3D Perlin Vertex Noise GLSL Sourcecode

This is the GLSL vertex shader code for 3D noise. Fragment shader is the same as for the 2D variant.

/*
	3D Perlin-Noise in the vertex shader, based originally on
	vBomb.fx HLSL vertex noise shader, from the NVIDIA Shader Library.
	http://developer.download.nvidia.com/shaderlibrary/webpages/shader_library.html#vbomb
	
	Original Perlin function substituted for Stefan Gustavson's
	texture-lookup-based Perlin implementation.
	
	Quartz Composer setup
	toneburst 2009
	https://machinesdontcare.wordpress.com
*/

////////////////////////
//  3D Perlin Noise   //
////////////////////////

/*
	3D Perlin-Noise from example by Stefan Gustavson, found at
	http://staffwww.itn.liu.se/~stegu/simplexnoise/
*/

uniform sampler2D permTexture;			// Permutation texture
const float permTexUnit = 1.0/256.0;		// Perm texture texel-size
const float permTexUnitHalf = 0.5/256.0;	// Half perm texture texel-size

float fade(in float t) {
	return t*t*t*(t*(t*6.0-15.0)+10.0);
}

float pnoise3D(in vec3 p)
{
	vec3 pi = permTexUnit*floor(p)+permTexUnitHalf; // Integer part, scaled so +1 moves permTexUnit texel
	// and offset 1/2 texel to sample texel centers
	vec3 pf = fract(p);     // Fractional part for interpolation

	// Noise contributions from (x=0, y=0), z=0 and z=1
	float perm00 = texture2D(permTexture, pi.xy).a ;
	vec3  grad000 = texture2D(permTexture, vec2(perm00, pi.z)).rgb * 4.0 - 1.0;
	float n000 = dot(grad000, pf);
	vec3  grad001 = texture2D(permTexture, vec2(perm00, pi.z + permTexUnit)).rgb * 4.0 - 1.0;
	float n001 = dot(grad001, pf - vec3(0.0, 0.0, 1.0));

	// Noise contributions from (x=0, y=1), z=0 and z=1
	float perm01 = texture2D(permTexture, pi.xy + vec2(0.0, permTexUnit)).a ;
	vec3  grad010 = texture2D(permTexture, vec2(perm01, pi.z)).rgb * 4.0 - 1.0;
	float n010 = dot(grad010, pf - vec3(0.0, 1.0, 0.0));
	vec3  grad011 = texture2D(permTexture, vec2(perm01, pi.z + permTexUnit)).rgb * 4.0 - 1.0;
	float n011 = dot(grad011, pf - vec3(0.0, 1.0, 1.0));

	// Noise contributions from (x=1, y=0), z=0 and z=1
	float perm10 = texture2D(permTexture, pi.xy + vec2(permTexUnit, 0.0)).a ;
	vec3  grad100 = texture2D(permTexture, vec2(perm10, pi.z)).rgb * 4.0 - 1.0;
	float n100 = dot(grad100, pf - vec3(1.0, 0.0, 0.0));
	vec3  grad101 = texture2D(permTexture, vec2(perm10, pi.z + permTexUnit)).rgb * 4.0 - 1.0;
	float n101 = dot(grad101, pf - vec3(1.0, 0.0, 1.0));

	// Noise contributions from (x=1, y=1), z=0 and z=1
	float perm11 = texture2D(permTexture, pi.xy + vec2(permTexUnit, permTexUnit)).a ;
	vec3  grad110 = texture2D(permTexture, vec2(perm11, pi.z)).rgb * 4.0 - 1.0;
	float n110 = dot(grad110, pf - vec3(1.0, 1.0, 0.0));
	vec3  grad111 = texture2D(permTexture, vec2(perm11, pi.z + permTexUnit)).rgb * 4.0 - 1.0;
	float n111 = dot(grad111, pf - vec3(1.0, 1.0, 1.0));

	// Blend contributions along x
	vec4 n_x = mix(vec4(n000, n001, n010, n011),
			vec4(n100, n101, n110, n111), fade(pf.x));

