Coordinate system

About: Coordinate system is a research topic. Over the lifetime, 22675 publications have been published within this topic receiving 269822 citations. The topic is also known as: system of coordinates.

Coordinate Dependence of Chern-Simons Theory on Noncommutative AdS3

Abstract: We investigate the coordinate dependence of noncommutative theory by studying the solutions of noncommutative $U(1,1)\times U(1,1)$ Chern-Simons theory on $AdS_3$ in the polar and rectangular coordinates. We assume that only the space coordinates are noncommuting. The two coordinate systems are equivalent only up to first order in the noncommutativity parameter $\theta$. We investigate the effect of this non-exact equivalence between the two coordinate systems in two cases, a conical solution and a BTZ black hole solution, using the Seiberg-Witten map. In each case, the noncommutative solutions in the two coordinate systems obtained from the corresponding same commutative solution turn out to be different even in the first order in $\theta$.

Coordinate System Conversion Software User's Guide for Attitude, Quaternion, M50 and Related Applications

Abstract: : The Coordinate System Conversion Software is a collection of general purpose subroutines and functions which may be used to transform vector quantities from one coordinate system to another. The report describes these routines and gives several simple examples of their use. A section is devoted to derivations using NASA quaternion operations. These differ from what is used in other literature.

Instrument and method for measuring rotational amount of spherical body

Abstract: PURPOSE:To provide an instrument and method for measuring the rotational amount of spherical body by which the rotational amount of a spherical body can be found with respect to each axis of a three-dimensional coordinate system with high precision from videos recorded in one direction only CONSTITUTION:A recording means 2 which takes a plurality of still circular pictures from a rotating spherical body 1 in one direction and records the pictures, a measuring means 3 which measures the positions of prescribed two points in the circular pictures recorded in the recording means 2, and, an arithmetic means 4 which calculates the rotational amount of the spherical body 1 based on the positions of the prescribed two points in the circular pictures, are provided The arithmetic means 4 calculates the rotational amount of the spherical body 1 with respect to each axis of a three-dimensional coordinate axis

Method for calibrating camera parameters in flame emission tomography system

Abstract: The invention discloses a method for calibrating camera parameters in a flame emission tomography system. Spatial location parameters and an image distance of a camera are calibrated by virtue of a three-dimensional camera calibration template; a plurality of sampling points and character graphics for indicating focusing control of the camera are arranged on the surface of the three-dimensional camera calibration template; the method specifically comprises the following steps: (1) building a relationship between a world coordinate system and a camera coordinate system and a relationship between the work coordinate system and a camera imaging surface coordinate system; (2) collecting an image of the calibration template by the camera, and calculating the coordinate of the sampling point in the imaging surface; (3) calculating the spatial location parameters of the camera by virtue of the coordinate relationship in the step (1) according to the world coordinate of the collecting point and the imaging surface coordinate in the step (2); (4) wherein imaging of the focus point in the camera meets the lens imaging formula, solving the image distance of the camera by virtue of the world coordinate and the imaging plane coordinate of the focus point. The method is simple and convenient to operate; the calibration result is relatively accurate; the camera with a relatively wide distribution range is calibrated by virtue of the three-dimensional camera calibration template; the camera calibration range is wide.

Box body measuring method and measuring device

Abstract: The invention provides a box body measuring method and measuring device. The method comprises: collecting a two-dimensional map and a depth map containing the box body; obtaining two-dimensional coordinates of the plurality of vertices of the box body in a two-dimensional coordinate system from the two-dimensional map containing the box body; converting the two-dimensional coordinates of the plurality of vertices of the box body into three-dimensional coordinates in a world coordinate system according to the depth map of the box body and the intrinsic parameter matrix of a camera; and calculating the volume of the box body according to the three-dimensional coordinates of the plurality of vertices of the box body. The measuring device and the measuring method provided by the invention canquickly and accurately measure the size of the box.