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I am trying to implement (in C#) an image perturbation algorithm presented in the book "Texturing and modeling - K. Perlin et al" (page 91 if anyone has it), which distorts an image. The following code is in Renderman language: the texture access

Ct = texture("example.tx", s, t);

is replaced by

point Psh;
float ss, tt;
Psh = transform("shader", P);
ss = s + 0.2 * snoise(Psh);
tt = t + 0.2 * snoise(Psh+(l.5,6.7,3.4));
Ct = texture("example.tx", ss, tt);

transforming the image on the left to that on the right

from what I undestood, instead of accessing coordinate $(s,t)\in[0,1]$ we access slighty perturbed coordinates $(ss,tt)$ and display them at place $(s,t)$, thus creating an image that looks slightly perturbed

$snoise(x)$ is defined as $(noise(x)*2)-1$, mapping noise from $[0,1]$ to $[-1,1]$, and in the RenderMan documentation $noise(P)$ where P is a point, returns a value based on some noise (most likely perlin or lattice). (http://renderman.pixar.com/resources/current/RenderMan/noiseFunctions.html)

what I don't understand is what the transform function does, which is supposed to map the 3d point P into the "shader" space, and how can it be implemented. Also, I'm not sure whether noise(x) returns a 3d point, a float (would make more sense) and if I can use a simple 2d implementation of Perlin's noise to reach the same desired effect.

Many thanks

I am trying to implement (in C#) an image perturbation algorithm presented in the book "Texturing and modeling - K. Perlin et al" (page 91 if anyone has it), which distorts an image. The following code is in Renderman language: The texture access

Ct = texture("example.tx", s, t);

is replaced by

point Psh;
float ss, tt;
Psh = transform("shader", P);
ss = s + 0.2 * snoise(Psh);
tt = t + 0.2 * snoise(Psh+(l.5,6.7,3.4));
Ct = texture("example.tx", ss, tt);

transforming the image on the left to that on the right.

From what I undestood, instead of accessing coordinate $(s,t)\in[0,1]$ we access slighty perturbed coordinates $(ss,tt)$ and display them at place $(s,t)$, thus creating an image that looks slightly perturbed.

$snoise(x)$ is defined as $(noise(x)*2)-1$, mapping noise from $[0,1]$ to $[-1,1]$, and in the RenderMan documentation $noise(P)$ where P is a point, returns a value based on some noise (most likely perlin or lattice). (http://renderman.pixar.com/resources/current/RenderMan/noiseFunctions.html)

What I don't understand is what the transform function does, which is supposed to map the 3d point P into the "shader" space, and how can it be implemented. Also, I'm not sure whether noise(x) returns a 3d point, a float (would make more sense) and if I can use a simple 2d implementation of Perlin's noise to reach the same desired effect.