Multilayer thin films have been attracting attention for half-century due to many possible applications ranging from protective coating to Laser Diodes. State of the art production techniques, made it possible to deposit highquality multilayered thin films with atomically precise interfaces between different materials, including complex oxides with large and complicated unit cells [1]. Despite ...

The present paper discusses the di↵usion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our result applies for instance to the case of radiative transfer in a composite medium with optically thin inclusions in an optically thick background medium. The equation governing the evolution of the approximate particle...

Warping is one of the key areas of image analysis but there has been no understanding of the effects of different non-linear deformations in literature. This paper addresses the problem of the distortion effect produced by different types of non-linear deformation strategies on textured images. The images are modelled by a Gaussian random field. We first give various examples to illustrate that...

The effects of both external squeezing and internal pressure pulsations are studied on flow and heat transfer inside non-isothermal and incompressible thin films supported by soft seals. The laminar governing equations are non-dimensionalized and reduced to simpler forms. The upper plate displacement is related to the internal pressure through the elastic behavior of the supporting seals. The f...

Suday, Sptem er 5, 2016 significantly increases the risk of postoperative vaginal stenosis. This paper proposes a simple technique for the reconstruction of thin septa, utilising two interdigitating Y-flaps. The authors also present their 7-year experience of utilising this technique. Custom made illustrations and serial intraoperative photographs will accompany the podium presentation in order...

An algorithm for selection of knot point locations for approximation of functions from large sets of scattered data by least squares Thin Plate Splines is given. The algorithm is based on the idea that each data point is equally important in defining the surface, which allows the knot selection process to be decoupled from the least squares. Properties of the algorithm are investigated, and exa...

Ridge curves are important features in human vision (see Koenderink, 1990, p.295). In this paper we apply a simple algebraic criterion of Porteous (1994) to the problem of nding ridge curves in machine vision. This work provides a simpler approach than other existing methods (see for example, Thirion and Gourdon, 1992, and Hosaka, 1992). To identify ridge curves in practice on surface data it i...

A hypothesis that large-scale fracture of sea ice plates in the Arctic could be caused by the release of energy of thermal bending moments due to major temperature changes is advanced and examined. Bending propagation of a through-the-thiclrness crack along the floating plate, with negligible inertial forces, is analyzed, asswning the moment field in the plate near the traveling crack front and...

Shape correspondence, which aims at accurately identifying corresponding landmarks from a given population of shape instances, is a very challenging step in constructing a statistical shape model such as the Point Distribution Model. Many shape correspondence methods are primarily focused on closedsurface shape correspondence. The authors of this chapter discuss the 3D Landmark Sliding method o...

Common elastic registration schemes based on landmarks and radial basis functions (RBFs) such as thin-plate splines or multiquadrics are global. Here, we introduce radial basis functions with compact support for elastic registration of medical images which have an improved locality, i.e. which allow to constrain elastic deformations to image parts where required. We give the theoretical backgro...