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+ +
+
+ +
+ +
+ +
+

All of the illustrations below are from examples that can be found in the source in the following location:

+ +
/src/examples/java/com/sudoplay/joise/examples/
+
+ +

These are the core modules of the Joise library. All modules have been ported from Joshua Tippetts’ C++ Accidental Noise Library.

+ +

ModuleBasisFunction

+ +

The ModuleBasisFunction generates noise using one of five different BasisTypes and one of four different InterpolationTypes.

+ +

The following examples illustrate each basis type with the four differnent interpolation types.

+ +

BasisType.GRADIENT

+ +

+ +

Gradient noise is essentially Perlin’s original noise function. This +implementation of gradient noise will return the value 0 at the lattice +points, therefore sampling at integer intervals (ie. 0, 1, 2, 3, etc.) +will result in a consistent output of 0. This noise, depending on the +application, may suffer from visually significant directional artifacts +or grid-oriented artifacts.

+ +

BasisType.GRADVAL

+ +

+ +

Gradval noise is an addition of gradient and value noise designed to +reduce the visual artifacts apparent in gradient noise. Since both +gradient and value noise is bound to the grid, artifacts can still +occur.

+ +

BasisType.SIMPLEX

+ +

+ +

Simplex noise is a form of Perlin’s improved noise function.

+ +

For more information, see: Simplex Noise.

+ +

BasisType.VALUE

+ +

+ +

Value noise creates a lattice of points which are assigned random +values, then returns an interpolated value based on the values of the +lattice points surrounding the input coordinates.

+ +

BasisType.WHITE

+ +

+ +

White noise generates no coherent pattern whatsoever.

+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  protected Module createModuleBasisFunction(
+      ModuleBasisFunction.BasisType basisType,
+      ModuleBasisFunction.InterpolationType interpolationType
+  ) {
+
+    ModuleBasisFunction moduleBasisFunction = new ModuleBasisFunction();
+    moduleBasisFunction.setType(basisType);
+    moduleBasisFunction.setInterpolation(interpolationType);
+    moduleBasisFunction.setSeed(42);
+
+    /**
+     * We auto-correct into the range [0, 1].
+     */
+    ModuleAutoCorrect moduleAutoCorrect = new ModuleAutoCorrect(0, 1);
+    moduleAutoCorrect.setSource(moduleBasisFunction);
+    moduleAutoCorrect.setSamples(10000);
+    moduleAutoCorrect.calculate2D();
+
+    /**
+     * We scale the domain to see more of the noise.
+     */
+    ModuleScaleDomain moduleScaleDomain = new ModuleScaleDomain();
+    moduleScaleDomain.setSource(moduleAutoCorrect);
+    moduleScaleDomain.setScaleX(16.0);
+    moduleScaleDomain.setScaleY(16.0);
+
+    return moduleScaleDomain;
+  }
+
+...
+
+ +

ModuleCellGen

+ +
+

This module can't be sampled directly.

+ The ModuleCellGen acts as input to the ModuleCellular module and therefore can't be sampled directly. +
+ +

The ModuleCellGen acts a source for the ModuleCellular module. It can + be shared between more than one ModuleCellular and will cache sampled +values in order to improve performance.

+ +

ModuleCellular

+ +

+ +

ModuleCellular is used in conjunction with the ModuleCellGen to provide values based on Worley noise.

+ +

The parameters F1, F2, F3, and F4 + are coefficients multiplied by the distances to the first, second, +third, and fourth closest feature points, respectively. By default, the +value for each of these coefficients is zero.

+ +

Here is an excerpt from Worley’s original paper:

+ +
+

We can define a new basis function based on the idea of random +feature points. Imagine points randomly distributed through all of R3. +For any location x, there is some feature point which lies closer to x +than any other feature point. Define F1(x) as the distance from x to +that closest feature point. As x is varied, F1 varies smoothly since the + distance between the sample location and the fixed feature point varies + smoothly. However, at certain cusp locations, the point x will be +equidistant between two feature points. Here, the value of F1(x) is +still well defined, since the value is the same no matter which feature +point is chosen to calculate the distance. Varying the position of x +will return values of F1 that are still continuous, though the +derivative of F1 will change discontinuously as the distance calculation + “switches” from one feature point to its neighbor.

+
+ +
+

It can be seen that the locations where the function F1 “switches” +from one feature point to the next (where its derivative is +discontinuous) are along the equidistance planes that separate two +points in R3. These planes are exactly the planes that are computed by a + Voronoi diagram, which by definition partitions space into cellular +regions where all the points within each region are closer to its +defining point than any other point.

