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Topic: Coordinate axes

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	Coordinate Systems
		The Coordinate System (CS) topic discusses the portion of the Epicentre data model which describes the methods by which the position of seismic lines, drilling locations, pipelines, etc. is specified within a system of coordinates.
		Coordinates of a two dimensional Geographic_coordinate_system are specified in units of degrees, latitude and longitude.
		The three coordinate axes, x, y, and z, are aligned to particular axes of a mathematical Ellipsoid.
	www.posc.org /Epicentre.2_2/DataModel/SubjectDiscussions/lb_cs.html (2659 words)

	Coordinate system - Wikipedia, the free encyclopedia
		Changing the basis is a coordinate transformation, a linear transformation that can be summarized by a matrix, and is computationally the same as a mapping of points to other points keeping the bases the same: e.g.
		Curvilinear coordinates are a generalization of coordinate systems generally; the system is based on the intersection of curves.
		Intrinsic coordinates describe a point upon a curve by the length of the curve to that point and the angle the tangent to that point makes with the x-axis.
	en.wikipedia.org /wiki/Coordinate (1120 words)

	[No title]
		With NAD 27 this was accomplished by (1) specifying the coordinates of a single monumented station in Kansas, Meades Ranch, (2) specifying the geodetic azimuth from Meades Ranch to a nearby station, and (3) imposing the condition that the z axis be parallel to the mean rotation axis of the Earth.
		The existance of these large errors relative to the NAD 27 coordinate axes did not cause a major problem for users because, with conventional surveying methods, users were only interested in the accuracy of their differential coordinates relative to the reference stations in their immediate area not relative to the NAD 27 coordinate axes.
		Three dimensional coordinates are computed by NGS for these reference stations on a daily basis to continuously monitor their position at about the 0.03 foot accuracy level relative to the NAD 83 coordinate axes and, therefore, relative to one another.
	www.dot.co.pima.az.us /gis/data/about/nad27problem.htm (3118 words)

	[No title]
		The coordinate axes are drawn in the margins surrounding the plotting area.
		The coordinates "-Inf" and "Inf" indicate the relative minimum and maximum of the axis (in this case the x-axis).
		A graph is composed of several components: coordinate axes, data elements, legend, grid, cross hairs, postscript, and annotation markers.
	www.ibiblio.org /gferg/ldp/man/mann/barchart.n.html (12580 words)

	Coordinate system - Open Encyclopedia (Site not responding. Last check: 2007-09-10)
		In mathematics as applied to geometry, physics or engineering, a coordinate system is a system for assigning a tuple of scalars to each point in an n-dimensional space.
		By convention the origin of the coordinate system in Cartesian coordinates is the point (0,0,...,0), which may be assigned to any given point of Euclidean space.
		a mapping of points to other points which distorts a rectangle to a parallelogram changes the coordinates the same as keeping the points in place but changing the basis vectors from being two sides of that parallellogram to perpendicular ones, two sides of that rectangle.
	open-encyclopedia.com /Coordinate (639 words)

	[No title]
		The coordinate axes are displayed in the margins around the plotting area.
		A strip chart is composed of several components: coordi nate axes, data elements, legend, grid, cross hairs, pens, postscript, and annotation markers.
		A strip chart is composed of several components: coordi nate axes, data elements, legend, grid, cross hairs, of configuration options and operations, the strip chart is partitioned, where each component has its own configu ration options and operations that specifically control that aspect or part of the strip chart.
	www.ibiblio.org /gferg/ldp/man/mann/stripchart.n.html (12022 words)

	Inertial Measurement Unit (IMU)
		The accelerometer triad, and angular rate sensors within the IMU are mounted such that their sensor coordinate axes are not aligned with those of the vehicle.
		This is due to the fact that the two sensors in the IMU are mounted in two different orientations in the housing, along with the fact that the axes of the IMU are not aligned with the vehicle axes.
		In interest of simplicity, the software first aligns the sensor axes using (2.1), and then uses the transformation matrix from (2.6) to transform the data of the accelerometer and angular rate sensors from IMU to vehicle coordinates.
	www.ssl.umd.edu /projects/RangerNBV/thesis/2-4-1.htm (640 words)

	Comments on standardization (Site not responding. Last check: 2007-09-10)
		One JCS axis should be a coordinate axis of the proximal segment, another should be a coordinate axis of the second segment, and the third should be perpendicular to the two.
		The segment axes are defined to be aligned with the global axes during standing.
		We may choose the global coordinate system, or one of the segmental coordinate systems, to represent the components of M. However, when the calculations are finished, is might be good for presentation purposes to decompose M into non-orthogonal com- ponents, corresponding to the orientation of the JCS axes at that instant.
	isb.ri.ccf.org /biomch-l/archives/biomch-l-1992-05/00049.html (2173 words)

