Angel R. Pineda

Research Overview

I am an applied mathematician with research interests in medical inverse problems. My current research focuses on statistical applications in magnetic resonance imaging and x-ray computed tomography. Most medical imaging tasks can be viewed as the estimation of a parameter (such as the size of a tumor) or detection of a lesion under various types of uncertainty. My work tries to optimize performance of medical imaging systems. The following talks were given to audiences with a broad range of backgrounds:

Statistical Estimation in Magnetic Resonance Imaging

Talk summary: We introduce the basic concepts of MRI and then use the Cramer-Rao Bound to optimize the data acquisition for the estimation of two chemical species (typically water and fat). The resulting technique is currently included in GE MRI clinical scanners.

MRI Talk

Statistical Detection in X-ray Imaging

Talk summary: We introduce the basic concepts of X-ray computed tomography (CAT scans) and then use models of human vision to optimize the data acquisition for a tumor detection task. The results suggest that higher resolution detectors result in better noise properties in the image along with higher resolution.

X-Ray Talk

If you are a student at CSUF and are interested in these topics, come and talk to me about them. I am always interested in working with students on research projects.

For a list of publications, see my C. V. For citations, see my ISI Citation Report.