Determination of 3D spinal kinematics without defining a local vertebral coordinate system

1999 ◽  
Vol 32 (12) ◽  
pp. 1355-1358 ◽  
Author(s):  
M.J Faber ◽  
H.C Schamhardt ◽  
P.R van Weeren
Keyword(s):  
Coordinate System ◽  
Spinal Kinematics

Technique for relation global reference system and local realization of global reference system by continuously operated reference stations

2020 ◽  
Vol 962 (8) ◽  
pp. 24-37
Author(s):  
V.E. Tereshchenko
Keyword(s):  
Coordinate System ◽  
Russian Federation ◽  
Reference System ◽  
Main Part ◽  
Precise Point Positioning ◽  
Global Coordinate System ◽  
Coordinate Systems ◽  
Novosibirsk Region ◽  
The Russian Federation

The article suggests a technique for relation global kinematic reference system and local static realization of global reference system by regional continuously operated reference stations (CORS) network. On the example of regional CORS network located in the Novosibirsk Region (CORS NSO) the relation parameters of the global reference system WGS-84 and its local static realization by CORS NSO network at the epoch of fixing stations coordinates in catalog are calculated. With the realization of this technique, the main parameters to be determined are the speed of displacement one system center relativly to another and the speeds of rotation the coordinate axes of one system relatively to another, since the time evolution of most stations in the Russian Federation is not currently provided. The article shows the scale factor for relation determination of coordinate systems is not always necessary to consider. The technique described in the article also allows detecting the errors in determining the coordinates of CORS network in global coordinate system and compensate for them. A systematic error of determining and fixing the CORS NSO coordinates in global coordinate system was detected. It is noted that the main part of the error falls on the altitude component and reaches 12 cm. The proposed technique creates conditions for practical use of the advanced method Precise Point Positioning (PPP) in some regions of the Russian Federation. Also the technique will ensure consistent PPP method results with the results of the most commonly used in the Russian Federation other post-processing methods of high-precision positioning.

Determination of surface crystallography of faceted nanoparticles using transmission electron microscopy imaging and diffraction modes

2009 ◽  
Vol 42 (3) ◽  
pp. 519-524 ◽  
Author(s):  
Song Li ◽  
Yudong Zhang ◽  
Claude Esling ◽  
Jacques Muller ◽  
Jean-Sébastien Lecomte ◽  
...  
Keyword(s):  
Electron Microscopy ◽  
Transmission Electron Microscopy ◽  
Coordinate System ◽  
Calculation Method ◽  
Microscopy Imaging ◽  
Plane Normal ◽  
Transmission Electron ◽  
Structure Of Nanoparticles ◽  
Normal Vectors

A general calculation method is proposed to characterize the crystalline planes and directions of a faceted nanoparticle using transmission electron microscopy (TEM) imaging and diffraction modes. With the determination of the edge vectors and then the plane normal vectors in the screen coordinate system of TEM, their Miller indices in the crystal coordinate system can be calculated through coordinate transformation. The method is helpful for related studies of the determination of the surface structure of nanoparticles.

Applications of the Global Coordinate System

2011 ◽  
Author(s):  
Yves Balasko
Keyword(s):  
Coordinate System ◽  
Critical Points ◽  
Global Coordinate System ◽  
Coordinate Systems ◽  
Analytical Characterization ◽  
Equilibrium Manifold ◽  
System P ◽  
Definition Of

The global coordinate system for the equilibrium manifold follows from: (1) the determination of the unique fiber F(b) through the equilibrium (ρ‎, ω‎) where b = φ‎((ρ‎, ω‎) = (ρ‎, ρ‎ · ρ‎1, …, ρ‎ · ρ‎m); and (2) the determination of the location of the equilibrium (ρ‎, ω‎) within the fiber F(b) viewed as a linear space of dimension (ℓ − 1)(m − 1) and, therefore, parameterized by (ℓ − 1)(m − 1) coordinates. If there is little leeway in determining the fiber F(b) through the equilibrium (ρ‎, ω‎), there are different ways of representing the equilibrium (ρ‎, ω‎) within its fiber F(b). This leads to the definition of coordinate systems (A) and (B) for the equilibrium manifold. This chapter defines these two coordinate systems and applies them to obtain an analytical characterization of the critical equilibria, i.e., the critical points of the natural projection.

Automated pelvic anatomical coordinate system is reproducible for determination of anterior pelvic plane

2013 ◽  
Vol 16 (9) ◽  
pp. 937-942 ◽  
Author(s):  
Shinya Hayashi ◽  
Takayuki Nishiyama ◽  
Takaaki Fujishiro ◽  
Noriyuki Kanzaki ◽  
Nao Shibanuma ◽  
...  
Keyword(s):  
Coordinate System ◽  
Anterior Pelvic Plane

Determination of Crystallographic Elements (Dislocation and Surface Plane) from Automated TEM Orientation Determination

2011 ◽  
Vol 702-703 ◽  
pp. 866-871
Author(s):  
Yu Dong Zhang ◽  
Shi Ying Wang ◽  
Claude Esling ◽  
Xiang Zhao ◽  
Liang Zuo
Keyword(s):  
Crystal Structure ◽  
Coordinate System ◽  
Dislocation Line ◽  
Nano Particles ◽  
Calculation Methods ◽  
Burgers Vector ◽  
Plane Normal ◽  
Normal Vectors ◽  
Orientation Determination