+
+ +
+

The function F2(x) can be defined as the distance between the +location x and the feature point which is the second closest to the x. +With similar arguments as before, F2 is continuous everywhere, but its +derivative is not at those locations where the second-closest point +swaps with either the first-closest or third-closest. Similarly, we can +define Fn(x) as the distance between x and the nth closest feature +point.

+
+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleCellGen moduleCellGen = new ModuleCellGen();
+    moduleCellGen.setSeed(42);
+
+    canvas.updateImage(
+        "F1 = 1", getSource(moduleCellGen, 1, 0, 0, 0),
+        "F2 = 1", getSource(moduleCellGen, 0, 1, 0, 0),
+        "F1 = 1, F2 = -1", getSource(moduleCellGen, 1, -1, 0, 0),
+        "F4 = 1", getSource(moduleCellGen, 0, 0, 0, 1)
+    );
+  }
+
+  private Module getSource(ModuleCellGen moduleCellGen, int a, int b, int c, int d) {
+    ModuleCellular moduleCellular = new ModuleCellular();
+    moduleCellular.setCellularSource(moduleCellGen);
+    moduleCellular.setCoefficients(a, b, c, d);
+
+    /**
+     * We scale the domain to visualize more of the noise.
+     */
+    ModuleScaleDomain moduleScaleDomain = new ModuleScaleDomain();
+    moduleScaleDomain.setSource(moduleCellular);
+    moduleScaleDomain.setScaleX(8);
+    moduleScaleDomain.setScaleY(8);
+
+    /**
+     * We auto-correct into the range [0, 1].
+     */
+    ModuleAutoCorrect source = new ModuleAutoCorrect(0, 1);
+    source.setSource(moduleScaleDomain);
+    source.setSamples(10000);
+    source.calculate2D();
+    return source;
+  }
+
+...
+
+ +

ModuleFractal

+ +

The fractal module combines up to ten sources, either the default sources or custom sources set by calling the ModuleFractal#overrideSource(int, Module) + method. The basis type and interpolation type can be set for all or +individual default sources by calling the appropriate methods.

+ +

Billow

+ +

BasisType.GRADIENT

+ +

+ +

BasisType.GRADVAL

+ +

+ +

BasisType.SIMPLEX

+ +

+ +

BasisType.VALUE

+ +

+ +

deCarpentierSwiss

+ +

BasisType.GRADIENT

+ +

+ +

BasisType.GRADVAL

+ +

+ +

BasisType.SIMPLEX

+ +

+ +

BasisType.VALUE

+ +

+ +

FBM

+ +

BasisType.GRADIENT

+ +

+ +

BasisType.GRADVAL

+ +

+ +

BasisType.SIMPLEX

+ +

+ +

BasisType.VALUE

+ +

+ +

HybridMulti

+ +

BasisType.GRADIENT

+ +

+ +

BasisType.GRADVAL

+ +

+ +

BasisType.SIMPLEX

+ +

+ +

BasisType.VALUE

+ +

+ +

Multi

+ +

BasisType.GRADIENT

+ +

+ +

BasisType.GRADVAL

+ +

+ +

BasisType.SIMPLEX

+ +

+ +

BasisType.VALUE

+ +

+ +

RidgeMulti

+ +

BasisType.GRADIENT

+ +

+ +

BasisType.GRADVAL

+ +

+ +

BasisType.SIMPLEX

+ +

+ +

BasisType.VALUE

+ +

+ +

BasisType.WHITE

+ +

The white noise basis types for ModuleFractal have been grouped below for visual comparison.

+ +

FractalType.BILLOW

+ +

+ +

FractalType.DECARPENTIERSWISS

+ +

+ +

FractalType.FBM

+ +

+ +

FractalType.HYBRIDMULTI

+ +

+ +

FractalType.MULTI

+ +

+ +

FractalType.RIDGEMULTI

+ +

+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+    BasisType basisType = BasisType.SIMPLEX;
+    FractalType fractalType = FractalType.HYBRIDMULTI;
+
+    canvas.updateImage(
+        "none", getModule(basisType, InterpolationType.NONE, fractalType),
+        "linear", getModule(basisType, InterpolationType.LINEAR, fractalType),
+        "cubic", getModule(basisType, InterpolationType.CUBIC, fractalType),
+        "quintic", getModule(basisType, InterpolationType.QUINTIC, fractalType)
+    );
+  }
+
+  private ModuleAutoCorrect getModule(
+      BasisType basisType,
+      InterpolationType interpolationType,
+      FractalType fractalType
+  ) {
+    ModuleFractal gen = new ModuleFractal();
+    gen.setAllSourceBasisTypes(basisType);
+    gen.setAllSourceInterpolationTypes(interpolationType);
+    gen.setNumOctaves(5);
+    gen.setFrequency(2.34);
+    gen.setType(fractalType);
+    gen.setSeed(42);
+
+    /**
+     * We auto-correct into the range [0, 1], performing 10,000 samples 
+     * to calculate the auto-correct values.
+     */
+    ModuleAutoCorrect source = new ModuleAutoCorrect(0, 1);
+    source.setSource(gen);
+    source.setSamples(10000);
+    source.calculate2D();
+    return source;
+  }
+
+...
+
+ +

