Tom Asaki
Mathematics Department
Washington State University
509-335-3135
<tasaki@wsu.edu>

The picture is Mount Tomasaki in the La Sal Mountains of Utah.
How cool is that? A mountain with my name!

Software Design

I am the project leader and co-inspiration for a specialized algorithm development and software engineering package for image and data analysis tools (IDA). I am responsible for maintaining the team's MATLAB/C-based analysis package and guiding its growth. I assist in setting programming standards and provide user support. I also participate in algorithm development and programming.

Optimization

In collaboration with Mark Abramson and John Dennis, Jr., I have been exploring the use of mixed variable programming to solve restricted object class tomographic inversions. Object classes are defined by continuous, integer and categorical variables. Optimization schemes must reliably find global minimizers within rigid time constraints. I also explore various other time-sensitive optimization problems which include hidden or open constraints on computational resources and time.

Special-Application X-ray Tomography

I am pursuing multiple aspects of providing quantitative interpretation of X-ray data for homeland security applications. Areas of research include detector response analysis, polychromatic forward measurement operators, total variation regularized tomographic inversion, object of interest location, subscene extraction, and corrections for scattering effects.

High-Dimensional Data Analysis

I am researching ideas in the interpretation of images and other high-dimensional data. I consider measures on images and shapes leading to metric comparisons, PDE-based image interpretation techniques for denoising and inverse operator regularization, and data clustering using data-dependent metrics.