I got some now... Thanks for your help! I got...
Medical imaging - how to reconstruct the shape of a tumor from
CAT scans, and other medical measurements. Lots of new
geometry and other math was (and still is being) developed for
this.
Computer graphics is based on geometry - how images are
transformed when viewed in various ways
Structural engineering. What shapes are rigid or flexible,
how they respond to forces and stresses. Statics (resolution
of forces) is essentially geometry.