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Georges Dupéron
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présentation.tex
128
présentation.tex
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@ -1,10 +1,12 @@
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\documentclass[hyperref={pdfpagelabels=false}]{beamer}
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% ATTENTION : modifier /usr/share/texmf/web2c/texmf.cnf : chercher la ligne qui commence par main_memory (sans %) et mettre la valeur 30000000
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% hyperref and lmodern : http://texblog.net/latex-archive/presentations/beamer-warnings/
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\usepackage{lmodern}
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\usepackage[utf8]{inputenc}
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\DeclareUnicodeCharacter{B0}{\textdegree}% °
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\DeclareUnicodeCharacter{2264}{\leq}% ≤
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\DeclareUnicodeCharacter{2265}{\geq}% ≥
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\renewcommand\mathfamilydefault{\rmdefault}
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% \usepackage[utf8]{inputenc}
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% \DeclareUnicodeCharacter{B0}{\textdegree}% °
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% \DeclareUnicodeCharacter{2264}{\leq}% ≤
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% \DeclareUnicodeCharacter{2265}{\geq}% ≥
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\usepackage[T1]{fontenc}
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\usepackage[frenchb]{babel}
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\usepackage{hyperref}
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@ -16,7 +18,7 @@
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\usetheme{Frankfurt}
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\usepackage{graphicx}
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\title{FMIN313 Moteurs de jeux\\ Génération de terrains}
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% \title{FMIN313 Moteurs de jeux\\ Génération de terrains}
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\author{DUPÉRON Georges \and\texorpdfstring{\\}{} BONAVERO Yoann}
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\institute{Université Montpellier II,\\Département informatique\\Master 2 IFPRU\\Encadrants~: F. Koriche et M. Moulis}
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\date{Lundi 14 novembre 2011}
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@ -91,12 +93,13 @@
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perlin1DCosine(\x,\periode,\octaves,\persistance,\amplitude)=perlin1DCosine_(\x,0,\periode,\octaves,\persistance,\amplitude);
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% Using cubic interpolation
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octave1DCubic(\x,\octave,\periode,\amplitude)=\amplitude*cubicInterpolation(sampleDelta(\x,\periode), sampleLeftLeft(\x,\periode,\octave), sampleLeft(\x,\periode,\octave), sampleRight(\x,\periode,\octave), sampleRightRight(\x,\periode,\octave));
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% Craters
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sqdistance_(\dx,\dy)=\dx*\dx+\dy*\dy;
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sqdistance(\x,\y,\cx,\cy)=sqdistance_(\x-\cx,\y-\cy);
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}
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}
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\shorthandon{;?:}
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\def\foo#1{#1}
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\subsection{Perlin noise}
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\begin{frame}
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\frametitle{Perlin noise}
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@ -179,7 +182,7 @@
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\path (0,-5*0.09) -- (0,40*0.09); % This and the 17.5*0.09 below are for vertical alignment with the other figure.
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\node[draw] (hash1) at (0,17.5*0.09) {hash};
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\node[draw,above left=of hash1, draw=blue!50] (x) {$x$};
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\node[draw,below left=of hash1] (noctave) {n° octave};
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\node[draw,below left=of hash1] (noctave) {n\textdegree octave};
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\draw[->] (x) -- (hash1);
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\draw[->] (noctave) -- (hash1);
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\node[draw, right=of hash1] (hash2) {hash};
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@ -203,7 +206,7 @@
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\begin{frame}
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\frametitle{Perlin noise (Variations)}
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\begin{itemize}
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\item Cevernes, nuages, textures, terrains : bruit $n$D et voxels.
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\item Cavernes, nuages, textures, terrains : bruit $n$D et voxels.
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\item Ridged Perlin Noise.
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\item Midpoint displacement.
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\item Simplex noise : généralisation des triangles équilatéraux à $n$ dimensions, interpolation par rapport aux coins. $d^2$ au lieu de $2^d$.
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@ -212,23 +215,97 @@
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\end{itemize}
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\end{frame}
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\makeatletter
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\def\getcache#1{\csname cache,#1\endcsname}
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\def\setcache#1#2{\expandafter\xdef\csname cache,#1\endcsname{#2}}
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\def\clearcache#1{\expandafter\global\expandafter\let\csname cache,#1\endcsname\@undefined}
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\def\setintmacro#1#2{\pgfmathparse{int(#2)}\edef#1{\pgfmathresult}}
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\makeatother
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\subsection{Craters et Hills Algorithm}
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\begin{frame}
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\frametitle{Craters et Hills Algorithm}
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\begin{itemize}
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\item Craters
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\item<1-> Craters
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\begin{itemize}
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\item Soustraire des cercles au terrain (z = z - f(distance au centre))
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\item Sur un terrain nu
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% TODO : image
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\item Sur un terrain existant
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% TODO : image
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\item<1-> Soustraire des cercles au terrain ({\small $z = z - f(\text{distance au centre})$})
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\item<2-> Sur un terrain nu
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\only<2>{
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\begin{figure}[h]
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\centering
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\begin{tikzpicture}[scale=0.025]
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\def\craterssize{128}
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\xdef\maxv{0}
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\def\maxradius{32}
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\def\ncircles{50}
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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{v,\x,\y}{0}
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}
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}
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\foreach \c in {1,...,\ncircles}{
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\setintmacro{\circlex}{noise1D(\c,0)*\craterssize}
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\setintmacro{\circley}{noise1D(\c,1)*\craterssize}
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\setintmacro{\circler}{noise1D(\c,2)*\maxradius}
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\message{Circle number \c/\ncircles, center (\circlex, \circley), radius \circler}
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\foreach \dy in {-\circler,...,\circler}{
