I search some ideas about a solution to measure a short distance with telemetry

Hi, i'm on the start of a project with some friends, the idea is to make a box that have the size of an 3D printer that we can put on an object and it reacreate it in 3D.
My part of the job is to find a solution to measure the vertical distance between the telemeter(system that will measure the distance) and tranmit the information to an arduino.

so for the moment i searched for some ideas to measure the distance and i found 3 main solutions which are :
-telemetry ultrasonic
-telemetry laser
-triangulation (which i'm not sure about how it works)
-measure the distance via a stick that tutches the object point per point and a engine to move it

and i found some topics, for the ultrasonic telemeters the precision is about 3-4cm and it's not enough.
for the laser telemeter and the ultrasonic i didn't knew if the wawe that is emitted by the telemeter reach a surface that is not perpendicular will it come back and permit the measurement?
and for measuring via a stick i didnt had much time to find system already made and i think it would be the slowest solution, so i would took it if there is nothing else.

Ty for the people that had the courage to read all this and the one that will help me ^^

I saw these guys at FabTech... very impressive stuff:

Maybe this can give you some ideas about how they're doing currently:

Delta_G:
They are pretty expensive pieces of equipment.

I really want to keyence system... it's amazing.

I have seen a video of how the guy at Modelu makes 3D scans of people with a hand-held scanner. He did not seem to need any external reference other than the scanned image.

...R

Robin2:
I have seen a video of how the guy at Modelu makes 3D scans of people with a hand-held scanner. He did not seem to need any external reference other than the scanned image.

...R

They're using them in the dentist's office now: 3Shape Clinic solutions – Everything for Dentists Looking at Digital

yeah the resin printers can print out perfect prints for molds.