	// Blend contributions along y
	vec2 n_xy = mix(n_x.xy, n_x.zw, fade(pf.y));

	// Blend contributions along z
	float n_xyz = mix(n_xy.x, n_xy.y, fade(pf.z));

	// We're done, return the final noise value.
	return n_xyz;
}

/////////////////////
// Sphere Function //
/////////////////////

const float PI = 3.14159265;
const float TWOPI = 6.28318531;
uniform float BaseRadius;

vec4 sphere(in float u, in float v) {
	u *= PI;
	v *= TWOPI;
	vec4 pSphere;
	pSphere.x = BaseRadius * cos(v) * sin(u);
	pSphere.y = BaseRadius * sin(v) * sin(u);
	pSphere.z = BaseRadius * cos(u);
	pSphere.w = 1.0;
	return pSphere;
}

///////////////////////////
// Apply 3D Perlin Noise //
///////////////////////////

uniform vec3 NoiseScale;	// Noise scale, 0.01 > 8
uniform float Sharpness;	// Displacement 'sharpness', 0.1 > 5
uniform float Displacement;	// Displcement amount, 0 > 2
uniform float Speed;		// Displacement rate, 0.01 > 1
uniform float Timer;		// Feed incrementing value, infinite

vec4 perlinSphere(in float u, in float v) {
	vec4 sPoint = sphere(u, v);
	// The rest of this function is mainly from vBomb shader from NVIDIA Shader Library
	vec4 noisePos = vec4(NoiseScale.xyz,1.0) * (sPoint + (Speed * Timer));
	float noise = (pnoise3D(noisePos.xyz) + 1.0) * 0.5;;
	float ni = pow(abs(noise),Sharpness) - 0.25;
	vec4 nn = vec4(normalize(sPoint.xyz),0.0);
	return (sPoint - (nn * (ni-0.5) * Displacement));
}

////////////////////////////////
// Calculate Position, Normal //
////////////////////////////////

const float grid = 0.01;	// Grid offset for normal-estimation
varying vec3 norm;			// Normal

vec4 posNorm(in float u, in float v) {
	// Vertex position
	vec4 vPosition = perlinSphere(u, v);
	// Estimate normal by 'neighbour' technique
	// with thanks to tonfilm
	vec3 tangent = (perlinSphere(u + grid, v) - vPosition).xyz;
	vec3 bitangent = (perlinSphere(u, v + grid) - vPosition).xyz;
	norm = gl_NormalMatrix * normalize(cross(tangent, bitangent));
	// Return vertex position
	return vPosition;
}

//////////////////////////
// Phong Directional VS //
//////////////////////////

// -- Lighting varyings (to Fragment Shader)
varying vec3 lightDir0, halfVector0;
varying vec4 diffuse0, ambient;

void phongDir_VS() {
	// Extract values from gl light parameters
	// and set varyings for Fragment Shader
	lightDir0 = normalize(vec3(gl_LightSource[0].position));
	halfVector0 = normalize(gl_LightSource[0].halfVector.xyz);
	diffuse0 = gl_FrontMaterial.diffuse * gl_LightSource[0].diffuse;
	ambient =  gl_FrontMaterial.ambient * gl_LightSource[0].ambient;
	ambient += gl_LightModel.ambient * gl_FrontMaterial.ambient;
}

///////////////
// Main Loop //
///////////////

uniform vec2 PreScale, PreTranslate;	// Mesh pre-transform

void main()
{
	vec2 uv = gl_Vertex.xy;
	// Offset XY mesh coords to 0 > 1 range
	uv += 0.5;
	
	// Pre-scale and transform mesh
	uv *= PreScale;
	uv += PreTranslate;
	
	// Calculate new vertex position and normal
	vec4 spherePos = posNorm(uv[0], uv[1]);
	
	// Calculate lighting varyings to be passed to fragment shader
	phongDir_VS();
	
	// Transform new vertex position by modelview and projection matrices
	gl_Position = gl_ModelViewProjectionMatrix * spherePos;
	
	// Forward current texture coordinates after applying texture matrix
	gl_TexCoord[0] = gl_TextureMatrix[0] * gl_MultiTexCoord0;
}

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