In this paper, the finite-difference time-domain (FDTD) method is applied to calculate the resonant frequency of dielectric resonators (DR’s) with curved surface. The contour-path integral FDTD (CFDTD) is modified to deal with the curved surface of the dielectric body while the traditional rectangular cells are maintained. Results are compared with theoretical values and staircase approximation...

In this note, we prove that any non-positively curved 2-dimensional surface (alias, Busemann surface) is isometrically embeddable into L1. As a corollary, we obtain that all planar graphs which are 1skeletons of planar non-positively curved complexes with regular Euclidean polygons as cells are L1-embeddable with distortion at most 2 + π/2 < 4. Our results significantly improve and simplify the...

The Moving Pictures Show is a contemporary Australian ‘silent’ film company that screens films produced in the period from 1912 to 1929, with a 9-piece orchestral accompaniment. This article explores the ways in which music is chosen for the show both to heighten the audience’s aesthetic experience of the film and to abide by historical practice. It also describes the ways in which improvisatio...

In this paper, we propose a wide-viewing-angle three-dimensional integral imaging using a curved screen and a curved lens array. Elemental images are projected to the curved screen. Incorporation of the curved screen and the curved lens array instead of a conventional flat display panel and a flat lens array expands the viewing angle remarkably. In addition adopting barriers between a curved le...

of a curved surface is the envelope of contour generators showing the boundary, at least locally, of the visible region swept out under viewer motion. In general, the outlines of curved surfaces (apparent contours) from di erent viewpoints are generated by di erent contour generators on the surface and hence do not provide a constraint on viewer motion. We show that points, however, have projec...

Based on characteristic of autobody panel, data processing and reconstructing curved surface are described in detail by the example of autobody panels making. The points cloud is obtained by laser three-dimensional scanner, and is treated by surfser software. Autobody reconstructing surfaces is achieved by reverse engineering. Fininshed surface model is made out of wax and processed in CNC mill...

A new method for the three-dimensional shape recovery from image focus is proposed. The method is based on approximation of the Focussed Image Surface (FIS) by a piecewise curved surface which tracks the realistic FIS in image space. The piecewise curved surface is estimated by interpolation using the Lagrangian polynomial. The new method has been implemented on a prototype camera system. The e...

Video mosaicing methods have been widely used for capturing high resolution document images with low resolution video cameras [1, 2]. In these methods, given a video where partial images of the target document are captured in each frame, pairwise registrations between two successive images are estimated, then, by warping all the images to a reference frame (in general, the first frame), a high ...

A new numerical framework is proposed to solve partial differential equations on curved surfaces by using the orthogonal moving frames at each grid point to compute the gradient of a scalar variable. We call this framework the method of moving frames (MMF) that is adopted and modified from the works of É. Cartan. Compared to the Eulerian method and the Lagrangian multiplier method, the MMF meth...

We present a real-space imaging study of homogeneous and heterogeneous crystal nucleation and growth in colloidal suspensions of slightly charged and polydisperse particles. Heterogeneous crystallization is observed close to curved surfaces with radii of curvature, R, in the range from 4 to 40 particle diameters, d. Close to a curved surface, we find crystal nucleation and growth to be suppress...