SIAM - Colorado State University Chapter

Behold! A beautiful gaggle of SIAM members from this year! Thanks for all the fish, mathies.
~~ Wish you were this stylish and photogenic? Step 1: Join CSU's SIAM chapter next year! ~~

Welcome back, everybody! Stay posted for updates on events throughout the semester and the time/location of our regular meetings. Until then, get hyped about Chris Strickland visiting on Feb. 20th!

Our ol' pal Rashmi is leading a discussion on a math paper this afternoon: 3pm in the usual Rockwell 36.

The paper is on inverse problems and is co-authored by Dr. Cheney. CSU has a few faculty members that study inverse problems so this could be especially helpful to any of you who haven't yet chosen an advisor and want to know more about inverse problems, especially EIT.

Come find out how to see organs using electricity!


Title:
NOSER: An Algorithm for Solving the Inverse Conductivity Problem

Abstract:
The inverse conductivity problem is the mathematical problem that must be solved in order for electrical impedance tomography systems to be able to make images. Here we show how this inverse conductivity problem is related to a number of other inverse problems. We then explain the workings of an algorithm that we have used to make images from electrical impedance data measured on the boundary of a circle in two dimensions. This algorithm is based on the method of
least squares. It takes one step of a Newton’s method, using a constant conductivity as an initial guess. Most of the calculations can therefore be done analytically. The resulting code is named NOSER, for Newton’s One-Step Error Reconstructor. It provides a reconstruction with 496 degrees of freedom. The code does not reproduce the conductivity accurately (unless it differs very little from a constant), but it yields useful images. This is illustrated by images reconstructed from numerical and experimental data, including data from a human chest.

A little Thursday humor for those of you who partake in mathematical wordsmith-ing:

Literature’s Greatest Opening Lines, as Written By Mathematicians So much clearer.

SIAM is hosting its first meeting of the semester! Come grab a pre-lunch snack on Thursday and chat about what gets you excited about applied math!