Abstract In the present work, we summarized two calculation methods to determine some specific crystallographic elements based on electron diffraction orientation measurements performed by TEM. The first one is to determine the type and the Burgers vector of dislocations for a known crystal structure. The method calculates the orientation of the projections of all the possible dislocation line vectors in the TEM screen coordinate system using the determined crystallographic orientation of the grain and then compares them with the observed ones to identify the observed dislocations. The second is to characterize the surface crystalline planes and directions of faceted nano-particles. With the determination of the edge trace vectors and then the plane normal vectors in the screen coordinate system of the TEM, their Miller indices in the crystal coordinate system can be calculated through coordinate transformation. These methods are expected to facilitate the related studies.

scholarly journals Position determination of church belfries in the D96/TM coordinate system

2008 ◽  
Vol 62 (04) ◽  
pp. 587-603
Author(s):  
Aleš Marjetič ◽  
Polona Pavlovčič Prešeren
Keyword(s):  
Coordinate System ◽  
Position Determination

scholarly journals Determination of intersecting curve between two surfaces of revolution with parallel axes by use of auxiliary planes and auxiliary spheres

2002 ◽  
Vol 2 (4) ◽  
pp. 267-272
Author(s):  
Ratko Obradovic
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Coordinate System ◽  
Surfaces Of Revolution ◽  
Surface Of Revolution ◽  
First Case ◽  
Intersecting Curve

In this paper the space intersecting curve between two surfaces of revolution with parallel axes of surfaces have been determined. Two mathematical models for determination of intersecting curve between two surfaces of revolution have been formed: auxiliary planes have been used in the first mathematical model and auxiliary spheres have been used in the second model (Obradovic 2000). In the first case each auxiliary plane intersected with each surface of revolution on circle and two points of intersecting curve are obtained as intersecting points between these two circles. In the second case centres of two locks of auxiliary spheres are put on axes of surfaces of revolution (centre of first lock is on axis of the first surface of revolution and centre of second lock is on axis of the second surface of revolution) on saine z coordinate (when axes of surfaces of revolution are parallel with z axis of coordinate system). First lock sphere intersects the first surface of revolution on w1 parallels and second lock corresponding sphere intersects the second surface of revolution on w2 circles. It is possible to find a relationship that for selected radius of the first lock sphere can determine the radius of second lock sphere and real points of intersecting curve have been determined by use of these two spheres. The points of intersecting curve between two surfaces of revolution are obtained by intersection between w1 circles from the first surface with w2 circles from the second surface (Obradovic 2000).

scholarly journals Numerical effects of gravitational light deflection on the determination of the equinox and equator

1986 ◽  
Vol 114 ◽  
pp. 205-211
Author(s):  
J. A. Hughes ◽  
D. K. Scott ◽  
C. A. Smith
Keyword(s):  
Coordinate System ◽  
Proper Motion ◽  
Minor Planets ◽  
The Sun ◽  
Light Deflection ◽  
Proper Motions ◽  
Motion System ◽  
Celestial Equator ◽  
The Right

Observations of the sun and major and minor planets made by transit circle telescopes are used to determine positions of the equinox and the celestial equator and, by repeated observing programs, the motions of these fiducial references. Long series of such absolute observations, when combined into catalogs such as the FK5, yield a fundamental coordinate system which is an observational approximation to an ideal, dynamically defined coordinate system. In such a system the equinox, for example, is defined implicitly by the right ascensions (at mean epoch) and the proper motions of the stars included in the catalog system, together with the adopted constant of precession. It may be noted that independent, highly accurate determinations of the latter quantity thus help to improve the fundamental proper motion system.

Novel transient multicomponent induction logging method for the determination of dip angle and anisotropy of formation

Geophysics ◽  
2020 ◽  
Vol 85 (6) ◽  
pp. D181-D197
Author(s):  
Xiyong Yuan ◽  
Shaogui Deng ◽  
Yiren Fan ◽  
Xufei Hu ◽  
Zhenguan Wu ◽  
...  
Keyword(s):  
Coordinate System ◽  
Measurement Errors ◽  
Dipole Moments ◽  
Algebraic Method ◽  
Inversion Process ◽  
True Value ◽  
Induction Logging ◽  
Dip Angle ◽  
Source Dipole

The relative dip angle and anisotropy of the anisotropic formation are generally determined through an inversion process. We have studied the responses of the novel transient multicomponent induction logging method and find that all of the components measured in the instrument coordinate system have the same decay with time. However, the cross component decays much faster than the coaxial or coplanar components in the formation coordinate system. We adopt an algebraic time-domain method to calculate the dip angle and anisotropy coefficient and thereby avoid the inversion process. The accuracy and applicability of this pseudoinversion method are studied theoretically. Numerical results demonstrate that coaxial, coplanar, and cross components are used to calculate the apparent relative dip angle that yields the exactly true value at very early times and then goes through a transition deviating from the true dip and gradually approaches the true value again at late times. The apparent anisotropy is calculated by the coaxial and coplanar components and is equal to zero at early times and nonzero to the true anisotropy during the transition times. Moreover, by using realistic source dipole moments as well as adding random measurement errors, the practicality of this algebraic method is also investigated. Determination of the relative dip is still stable and valid. Determination of the anisotropy is more easily affected by measurement error and has some application limitations.

Sign in / Sign up

Export Citation Format

Share Document