In the present study, the microstructural changes of a Nickel based superalloy Nimonic80A during a non-isothermal deformation were studied. Therefore, microstructure evolutionduring hot side pressing test was predicted with combined methods of finite element analysis andprocessing map of the material. The predicted results were validated through experimentalmicrostructural studies. The results ...

conclusions these studies will enable physicians to diagnose and follow up many cardiac diseases when this software is interfaced within echocardiographic machines. results myocardial fibers initiate from the posterior basal region of the heart, continue through the left ventricular free wall, reach the septum, loop around the apex, ascend, and end at the superior-anterior edge of the left vent...

We propose regularization schemes for deformable registration and efficient algorithms for their numerical approximation. We treat image registration as a variational optimal control problem. The deformation map is parametrized by its velocity. Tikhonov regularization ensures well-posedness. Our scheme augments standard smoothness regularization operators based on H1- and H2-seminorms with a co...

We prove that, for every compact Kähler manifold, the period map of its Kuranishi family is induced by a natural L∞-morphism. This implies, by standard facts about L∞-algebras, that the period map is a “morphism of deformation theories” and then commutes with all deformation theoretic constructions (e.g. obstructions).

This work is focused on deformation activity mapping and monitoring using Sentinel-1 (S-1) data and the DInSAR (Differential Interferometric Synthetic Aperture Radar) technique. The main goal is to present a procedure to periodically update and assess the geohazard activity (volcanic activity, landslides and ground-subsidence) of a given area by exploiting the wide area coverage and the high co...

Given a collection of regions on a map, we seek a method of altering the regions over time so they are still visible when the map is scaled. This is formalized and brought to rigor as well-defined problems in homotopic deformation. We ask the regions to preserve topology, area-ratios and relative position as they change over time. A solution is conjectured, using differential methods, leading t...

The third author recently proved that the Shoikhet–Dolgushev L∞-morphism from Hochschild chains of the algebra of smooth functions on manifold to differential forms extends to cyclic chains. Localization at a solution of the Maurer–Cartan equation gives an isomorphism, which we call character map, from the periodic cyclic homology of a formal associative deformation of the algebra of functions ...

In the proof of Proposition 8.3 the assertion was made that each ψ i (K i) was contained in some open (relative to A) set G i such that (83) holds. The case s = d follows from the hypothesis that A is contained in a d-dimensional C 1 manifold since in this case the sets K i may be chosen to be almost clopen relative to A. The case s > d is more delicate and requires an argument similar to that ...