	Virtual Skies: Aeronautics Tutorial: Motion (Site not responding. Last check: 2007-09-10)
		The center of the coordinate system is found at the centroid of the aircraft - roughly between the wings in the middle of the fuselage.
		The three axes intersect at the centroid at right (90 degree) angles to each other.
		These axes extend indefinitely from the center of the aircraft (see figure).
	virtualskies.arc.nasa.gov /aeronautics/tutorial/motion.html (1877 words)

	Principal Componenet Analysis in Remote Sensing
		The origin of the new coordinate system at the intersection of the red lines is different from the origin of the old coordinate system.
		For this case the new coordinate system that would be appropriate might be the one in which the origin is at the mean values for all the observations.
		The axes for the new coordinate system would be the major and minor axes of the data ellipse.
	www.sjsu.edu /faculty/watkins/princmp.htm (1654 words)

	Functional Corrections and Axes Coupling in FITS WCS
		The way axes are coupled is by assigning the same multivariate distortion correction to the intermediate coordinates of all the coupled axes while allowing the final ideal intermediate coordinates to be transformed to the final world coordinates through the independent or ideally coupled (e.g.
		The fact that all three axes have "-PLY" indicates that the intermediate coordinates are transformed by a polynomial function of the three coordinates before applying the ideal projection or transformation.
		In this case the first function, PLYa, would have two independent variables from the spatial axes (see section 4 to see that there are actually three variables where the third variable is the cartisian radius of the other variables) and the second function would be a function of only the wavelength axis.
	iraf.noao.edu /projects/fitswcs/dcf.html (3990 words)

	[No title] (Site not responding. Last check: 2007-09-10)
		This relationship, however, can be expressed either as an additional lines, connecting the coordinate axes,(crossing the origin of the unit circle), or the relationship between opposite coordinate pairs can be combined to form a surface between the coordinate axes.
		Because the milk carton plot is based upon the parallel coordinate axes plot, the module that plot was used as a basis code.
		In parallel coordinate axis plots, there is a noted duality in that an intersection of lines in parallel coordinate plots corresponds to a void region in Cartesian coordinate plots of the same data.
	www.science.gmu.edu /~tmclean/parallel3d.html (3003 words)

	Space-Time Coordinate Metadata for the Virtual Observatory
		We shall refer to these as the STC coordinates. The issue is that time is bound to a position and positions are time-variable. Similarly, spectral and redshift data are tied to reference frames that may or may not be time-variable.
		The numeric elements, other than the Coordinate Value, may appear singly or in pairs. In the former case it will be obvious that a single specific value in indicated. In the latter case the pair indicates a range of values.
		The boundaries are considered part of the region. The inside of the region is defined as that part of coordinate space that is encircled by the polygon in a counter-clockwise sense. Direction ambiguities in longitude are solved by allowing the longitude coordinate to become negative and to exceed 360°.
	www.ivoa.net /Documents/WD/STC/STC-20050105.html (3280 words)

	Coordinate.h
		The Coordinate class defines the generic interface whereby a pixel position is converted to a world (sky, frequency, stokes,...) position and vice versa.
		Removed axes are handled (for example, a removed pixel axis with remaining corresponding world axis will correctly be converted to world using the replacement value).
		Axes specifies which axes of the Coordinate you wish to transform.
	aips2.nrao.edu /docs/trial/implement/Coordinates/Coordinate.html (2018 words)

	HotDog Express for AOL Hometown Document (Site not responding. Last check: 2007-09-10)
		The coordinate plane is formed by the intersection of the horizontal axis, denoted the x-axis, and the vertical axis, denoted the y-axis.
		The numbers in the ordered pair are called coordinates, with the first coordinate indicating the direction on the x-axis and the second coordinate indicating the direction on the y-axis.
		We can identify the coordinates of a point by counting the number of units a point is to the right or left of the y-axis and the number of units up or down from the x-axis.
	www.american.edu /edtech/john/kathie2.html (375 words)

	SparkNotes: Kinematics: Introduction to Relativistic Kinematics
		The most convenient way of dividing up space for them is also by drawing coordinate axes in the train and having a ticking clock.
		Thus the person on the ground and the person on the train divide up space in different ways; what appears stationary in the coordinates of the train will appear to be moving in the coordinates of the ground.
		What is meant by the "reference frame of the earth," for example, is just the set of coordinate axes in which the earth is stationary.
	www.sparknotes.com /physics/specialrelativity/kinematics/summary.html (526 words)

