We propose a non-contrast-enhanced, three-dimensional, free-breathing, electrocardiogram-gated, gradient recalled echo sequence with a slab-selective inversion for pulmonary vein (PV) MRI. A sagittal inversion slab was applied prior to data acquisition to suppress structures adjacent to the left atrium (LA) and PVs, thereby improving the conspicuity of the PV and LA. Compared with other MR angi...

Linear inverse scattering problems can be solved by regularized inversion of a matrix, whose calculation and inversion may require significant computing resources, in particular, a significant amount of RAM memory. This effort is dependent on the extent of the investigation domain, which drives a large amount of data to be gathered and a large number of unknowns to be looked for, when this doma...

We introduce a forward model for the cone-beam X-ray Computed Tomography projection data measured in native geometries as a Fourier Integral Operator and present a corresponding filtered-backprojection type inversion formula. Our model and inversion formula can accommodate arbitrary source trajectories, arbitrary detector plane orientation, detector surface geometries, and other system related ...

[1] There is increasing interest in the use of multiple measurement types, including indirect (geophysical) methods, to constrain hydrologic interpretations. To date, most examples integrating geophysical measurements in hydrology have followed a three‐step, uncoupled inverse approach. This approach begins with independent geophysical inversion to infer the spatial and/or temporal distribution ...

This paper presents an approach to articulatory inversion using audio and video of the user’s face, requiring no special markers. The video is stabilized with respect to the face, and the mouth region cropped out. The mouth image is projected into a learned independent component subspace to obtain a low-dimensional representation of the mouth appearance. The inversion problem is treated as one ...

We present three-dimensional inversion algorithms for inversion of cross-well electromagnetic and controlled-source electromagnetic (CSEM) data. The inversion is accomplished with a Gauss-Newton technique where the model parameters are forced to lie within their upper and lower bounds by means of a non-linear transformation procedure. The Jacobian is computed using an adjoint method. A line sea...

Magnetotelluric (MT) problems often contain different subdomains where the conductivity of the media depends upon one, two, or three spatial variables. Traditionally, when a MT problem incorporates a three-dimensional (3D) subdomain, the numerical method employed for simulation and inversion was 3D over then entire domain. In here, we propose to take advantage of the possibly lower dimensionali...

This paper proposes an algebraic expression of noncausal stable inversion based on the two-sided Laplace transform, which is a classic mathematical tool but has not been used very much in the field of control engineering. This expression brings an advantage that computing of stable inversion is reduced to simulation of the response of the plant and the reverse of time horizon without solving th...

Block-banded matrices generalize banded matrices. We study the properties of positive definite full matrices whose inverses are -block-banded. We show that, for such matrices, the blocks in the -block band of completely determine ; namely, all blocks of outside its -block band are computed from the blocks in the -block band of . We derive fast inversion algorithms for and its inverse that, when...

For this work, our main purpose is to obtain a better understanding of the Earth’s 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 a ...