Scale Factors

A pattern can have a global scale factor and 3 independent pattern scale factors for X,Y and Z. A scale ratio is used to model small textures (1/100 mm as an example).

Note: The pattern scale factors are cumulative. Final pattern scale factor = global scale factor * pattern scale factor.

Global Scale Factor

The global scale factor is a I scale factor and is cumulative to each pattern scale factor.

A global scale factor of "1" means 100% of the original pattern size.

The value must be different from 0.

1 Scale Factor

Then, the .txt mapping file is:

  • x1, y1, z1, i1x, i1y, i1z, j1x, j1y, j1z, k1

  • x2, y2, z2, i2x, i2y, i2z, j2x, j2y, j2z, k2

  • x3, y3, z3, i3x, i3y, i3z, j3x, j3y, j3z, k3 ...

3 Scale Factors

Each pattern can have three scale factors. These factors are used to set the size of each pattern independently on the 3 axes (X, Y, Z).

Figure 1. Pattern scale factor (x1,y1,z1) (x2, y1, z1) (x1, y1, z2)

The following scheme describes the modification of the geometry of a pattern.

Then the .txt mapping file is:

  • x1, y1, z1, i1x, i1y, i1z, j1x, j1y, j1z, k1x, k1y, k1z

  • x2, y2, z2, i2x, i2y, i2z, j2x, j2y, j2z, k2x, k2y, k2z

  • x3, y3, z3, i3x, i3y, i3z, j3x, j3y, j3z, k3x, k3y, k3z

3D texture mapping without variable scale
Variable scale
3D texture mapping with variable scale