Chapitre 1 fini
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Images/Fractal_fire.jpg
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Images/Fractal_fire.jpg
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Images/Fractal_terrain_texture.jpg
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Images/Pink_red_liquid_using_perlin_noise_+_bump_+_coloring.png
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@ -33,53 +33,56 @@ Cela a pour effet que le gradient de la fonction de bruit résultante à chaque
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nœud de grille coïncide avec le vecteur de gradient aléatoire précalculé.
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\newline
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Voici le pseudo-code de l'implantation du bruit de Perlin à 2 dimensions:
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Voici une version C++ de l'implantation du bruit de Perlin à 2 dimensions:
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\begin{lstlisting}[caption=Implantation du bruit de Perlin en pseudo-code, label=code:perlin]
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// Function to linearly interpolate between a0 and a1
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// Weight w should be in the range [0.0, 1.0]
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function lerp(float a0, float a1, float w) {
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return (1.0 - w)*a0 + w*a1;
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}
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// Computes the dot product of the distance and gradient vectors.
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function dotGridGradient(int ix, int iy, float x, float y) {
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// Precomputed (or otherwise) gradient vectors at each grid node
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extern float Gradient[IYMAX][IXMAX][2];
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// Compute the distance vector
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float dx = x - (float)ix;
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float dy = y - (float)iy;
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// Compute the dot-product
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return (dx*Gradient[iy][ix][0] + dy*Gradient[iy][ix][1]);
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}
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// Compute Perlin noise at coordinates x, y
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function perlin(float x, float y) {
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// Determine grid cell coordinates
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int x0 = floor(x);
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int x1 = x0 + 1;
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int y0 = floor(y);
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int y1 = y0 + 1;
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// Determine interpolation weights
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// Could also use higher order polynomial/s-curve here
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float sx = x - (float)x0;
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float sy = y - (float)y0;
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// Interpolate between grid point gradients
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float n0, n1, ix0, ix1, value;
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n0 = dotGridGradient(x0, y0, x, y);
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n1 = dotGridGradient(x1, y0, x, y);
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ix0 = lerp(n0, n1, sx);
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n0 = dotGridGradient(x0, y1, x, y);
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n1 = dotGridGradient(x1, y1, x, y);
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ix1 = lerp(n0, n1, sx);
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value = lerp(ix0, ix1, sy);
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return value;
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}
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\begin{lstlisting}[caption=Implantation du bruit de Perlin en C++, label=code:perlin]
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// Function to linearly interpolate between a0 and a1
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// Weight w should be in the range [0.0, 1.0]
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float lerp(float a0, float a1, float w) {
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return (1.0 - w)*a0 + w*a1;
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// as an alternative, this slightly faster equivalent formula can be used:
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// return a0 + w*(a1 - a0);
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}
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// Computes the dot product of the distance and gradient vectors.
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float dotGridGradient(int ix, int iy, float x, float y) {
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// Precomputed (or otherwise) gradient vectors at each grid node
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extern float Gradient[IYMAX][IXMAX][2];
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// Compute the distance vector
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float dx = x - (float)ix;
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float dy = y - (float)iy;
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// Compute the dot-product
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return (dx*Gradient[iy][ix][0] + dy*Gradient[iy][ix][1]);
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}
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// Compute Perlin noise at coordinates x, y
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float perlin(float x, float y) {
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// Determine grid cell coordinates
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int x0 = int(x);
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int x1 = x0 + 1;
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int y0 = int(y);
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int y1 = y0 + 1;
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// Determine interpolation weights
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// Could also use higher order polynomial/s-curve here
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float sx = x - (float)x0;
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float sy = y - (float)y0;
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// Interpolate between grid point gradients
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float n0, n1, ix0, ix1, value;
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n0 = dotGridGradient(x0, y0, x, y);
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n1 = dotGridGradient(x1, y0, x, y);
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ix0 = lerp(n0, n1, sx);
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n0 = dotGridGradient(x0, y1, x, y);
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n1 = dotGridGradient(x1, y1, x, y);
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ix1 = lerp(n0, n1, sx);
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value = lerp(ix0, ix1, sy);
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return value;
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}
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\end{lstlisting}
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@ -0,0 +1,23 @@
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Due à sa grande flexibilité, ce générateur de bruit peut être utilisé pour
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créer plusieurs types d'éléments comme les nuages, le feu, la fumée…
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Voici Quelques exemples d'images produites depuis cette méthode:
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\begin{figure}
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\centering
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\includegraphics[width=0.9\linewidth]{Images/Fractal_fire.jpg}
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\caption{Feu généré à partir du bruit de Perlin}
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\label{img:feu-perlin}
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\end{figure}
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\begin{figure}
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\centering
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\includegraphics[width=0.9\linewidth]{Images/Fractal_terrain_texture.jpg}
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\caption{Terrain généré à partir du bruit de Perlin}
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\label{img:terrain-perlin}
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\end{figure}
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\begin{figure}
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\centering
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\includegraphics[width=0.9\linewidth]{Images/Pink_red_liquid_using_perlin_noise_+_bump_+_coloring.png}
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\caption{Surface organique générée à partir du bruit de Perlin et travaillée avec application texture et lumière}
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\label{img:organique-perlin}
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\end{figure}
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rapport.pdf
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rapport.pdf
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15
rapport.tex
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rapport.tex
@ -13,10 +13,10 @@
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\newcommand{\guillemets}[1]{\og #1\fg{}} % [1]: nbr arg
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\lstset{
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language=C, % Code langugage
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language=C++, % Code langugage
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basicstyle=\ttfamily, % Code font, Examples: \footnotesize, \ttfamily
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% keywordstyle=\color{OliveGreen}, % Keywords font ('*' = uppercase)
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% commentstyle=\color{gray}, % Comments font
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% keywordstyle=\color{OliveGreen}, % Keywords font ('*' = uppercase)
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% commentstyle=\color{gray}, % Comments font
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% numbers=left, % Line nums position
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% numberstyle=\tiny, % Line-numbers fonts
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% stepnumber=1, % Step between two line-numbers
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@ -45,6 +45,7 @@ Université d'Aix-Marseille}
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\newpage
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\tableofcontents
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\input{Parties/résumé.tex}
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\newpage
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\section*{Introduction}
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\input{Parties/intro.tex}
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@ -55,8 +56,8 @@ Université d'Aix-Marseille}
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\input{Parties/chap1_1.tex}
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\subsection{Applications}
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\input{Parties/chap1_2.tex}
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\subsection{Limitations}
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\input{Parties/chap1_3.tex}
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% \subsection{Limitations}
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% \input{Parties/chap1_3.tex}
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\section{Bruit de Gabor}
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\input{Parties/chap2_intro.tex}
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@ -77,8 +78,8 @@ Université d'Aix-Marseille}
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\section{Conclusion}
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\input{Parties/conclusion.tex}
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\section{Résumé}
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\input{Parties/résumé.tex}
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% \section{Résumé}
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% \input{Parties/résumé.tex}
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\section{Bibliographie}
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\end{document}
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