### Install PyMCubes

Source: https://github.com/pmneila/pymcubes/blob/master/README.md

Install PyMCubes using pip. This command upgrades the package if it is already installed.

```bash
pip install --upgrade PyMCubes
```

--------------------------------

### Extract Iso-Surface from Binary Array

Source: https://github.com/pmneila/pymcubes/blob/master/README.md

Demonstrates extracting an iso-surface from a binary array representing a sphere. A levelset of 0.5 is used for binary arrays.

```Python
x, y, z = np.mgrid[:100, :100, :100]
binary_sphere = (x - 50)**2 + (y - 50)**2 + (z - 50)**2 - 25**2 < 0

# Extract the 0.5-levelset since the array is binary
vertices, triangles = mcubes.marching_cubes(binary_sphere, 0.5)
```

--------------------------------

### Smooth Binary Array for Marching Cubes

Source: https://github.com/pmneila/pymcubes/blob/master/README.md

Smooths a binary array using mcubes.smooth to produce a smoother mesh. The smoothed output is then used with marching_cubes to extract the 0-levelset.

```Python
smoothed_sphere = mcubes.smooth(binary_sphere)

# Extract the 0-levelset (the 0-levelset of the output of mcubes.smooth is the
# smoothed version of the 0.5-levelset of the binary array).
vertices, triangles = mcubes.marching_cubes(smoothed_sphere, 0)
```

--------------------------------

### Extract Sphere Iso-Surface from NumPy Array

Source: https://github.com/pmneila/pymcubes/blob/master/README.md

Create a NumPy volume representing a sphere and extract its iso-surface using marching_cubes. The result is then exported to a DAE file.

```Python
import numpy as np
import mcubes

# Create a data volume (30 x 30 x 30)
X, Y, Z = np.mgrid[:30, :30, :30]
u = (X-15)**2 + (Y-15)**2 + (Z-15)**2 - 8**2

# Extract the 0-isosurface
vertices, triangles = mcubes.marching_cubes(u, 0)

# Export the result to sphere.dae
mcubes.export_mesh(vertices, triangles, "sphere.dae", "MySphere")
```

--------------------------------

### Extract Iso-Surface from Python Function

Source: https://github.com/pmneila/pymcubes/blob/master/README.md

Extract an iso-surface from a volume defined by a Python function. The result can be exported to DAE or OBJ formats. Note: Using a function is significantly slower than using a NumPy array.

```Python
import numpy as np
import mcubes

# Create the volume
f = lambda x, y, z: x**2 + y**2 + z**2

# Extract the 16-isosurface
vertices, triangles = mcubes.marching_cubes_func((-10,-10,-10), (10,10,10),
 100, 100, 100, f, 16)

# Export the result to sphere.dae (requires PyCollada)
mcubes.export_mesh(vertices, triangles, "sphere.dae", "MySphere")

# Or export to an OBJ file
mcubes.export_obj(vertices, triangles, 'sphere.obj')
```

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