I hoped that the convexity heatmap would help to locate areas where the mesh would appear smoother if pairs of triangles were flipped, but I see no clear hint
Crumpled:
heattest1.png (Size: 51.46 KB / Downloads: 55)
Smoother:
heattest2.png (Size: 47.46 KB / Downloads: 55)

Crumpled:

Smoother:
