We define a notion of inversion valid in the general metric space setting. We establish several basic facts concerning inversions; e.g., they are quasimöbius homeomorphisms and quasihyperbolically bilipschitz. In a certain sense, inversion is dual to sphericalization. We demonstrate that both inversion and sphericalization preserve local quasiconvexity and annular quasiconvexity as well as unif...

Ground-based optical observation of GEO space debris plays an essential role in tracking, identifying, cataloging, and classifying debris. The factors that affect the brightness include size, surface material, illumination geometry, attitude, shape, position, so on. In order to better understand influence above on debris, synthetic light curves are analyzed. Ashikhmin–Shirley model is chosen si...

During the last few years, the steady increase in the quantity and quality of the data concerning tsunamis has led to an increasing interest in the inversion problem for tsunami data. This work addresses the usually ill-posed problem of the hydrodynamical inversion of tsunami tide-gage records to infer the initial sea perturbation. We use an inversion method for which the data space consists of...

Background T1-mapping has great diagnostic potential based on tight normal ranges and excellent sensitivity to disease. Numerically, T1 calculation hinges on the inversion time (TI) from the inversion preparation to the centre of k-space for each T1-weighted image. In the original ShMOLLI sequence (Piechnik JCMR 2010, 12:69) based on “Work In Progress” WIP561 MOLLI, the TI calculation was offse...

The present investigation is concerned with the deformation of thermoporoelastic half space with incompressible fluid as a result of inclined load of arbitrary orientation. The inclined load is assumed to be linear combination of normal load and tangential load. The Laplace and Fourier transform technique are used to solve the problem. The concentrated force, uniformly distributed force and a m...

Finite-fault-slip inversions provide crucial information on earthquake rupture phenomena. Many slip-inversion methods exist and differ in how the rupture model is parameterized and which regularizations or constraints are applied (e.g., Ide, 2007, and references therein). Some methods are utilized even routinely for large earthquakes and published online (e.g., the U.S. Geological Survey websit...