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\setintmacro{\y}{\circley+\dy}
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\pgfmathparse{(\y > 0) && (\y <= \craterssize)}
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\ifnum 1=\pgfmathresult
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\foreach \dx in {-\circler,...,\circler}{
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\setintmacro{\x}{\circlex+\dx}
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\pgfmathparse{(\x > 0) && (\x <= \craterssize)}
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\ifnum 1=\pgfmathresult
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\xdef\oldv{\getcache{v,\x,\y}}
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\pgfmathparse{\oldv+max(0,\circler*\circler - (\dx*\dx + \dy*\dy))}
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\setcache{v,\x,\y}{\pgfmathresult}
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\pgfmathparse{max(\maxv,\pgfmathresult)}
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\xdef\maxv{\pgfmathresult}
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\fi
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}
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\fi
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}
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}
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\foreach \y in {1,2,...,\craterssize}{
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\message{Gradient line \y/\craterssize...}
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\foreach \x in {1,2,...,\craterssize}{
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\pgfmathsetmacro{\v}{\getcache{v,\x,\y}/\maxv}
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\definecolor{gradientpoint0}{rgb}{0,0,0.5}
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\definecolor{gradientpoint1}{rgb}{0.2,0.2,1}
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\definecolor{gradientpoint2}{rgb}{0.9,0.6,0.1}
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\definecolor{gradientpoint3}{rgb}{0.1,0.6,0.2}
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\definecolor{gradientpoint4}{rgb}{0.6,0.3,0.05}
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\definecolor{gradientpoint5}{rgb}{1,1,1}
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\def\positions{{0,0.3,0.4,0.88,0.94,1}}
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\foreach \pointb in {1,...,5}{
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\pgfmathsetmacro{\posb}{\positions[\pointb]}
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\pgfmathparse{\v < \posb}
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\ifnum 1=\pgfmathresult
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\setintmacro{\pointa}{\pointb-1}
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\pgfmathsetmacro{\posa}{\positions[\pointa]}
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\pgfmathsetmacro{\mix}{100 - 100 * (\v-\posa) / (\posb-\posa)}
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\xdef\colora{gradientpoint\pointa}
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\xdef\colorb{gradientpoint\pointb}
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\xdef\mix{\mix}
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\breakforeach
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\fi
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}
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\path[fill=\colora!\mix!\colorb] (\x,\y) rectangle ++(1.2,1.2);
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\clearcache{v,\x,\y}
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}
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}
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\end{tikzpicture}
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\end{figure}
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}
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\item<3-> Sur un terrain existant
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\only<3>{
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% TODO
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}
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\end{itemize}
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\item Hills Algorithm
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\item<4-> Hills Algorithm
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\begin{itemize}
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\item Inverse de craters : on ajoute plein de cercles
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\end{itemize}
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\item Stockage des cercles dans un arbre (BSP, Quadtree, arbre du LOD, \dots{}).
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\item<5-> Stockage des cercles dans un arbre (BSP, Quadtree, arbre du LOD, \dots{}).
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\end{itemize}
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\end{frame}
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@ -266,7 +343,13 @@
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\item {\tiny\url{http://www.gamedev.net/blog/33/entry-2249260-procedural-islands-redux/}}
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\end{itemize}
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\item Cartes polygonales. {\tiny\url{http://www-cs-students.stanford.edu/~amitp/game-programming/polygon-map-generation/}}
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% TODO : voronoi etc.
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% TODO : images
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% - découpage du plan en polygones
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% - positionnement de la mer et des lacs
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% - hauteur fonction de la distance à la mer.
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% - tracé de rivières en descendant le long des segments des polygones.
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% - climats et biotopes en fonction de l'élévation et de la distance à l'humidité.
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% - bruitage supplémentaire.
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\item Intégration de formes dans le terrain.
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\end{itemize}
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\end{frame}
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@ -405,14 +488,15 @@
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% * [Plein d'algos](http://planetgenesis.sourceforge.net/docs15/noise/noise.html#tileworley) dont plusieurs basés sur une sorte de voronoi donc à priori trop lents.
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% * Affichage avec Ogre : [forum](http://www.ogre3d.org/forums/viewtopic.php?f=5&t=67177&p=442222), [doc](http://www.ogre3d.org/docs/api/html/classOgre_1_1BillboardSet.html)
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\begin{itemize}
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\item Perlin noise {\tiny \url{http://freespace.virgin.net/hugo.elias/models/m_perlin.htm}}
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\item http://www.gamasutra.com
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\item http://vterrain.org
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% \item Mojoworld generator (mojoworld.org)
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\item http://world-machine.com
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\item Algorithmes de bruit {\tiny http://www.sluniverse.com/php/vb/project-development/34994-automatically-generated-terrain-map.html}
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\item Composition d'algorithmes de bruit {\tiny http://www.gamedev.net/blog/33/entry-2249260-procedural-islands-redux/}
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\item Création de cartes polygonales {\tiny http://www-cs-students.stanford.edu/~amitp/game-programming/polygon-map-generation/}
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\item Pathfinding pour créer des rivières {\tiny http://www.umbrarumregnum.net/articles/creating-rivers}
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\item Algorithmes de bruit {\tiny \url{http://www.sluniverse.com/php/vb/project-development/34994-automatically-generated-terrain-map.html}}
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\item Composition d'algorithmes de bruit {\tiny \url{http://www.gamedev.net/blog/33/entry-2249260-procedural-islands-redux/}}
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\item Création de cartes polygonales {\tiny \url{http://www-cs-students.stanford.edu/~amitp/game-programming/polygon-map-generation/}}
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\item Pathfinding pour créer des rivières {\tiny \url{http://www.umbrarumregnum.net/articles/creating-rivers}}
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\end{itemize}
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\end{frame}
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