ModuleGradient

+ +

+ +

The ModuleGradient generates a linear gradient with output values ranging from 0 to 1.

+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    canvas.updateImage(
+        "(0, 0) -> (0, 1)", getModule(0, 0, 0, 1),
+        "(0.5, 0) -> (1, 1)", getModule(0.5, 1, 0, 1)
+    );
+  }
+
+  private ModuleGradient getModule(double x1, double x2, double y1, double y2) {
+    ModuleGradient moduleGradient = new ModuleGradient();
+    moduleGradient.setGradient(x1, x2, y1, y2);
+    return moduleGradient;
+  }
+
+...
+
+ +

ModuleSphere

+ +

+ +

The ModuleSphere generates a spherical gradient with output values ranging from 0 to 1.

+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleSphere moduleSphere = new ModuleSphere();
+    moduleSphere.setCenterX(0.5);
+    moduleSphere.setCenterY(0.5);
+    moduleSphere.setRadius(0.5);
+
+    canvas.updateImage(
+        "source", moduleSphere
+    );
+  }
+
+...
+
+ +

Simple Manipulators

+ +

Simple manipulators are modules that take a single source and perform + a fairly simple mathematical function on the sampled values.

+ +

ModuleAbs

+ +

+ +

The absolute value module returns the absolute value of the sampled value.

+ +

Negative values are displayed in red for clarity.

+ +
y = |x|
+
+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleFractal gen = new ModuleFractal();
+    gen.setAllSourceBasisTypes(ModuleBasisFunction.BasisType.SIMPLEX);
+    gen.setAllSourceInterpolationTypes(ModuleBasisFunction.InterpolationType.CUBIC);
+    gen.setNumOctaves(5);
+    gen.setFrequency(2.34);
+    gen.setType(ModuleFractal.FractalType.RIDGEMULTI);
+    gen.setSeed(42);
+
+    /**
+     * We auto-correct into the range [-1, 1] to ensure we have some negative values 
+     * for the abs module.
+     */
+    ModuleAutoCorrect source = new ModuleAutoCorrect(-1, 1);
+    source.setSource(gen);
+    source.setSamples(10000);
+    source.calculate();
+
+    /**
+     * Performs the absolute value function on the noise.
+     */
+    ModuleAbs moduleAbs = new ModuleAbs();
+    moduleAbs.setSource(source);
+
+    canvas.updateImage(
+        "source", source,
+        "moduleAbs", moduleAbs
+    );
+  }
+
+...
+
+ +

ModuleClamp

+ +

+ +

The clamp module restricts the sampled value to the range [lo,hi].

+ +
y = min(hi, max(lo, x))
+
+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleFractal gen = new ModuleFractal();
+    gen.setAllSourceBasisTypes(ModuleBasisFunction.BasisType.SIMPLEX);
+    gen.setAllSourceInterpolationTypes(ModuleBasisFunction.InterpolationType.CUBIC);
+    gen.setNumOctaves(5);
+    gen.setFrequency(2.34);
+    gen.setType(ModuleFractal.FractalType.RIDGEMULTI);
+    gen.setSeed(42);
+
+    /**
+     * We auto-correct into the range [0, 1], performing 10,000 samples to 
+     * calculate the auto-correct values.
+     */
+    ModuleAutoCorrect source = new ModuleAutoCorrect(0, 1);
+    source.setSource(gen);
+    source.setSamples(10000);
+    source.calculate();
+
+    ModuleClamp moduleClamp = new ModuleClamp();
+    moduleClamp.setSource(source);
+    moduleClamp.setLow(0.25);
+    moduleClamp.setHigh(0.5);
+
+    canvas.updateImage(
+        "source", source,
+        "moduleClamp", moduleClamp
+    );
+  }
+
+...
+
+ +

ModuleCos

+ +

+ +

The cosine module passes the sampled value through a cosine function.

