Using Optical Triangulation to calculate the height of a cylinder from its projection

[alya]

Homework Statement:

Need to derive the following formula trying from the last 5 days

Relevant Equations:

https://www.hindawi.com/journals/ijo/2017/4134205/

My mentor wants the derivation of this formula.
Me a computer undergrad, unable to figure it out, and my final project are on a halt due to this, any help from the community is greatly appreciated!

 

[berkeman]

Homework Statement:: Need to derive the following formula trying from the last 5 days
Relevant Equations:: https://www.hindawi.com/journals/ijo/2017/4134205/

View attachment 282405

View attachment 282404

My mentor wants the derivation of this formula.
Me a computer undergrad, unable to figure it out, and my final project are on a halt due to this, any help from the community is greatly appreciated!

Welcome to PhysicsForums.

Please show us what you have tried so far. We have to see your work before we can offer tutorial help. What do you believe are the most useful Relevant Equations for this problem? (the link you posted is to the full paper about this calculation, not just the several most Relevant Equations)...