A manufacturer designed a sample holder with more degrees of freedom for his new generation of electron microscopes. This led to situations where the sample holder could touch the lens, which might damage the instrument. Placing extra sensors in the microscope is a solution. This is not an ideal situation though, for both the bill of materials and maintenance costs will increase.
LIME developed a geometric model for this problem.
The instrument now knows its own geometry and that of the sample, and on the basis of this geometric model it can determine independently and in real time which locations and paths are safe.
LIME realised the desired functionality for the customer, not by adding hardware, but Mathware.
The calculations are done so fast that the end user notices no difference.