed and vertd}] (intersection-1) -- (2.1,-3);
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}
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\end{tikzpicture}
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\end{figure}
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\begin{itemize}
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\item Très simple, très petit code.
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% TODO : Schéma d'explication
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\item Sampling
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\item Très lent
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\item Démonstration
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\item Monte Carlo
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\item<1-> Très simple, très petit code.
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\item<5-> Sampling
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\item<6-> Très lent
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\item<7-> Démonstration
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\item<8-> Monte Carlo
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\end{itemize}
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\end{frame}
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@ -676,24 +718,48 @@
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\subsection{ROAM}
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\begin{frame}
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\frametitle{ROAM}
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\begin{figure}[h]
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\centering
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\begin{tikzpicture}[scale=0.2]
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\path (-4,0) -- (16,8);
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\only<2-5> { \fill[red!20] (0,0) -- (-4,0) -- (-4,4) -- cycle; }
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\only<7> { \fill[red!20] (0,0) -- (-4,0) -- (-4,4) -- (0,4) -- cycle; }
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\only<1->{
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\draw (0,0) -- (16,0) -- (8,8) -- cycle;
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\draw (8,0) -- (8,8);
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}
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\only<2-> {
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\draw (0,0) -- (0,8) -- (8,8);
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\draw (0,0) -- (-4,4) -- (0,8);
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\draw (0,0) -- (-4,0) -- (-4,4);
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}
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\only<3-5> { \draw[dashed] (-4,0) -- (0,4); }
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\only<4-5> { \draw[dashed] (-4,4) -- (4,4); }
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\only<5-5> { \draw[dashed] (0,8) -- (8,0); }
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\only<6-7> {
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\draw (-4,0) -- (0,4);
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\draw (-4,4) -- (4,4);
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\draw (0,8) -- (8,0);
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}
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\end{tikzpicture}
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\end{figure}
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\begin{itemize}
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\item Triangle bintree.
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% TODO : Figure : triangle avec 2 fils.
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\item Split et merge. CLOD.
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% TODO : Figure : split forcé, merge d'un losange.
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\item Défaut maximal visible à l'écran.
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\item<1-> Triangle bintree.
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\item<2-> Split et merge. CLOD.
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\item<8-> Défaut maximal visible à l'écran.
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% TODO : Figure : Dessin projection pavé triangle erreur à l'écran.
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\item Split queue et Merge queue.
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\item<9-> Split queue et Merge queue.
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% TODO : queues l'une au-dessus de l'autre, montrer qu'on va +- les priorités pour éviter le chevauchement.
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\item Frustum culling : utilisation de drapaux.
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\item Améliorations~:
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\item<10-> Frustum culling : utilisation de drapaux.
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\item<11-> Améliorations~:
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\begin{itemize}
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\item Triangle stripping.
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\item Geomorphing.
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\item Calcul différé des priorités dans les queues.
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\item Temps réel.
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\end{itemize}
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\item $O(\text{Nb triangles mis à jour})$
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\item<12-> $O(\text{Nb triangles mis à jour})$
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\end{itemize}
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\end{frame}
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@ -712,10 +778,66 @@
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\subsection{Notre algo}
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\begin{frame}
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\frametitle{Notre algorithme}
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\begin{figure}[h]
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\centering
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\begin{tikzpicture}[scale=0.2]
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\only<5->{
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\draw[red] (4,4) -- (0,0);
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\draw[red] (4,4) -- (8,0);
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\draw[red] (4,4) -- (8,8);
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\draw[red] (4,4) -- (4,8);
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\draw[red] (4,4) -- (2,8);
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\draw[red] (4,4) -- (0,8);
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}
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\only<1->{
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\node[circle,fill=black,inner sep=1pt] at (0,0) {};
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\node[circle,fill=black,inner sep=1pt] at (16,0) {};
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\node[circle,fill=black,inner sep=1pt] at (16,16) {};
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\node[circle,fill=black,inner sep=1pt] at (0,16) {};
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\node[circle,fill=black,inner sep=1pt] at (8,8) {};
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\draw (0,0) -- (16,0) -- (16,16) -- (0,16) -- cycle;
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}
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\only<2->{
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\node[circle,fill=black,inner sep=1pt] at (8,0) {};
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\node[circle,fill=black,inner sep=1pt] at (8,16) {};
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\node[circle,fill=black,inner sep=1pt] at (0,8) {};
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\node[circle,fill=black,inner sep=1pt] at (16,8) {};
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\node[circle,fill=black,inner sep=1pt] at (4,4) {};
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\node[circle,fill=black,inner sep=1pt] at (4,12) {};
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\node[circle,fill=black,inner sep=1pt] at (12,4) {};
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\node[circle,fill=black,inner sep=1pt] at (12,12) {};
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\draw (8,0) -- (8,16); \draw (0,8) -- (16,8);
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}
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\only<3->{
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\node[circle,fill=black,inner sep=1pt] at (0,12) {};
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\node[circle,fill=black,inner sep=1pt] at (8,12) {};
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\node[circle,fill=black,inner sep=1pt] at (4,8) {};
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\node[circle,fill=black,inner sep=1pt] at (4,16) {};
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\node[circle,fill=black,inner sep=1pt] at (2,10) {};
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\node[circle,fill=black,inner sep=1pt] at (2,14) {};
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\node[circle,fill=black,inner sep=1pt] at (6,10) {};
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\node[circle,fill=black,inner sep=1pt] at (6,14) {};
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\draw (0,12) -- (8,12); \draw (4,8) -- (4,16);
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}
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\only<4->{
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\node[circle,fill=black,inner sep=1pt] at (0,10) {};
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\node[circle,fill=black,inner sep=1pt] at (4,10) {};
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\node[circle,fill=black,inner sep=1pt] at (2,12) {};
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\node[circle,fill=black,inner sep=1pt] at (1,9) {};
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\node[circle,fill=black,inner sep=1pt] at (3,11) {};
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\node[circle,fill=black,inner sep=1pt] at (1,11) {};
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\node[circle,fill=black,inner sep=1pt] at (3,9) {};
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\draw (0,10) -- (4,10); \draw (2,8) -- (2,12);
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\node[circle,fill=red,inner sep=1pt] at (2,8) {};
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}
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\end{tikzpicture}
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\end{figure}
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\begin{itemize}
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\item Quadtree de carrés.
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% TODO : figure
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% TODO : figure trous dans le mesh
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\item Triangle fans.
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\item LOD en fonction de la distance.
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\item Mise à jour de quelques branches seulement.
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