Alexander Martinez-Marchese's Home Page

Papers

Publications:

Impact of T2 Decay on Carotid Artery Wall Thickness Measurements

This paper investigates with both measurements and analytic results (also described in the thesis below) the effect of T2 relaxation on the measured wall thickness of a carotid artery when using MRI.

Efficient Fourier Transformation of Unstructured Meshes and Application to MRI Simulation

In this thesis a general metric for the error of computing an oscillatory integral used to simulate MRI image acquisition using numerical integration on surface elements is derived. The surface elements are of the type used in finite element analysis. This result was used to extend a C++ library to allow for adaptive integration of the oscillatory integral using quadratures, for surface meshes of anatomical features. Also a novel numerical integration method for highly oscillatory integrals called Numerical Steepest Descent was extended to integrate the same oscillatory integral on surface elements and its possible speed up was compared with numerical integration using quadratures for realistic MRI setup parameters.

Patents:

A Domestic Cyclonic Vacuum Cleaner

This patent describes a new particle separation stage before the cyclonic stage of a vacuum cleaner. This novel particle separation stage splits the airflow into two streams in order to separate particles through a flat fine screen. The airflow passes through the screen at a shallow angle, allowing for particle separation with a lower power consumption. Another low power cyclonic separator could also be added downstream of the screen. The remainder of the airflow that does not go through the screen is separated by cyclonic action in a small bin with another cylindrical screen. Since most of the airflow moves through a straight screen compared to moving around a larger bin with a cylindrical screen (as done in current vacuum cleaners), the power consumption of this novel separation stage is lower.

Whitepapers:

Introduction to FEA for solid mechanics

Optical Tomography Using the GIIR Method

The separation of variables method in fluid mechanics

Introduction to MRI