Consider an orthogonal polyhedron, i.e., a polyhedron where (at least after a suitable rotation) all faces are perpendicular to a coordinate axis, and hence all edges are parallel to a coordinate axis. Clearly, any facial angle (i.e., the angle of a face at an incident vertex) is a multiple of π/2. Also, any dihedral angle (i.e., the angle between two planes that support to faces with a common ...

Die selbständige und eigenhändige Anfertigung versichere ich an Eides statt. Introduction Discretization of curvature line parametrized surfaces and, more general, orthogonal coordinate systems is an important topic in Discrete Differential Geoemtry. In this thesis we present such a discretization in R 3 , so-called cy-clidic nets, which have a strong relation to circular nets, a previously kno...

Wave-equation migration using one-way wavefield extrapolation operators is commonly used in industry to generate images of complex geologic structure from 3D seismic data. By design, most conventional wave-equation approaches restrict propagation to downward continuation, where wavefields are recursively extrapolated to depth on Cartesian meshes. In practice, this approach is limited in high-an...

A new method is presented for solving equivalence problems for the extended jet of nite order of the scale space corresponding to a 2-dimensional input image and the groups of spatially homogeneous aane and orthogonal transformations of local cartesian coordinate frames. By means of this method complete and irreducible sets of algebraic invariants are found that may describe any local and (or) ...

We give a basis of bideterminants for the coordinate ring K[O(n)] of the orthogonal group O(n, K), where K is an infinite field of characteristic not 2. The bideterminants are indexed by pairs of Young tableaux which are O(n)-standard in the sense of King-Welsh. We also give an explicit filtration of K[O(n)] as an O(n, K)-bimodule, whose factors are isormorphic to the tensor product of orthogon...

In this paper, the simulation model of satellite attitude and orbit dynamics is discussed. The satellite attitude model has been represented in term of a quaternion and a ordinary differential equation is used to describe the satellite orbital motion. The different actuators and sensors have been modeled with suitable faults and failures. The simulation model enables us to consider the satellit...

Brachytherapy used in local cervical cancer is still widely based on 2D standard dose planning with the prescription to point A, which is invisible on imaging and located at a high-dose gradient. In this study, the geometric location error of point A was investigated. It is traditionally reconstructed in the treatment planning system after carefully digitizing the point marks that were previous...

It is convenient to think of an object's location as a point within a Cartesian framework; the x axis corresponds to right and left, the y axis to up and down, and the z axis to forward or backward. When an observer is looking straight ahead, binocular disparities provide information about distance along the z axis from the fixation plane. In this coordinate system, changes in disparity are tre...

Geosynchronous (GEO) spaceborne–airborne very high-frequency ultra-wideband bistatic synthetic aperture radar (VHF UWB BiSAR) can conduct high-resolution and wide-swath imaging for ocean scenes. However, GEO VHF BiSAR faces some challenges such as the geometric configuration, huge amount of echo data, serious range–azimuth coupling, large spatial variance, complex motion error, which increases ...