+ +
y = cos(x)
+
+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleFractal gen = new ModuleFractal();
+    gen.setAllSourceBasisTypes(ModuleBasisFunction.BasisType.SIMPLEX);
+    gen.setAllSourceInterpolationTypes(ModuleBasisFunction.InterpolationType.CUBIC);
+    gen.setNumOctaves(5);
+    gen.setFrequency(2.34);
+    gen.setType(ModuleFractal.FractalType.RIDGEMULTI);
+    gen.setSeed(42);
+
+    /**
+     * We auto-correct into the range [0, 1], performing 10,000 samples to 
+     * calculate the auto-correct values.
+     */
+    ModuleAutoCorrect source = new ModuleAutoCorrect(0, 1);
+    source.setSource(gen);
+    source.setSamples(10000);
+    source.calculate();
+
+    ModuleCos moduleCos = new ModuleCos();
+    moduleCos.setSource(source);
+
+    canvas.updateImage(
+        "source", source,
+        "moduleCos", moduleCos
+    );
+  }
+
+...
+
+ +

ModuleFloor

+ +

+ +

This module returns the largest integer value equal to or smaller than the value sampled.

+ +

In this example, the original source is multiplied by 8, y = 8x, before applying the floor function. The final output is auto-corrected back into the range [0,1].

+ +

Values above 1 are displayed in blue for clarity.

+ +
y = floor(x)
+
+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleFractal gen = new ModuleFractal();
+    gen.setAllSourceBasisTypes(ModuleBasisFunction.BasisType.SIMPLEX);
+    gen.setAllSourceInterpolationTypes(ModuleBasisFunction.InterpolationType.CUBIC);
+    gen.setNumOctaves(5);
+    gen.setFrequency(2.34);
+    gen.setType(ModuleFractal.FractalType.RIDGEMULTI);
+    gen.setSeed(42);
+
+    /**
+     * We auto-correct into the range [0, 1], performing 10,000 samples to 
+     * calculate the auto-correct values.
+     */
+    ModuleAutoCorrect moduleAutoCorrect = new ModuleAutoCorrect(0, 1);
+    moduleAutoCorrect.setSource(gen);
+    moduleAutoCorrect.setSamples(10000);
+    moduleAutoCorrect.calculate();
+
+    /**
+     * Since ModuleFloor returns the largest integer value smaller than the value sampled, 
+     * we need to use the ModuleCombiner to multiply the sampled values by a number in 
+     * order to have a larger range that contains more possible integer values.
+     */
+    ModuleCombiner source = new ModuleCombiner();
+    source.setType(ModuleCombiner.CombinerType.MULT);
+    source.setSource(0, moduleAutoCorrect);
+    source.setSource(1, 8.0);
+
+    ModuleFloor moduleFloor = new ModuleFloor();
+    moduleFloor.setSource(source);
+
+    /**
+     * We auto-correct from the range [0, 8] back into the range of [0, 1] to be 
+     * able to visualize the results.
+     */
+    ModuleAutoCorrect moduleFloorAutoCorrect = new ModuleAutoCorrect();
+    moduleFloorAutoCorrect.setSource(moduleFloor);
+    moduleFloorAutoCorrect.setSamples(10000);
+    moduleFloorAutoCorrect.calculate();
+
+    canvas.updateImage(
+        "original source", moduleAutoCorrect,
+        "source (x8)", source,
+        "moduleFloor (auto-corrected)", moduleFloorAutoCorrect
+    );
+  }
+
+...
+
+ +

ModuleInvert

+ +

+ +

The invert module changes positive values to negative and negative values to positive.

+ +

Negative values are displayed in red for clarity.

+ +
y = -x
+
+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleFractal gen = new ModuleFractal();
+    gen.setAllSourceBasisTypes(ModuleBasisFunction.BasisType.SIMPLEX);
+    gen.setAllSourceInterpolationTypes(ModuleBasisFunction.InterpolationType.CUBIC);
+    gen.setNumOctaves(5);
+    gen.setFrequency(2.34);
+    gen.setType(ModuleFractal.FractalType.RIDGEMULTI);
+    gen.setSeed(42);
+
+    /**
+     * We auto-correct into the range [0, 1], performing 10,000 samples to 
+     * calculate the auto-correct values.
+     */
+    ModuleAutoCorrect moduleAutoCorrect = new ModuleAutoCorrect(0, 1);
+    moduleAutoCorrect.setSource(gen);
+    moduleAutoCorrect.setSamples(10000);
+    moduleAutoCorrect.calculate();
+
+    /**
+     * Inverting brings the range from [0, 1] into [-1, 0]
+     */
+    ModuleInvert moduleInvert = new ModuleInvert();
+    moduleInvert.setSource(moduleAutoCorrect);
+
+    /**
+     * Add 1.0 to bring the range from [-1, 0] back to [0, 1]
+     */
+    ModuleCombiner moduleCombiner = new ModuleCombiner();
+    moduleCombiner.setSource(0, moduleInvert);
+    moduleCombiner.setSource(1, 1.0);
+    moduleCombiner.setType(ModuleCombiner.CombinerType.ADD);
+
+    canvas.updateImage(
+        "source", moduleAutoCorrect,
+        "invert", moduleInvert,
+        "corrected invert", moduleCombiner
+    );
+  }
+
+...
+
+ +

