For this research, our main purpose is to obtain a better understanding of the Earths tectonic processes in the Texas region, which requires us to analyze the Earth structure. We expand on a constrained optimization approach for a joint inversion least-squares (LSQ) algorithm to characterize a one-dimensional Earth’s structure of Texas with the use of multiple geophysical data sets. We employed...

OBJECTIVE The purpose of this study was to describe a method of 4-dimensional (4D) reconstruction of the cardiac chambers and outflow tracts using a combination of spatiotemporal image correlation, "inversion mode," and "B-flow" imaging. METHODS Spatiotemporal image correlation and the inversion mode were used in the examination of the volume data sets of 23 fetuses with congenital heart anom...

Inversion of magnetic data is an important step towards interpretation of the practical data. Smooth inversion is a common technique for the inversion of data. Physical bound constraint can improve the solution to the magnetic inverse problem. However, how to introduce the bound constraint into the inversion procedure is important. Imposing bound constraint makes the magnetic data inversion a n...

BACKGROUND The aim of our study was the investigation of a novel navigator-gated three-dimensional (3D) steady-state free-precession (SSFP) sequence for free-breathing renal magnetic resonance angiography (MRA) without contrast medium, and to examine the advantage of an additional inversion prepulse for improved contrast. METHODS Eight healthy volunteers (mean age 29 years) and eight patients...

The smoothness-constrained least-squares method is widely used for two-dimensional (2D) and three-dimensional (3D) inversion of apparent resistivity data sets. The Gauss–Newton method that recalculates the Jacobian matrix of partial derivatives for all iterations is commonly used to solve the least-squares equation. The quasi-Newton method has also been used to reduce the computer time. In this...

In this paper, we studied effect of different parameters including density, viscosity, interfacial tension and solute transfer concentration on phase inversion hold-up. The results showed that change in phase density ratio had no effect on phase inversion hold-up. It also disclosed that the phase viscosity ratio was the most effective parameter affecting phase inversion hold-up and each phase h...

s, 28, 719–722. Commer, M., and G. Newman, 2008a, New advances in three-dimensional controlled source electromagnetic inversion: Geophysical Journal International, 172, no. 2, 513–535, doi:10.1111/j.1365-246X.2007.03663.x. ———, 2008b, Optimal conductivity reconstruction using three-dimensional joint and model-based inversion for controlled-source and magnetotelluric data: 78th Annual Internatio...

We develop an algorithm for numerically inverting multi-dimensional transforms. Our algorithm applies to any number of continuous variables (Laplace transforms) and discrete variables (generating functions). We use the Fourier-series method; i.e., the inversion formula is the Fourier series of a periodic function constructed by aliasing. This amounts to an application of the Poisson summation f...