Pre-inversion normal fault geometry controls inversion style and magnitude, Farsund Basin, offshore southern Norway

Differential Geometry of Matrix Inversion

Essentially, there exists just the dimension segregating (square) matrix subspaces. In view of algebraic operations, this quantity is not particularly descriptive. For differential geometric information on matrix inversion, the second fundamental form is found for the set of inverses of the invertible elements of a matrix subspace. Several conditions for this form to vanish are given, such as b...

Imaging ocean-basin reverberation via inversion

A technique for imaging large areas of the ocean floor by inverting reverberation data is presented. Acoustic returns measured on a horizontally towed line array have fight-left ambiguity about the array's axis and decreasing cross-range resolution for off-broadside beams and more distant scattering sites. By optimal use of data taken with differing array locations and orientations, fight-left ...

Institute for Mathematical Physics Intermediate Inversion Formulas in Integral Geometry Intermediate Inversion Formulas in Integral Geometry

We solve the following \intermediate" problem of integral geometry: to reconstruct integrals of a function over p-dimensional planes in R n starting from its integrals over k-planes, where p < k. Some generalizations are also presented.

Geometry and kinematics of inversion tectonics

Fault-Tolerant Structured Adaptive Model Inversion Control

An adaptive dynamic inversion control formulation is presented that takes advantage of the inherent dynamic structure of the state-space description of a large class of systems. The formulations impose the exact kinematic differential equations, thereby restricting the adaptation process that compensates for model errors to the acceleration level. The utility of this formulation is demonstrated...