Tomography is the science of gaining information about the insides of an object, by testing it from the outside. Tomography is used in medical imaging, geophysical sensing, non-destructive testing and material modeling. CT and MRI are popular examples of tomography.

We have done path-breaking R&D in tomography. Our deep understanding of physics, ability to create advanced mathematical and statistical algorithms, and solid background in computing and data science make us ideal partners for tomography R&D.

We also have developed special expertise in the underlying mathematical theory of “inverse boundary value problems”, which we have applied to medical tomography as well as many engineering design problems.

## EXAMPLE PROJECTS

**Electrical Impedance Tomography**

We proved, for the first time, that 4-terminal measurements are mathematically equivalent to 2-terminal measurements; an important improvement with tremendous practical implications in medical tomography, and other applications.

Read more about E.I.T.**Single Fiber Endoscopy**

Endoscopes are tubes inserted into the body to gain visual access to the insides of the body. Endoscopes are usually large, requiring incisions at least a quarter of an inch wide, if not wider. Wouldn't it be wonderful if we could make an endoscope as thin as a needle? We used mathematics similar to inverse boundary value problems, to create mathematical and computational techniques to achieve single fiber endoscopy.

Learn about our early research in endoscopy**Universal Elasticity Modeling System**

Our universal elasticity modeling system is essentially a tomography method that non-destructively tests a material to create an elasticity model of the material. This non-medical project tellingly shows how the same mathematics translates to disparate fields.

Learn about the upcoming “UEMS” Learn about our existing elasticity testing product**Large Uniform Light Source**

This project uses an inverse boundary value method applied on top of a 5-dimensional integro-partial differential equation to create mathematically perfect uniform sources of light. A striking example of the beautiful generality of mathematics.

The “why?” and the “how?” of uniform light sources