ModulePow

+ +

+ +

The pow module raises the sampled value to the power given.

+ +
y = x^pow
+
+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleFractal source = new ModuleFractal();
+    source.setAllSourceBasisTypes(ModuleBasisFunction.BasisType.SIMPLEX);
+    source.setAllSourceInterpolationTypes(ModuleBasisFunction.InterpolationType.CUBIC);
+    source.setNumOctaves(5);
+    source.setFrequency(2.34);
+    source.setType(ModuleFractal.FractalType.RIDGEMULTI);
+    source.setSeed(42);
+
+    /**
+     * We auto-correct into the range [0, 1], performing 10,000 samples to 
+     * calculate the auto-correct values.
+     */
+    ModuleAutoCorrect moduleAutoCorrect = new ModuleAutoCorrect(0, 1);
+    moduleAutoCorrect.setSource(source);
+    moduleAutoCorrect.setSamples(10000);
+    moduleAutoCorrect.calculate();
+
+    ModulePow modulePow = new ModulePow();
+    modulePow.setSource(moduleAutoCorrect);
+    modulePow.setPower(2.0);
+
+    canvas.updateImage(
+        "source", moduleAutoCorrect,
+        "pow", modulePow
+    );
+  }
+
+...
+
+ +

ModuleSin

+ +

+ +

The sine module passes the sampled value through a sine function.

+ +
y = sin(x)
+
+ +

Example Code

+ +

Here is a snippet from the example:

+ +
...
+
+  @Override
+  protected void run(SplitCanvas canvas) {
+
+    ModuleFractal source = new ModuleFractal();
+    source.setAllSourceBasisTypes(ModuleBasisFunction.BasisType.SIMPLEX);
+    source.setAllSourceInterpolationTypes(ModuleBasisFunction.InterpolationType.CUBIC);
+    source.setNumOctaves(5);
+    source.setFrequency(2.34);
+    source.setType(ModuleFractal.FractalType.RIDGEMULTI);
+    source.setSeed(42);
+
+    /**
+     * We auto-correct into the range [0, 1], performing 10,000 samples to 
+     * calculate the auto-correct values.
+     */
+    ModuleAutoCorrect moduleAutoCorrect = new ModuleAutoCorrect(0, 1);
+    moduleAutoCorrect.setSource(source);
+    moduleAutoCorrect.setSamples(10000);
+    moduleAutoCorrect.calculate();
+
+    ModuleSin moduleSin = new ModuleSin();
+    moduleSin.setSource(moduleAutoCorrect);
+
+    canvas.updateImage(
+        "source", moduleAutoCorrect,
+        "moduleSin", moduleSin
+    );
+  }
+
+...
+
+ +

Complex Manipulators

+ +

Complex manipulators are modules that take one or more sources and +perform mathematical functions on the sampled values that are more +complex than the simple manipulators.

+ +

ModuleAutoCorrect

+ +

+ +

ModuleBias

+ +

+ +

ModuleBlend

+ +

+ +

ModuleBrightContrast

+ +

+ +

ModuleCache

+ +
+

// TODO

+
+ +

ModuleCombiner

+ +

Add

+ +

+ +

Avg

+ +

+ +

Max

+ +

+ +

Min

+ +

+ +

Mult

+ +

+ +

ModuleFunctionGradient

+ +

+ +

ModuleGain

+ +

+ +

ModuleMagnitude

+ +

+ +

ModuleNormalizedCoords

+ +

+ +

ModuleRotateDomain

+ +

+ +

ModuleSawtooth

+ +

+ +

ModuleScaleDomain

+ +

+ +

ModuleScaleOffset

+ +

+ +

ModuleSelect

+ +

+ +

ModuleTiers

+ +

+ +

ModuleTranslateDomain

+ +

+ +

ModuleTriangle

+ +

+ +
+ +
+ + + +
+
+
+
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