Supplementary material for F. Wein, P. Jung, A. Moradian, M. Stingl: “Gradient-Based Generation of Feature Mapping Initial Designs from SIMP Density Fields”
Asymmetric quintic (or cubic) Bézier mapping the signed distance to a pseudo-density, used as the
transition function H(d) in the feature-mapping paper. The curve runs from
(−a, 1) through (0, 0.5) to (b, 0) with fixed
y-control points; only the x-control offsets δ shape it.
Blue = x-monotone (invertible, valid), red = not monotone.