Linear Fractal Mountains

1
Linear Fractal Mountains
Gen 0
Gen 1
Gen 2
Gen 3

• 2 step recursive process
• Subdivide chain by creating edge midpoints
• Randomly perturb midpoint positions

2
Fractals

• Self-similar recursive modeling operators

Sierpinski Triangle
Koch Snowflake
3
Fractal Mountain Surfaces
Gen 0
Gen 1
Gen 2

• 2 step recursive process
• Subdivide triangles at edge midpoints
• Randomly perturb midpoint positions

4
Fractal Mountains Summary

• 2 step recursive process
• Topological split at edge midpoints
• Random perturbation of midpoint positions
• Triangle topological split maintains a
  water-tight connected mesh.