	Geophysical Coordinate Transformations
		In geographic coordinates, the dipole is at 11.435
		We note that this transformation usually is particularly straight forward from geographic coordinates because the geographic latitude and longitude of a point of observation is often known and the dipole is fixed in geographic coordinates.
		For example, one may wish to define a coordinate system in which the solar wind flow is parallel to one of the coordinate axes.
	www-ssc.igpp.ucla.edu /personnel/russell/papers/gct1.html (4587 words)

	ISO/IEC 10744 - 9.3 Finite coordinate space
		Each fcs element defines a set of coordinate axes, each of which is associated with a single measurement domain.
		NOTE 267 Throughout this international standard, the lowercase name "fcs" means "finite coordinate space element", and the uppercase "FCS" means the logical (that is, semantic) finite coordinate space represented as nodes in a grove after all HyTime processing has been completed.
		One or more axes of a finite coordinate space may be calibrated with respect to an external context.
	www.y12.doe.gov /sgml/wg8/docs/n1920/html/clause-9.3.html (1506 words)

	Accudraw - a Floating Cordinate System
		As you move in a given direction, the blinking cursor of the coordinate input field (to type in numerical distances) switches back and forth between the X and Y axes, depending on which you are moving the mouse near.
		A coordinate system is a quantifiable definition of three dimensional space as defined by a starting point, called the Origin, and a set of cartesian axes propogating outward from that starting point.
		A Z axis is implied by the locations of the X and Y axes, but the plane itself does not propogate in Z. Anything you draw on the plane is flat.
	urban.arch.virginia.edu /~ejm9k/arch541/Handouts/accudraw.html (2327 words)

	Re: Subject of coordinate axes (Site not responding. Last check: 2007-09-10)
		As stated by Dr.Hatze's summary obviously one cannot have a 3D coordinate system were the optical axes of both cameras are coincident especially as the cameras have to view the same object and therefore their axes converge.
		I agree with the people who have suggested that the coordinate system should not be defined to any specific system, especially as different applications such as force plate systems and motion analysis systems often use different coordinate conventions.
		When using a 3D coordinate system the orientation of the axes should be clearly defined.
	isb.ri.ccf.org /biomch-l/archives/biomch-l-1995-10/00092.html (589 words)

	3D Animation Workshop: Lesson 10: Intersecting Spaces - webreference.com
		In this sense, the scene is identified with a 3-D COORDINATE SPACE with an origin (0,0,0) and three coordinate axes (x,y and z).
		Its surface is defined by points in that coordinate space, and there is necessarily a center, an origin at (0,0,0), for that space.
		Each local coordinate system, associated with each model, is then superimposed on the "global" coordinate system of the scene.
	www.webreference.com /3d/lesson10 (675 words)

	Transforming to Projected Sky Coordinate (Site not responding. Last check: 2007-09-10)
		The coordinate system of the FITS file data array, will, in general, be determined by the geometry of the instrumentation; consequently, the direction of the axes in the FITS file will need to be transformed to a coordinate system more natural to the physical system being measured.
		The PC matrix technique permits considerable flexibility in transforming between axes, including axes that are not orthogonal.
		Suppose the first two axes are transposed, so that axis 2 in physical space corresponds to axis 1 in pixel space and vice versa.
	heasarc.gsfc.nasa.gov /docs/heasarc/fits/users_guide/node57.html (585 words)

	[No title] (Site not responding. Last check: 2007-09-10)
		The built-in coordinate system is constructed from two lines meeting at right angles at a point called the origin.
		All actions involving the coordinate sytem are controlled through the menus under the "Graph" menu.
		To enable this option, the coordinate axes must first be visible.
	archive.ncsa.uiuc.edu /Classes/MATH198/whubbard/GRUMC/geometryExplorer/help/graph (426 words)

	SUCCEED: Paper Abstract
		Coordinate Axes and Mental Rotation Tasks: A Dual-Coding Approach
		A study was conducted at North Carolina State University to determine the effectiveness of adding coordinate axes to a mental rotations task.
		Coordinate axes were added to a portion of the PSVT for the experimental group to determine if the axes provided contextual cues necessary to improve scores and response times.
	www.succeed.ufl.edu /search/seepaper.asp?paperid=74 (149 words)

	Overview (Site not responding. Last check: 2007-09-10)
		In a WRE, the probabilities of outcomes are represented by a unit vector in Hilbert space: the coordinate axes represent outcomes; the squares of projections of this vector on the axes yield the probabilities.
		The vector and the coordinate axes represent the experiment as a whole.
		But the coordinate axes form a definite set, and are no longer coordinate axes in a vector space.
	www.panix.com /~dave/quantum/recent/overview.html (758 words)

	celestial sphere on Encyclopedia.com (Site not responding. Last check: 2007-09-10)
		For these purposes, any astronomical object can be thought of as being located at the point where the line of sight from the earth through the object intersects the surface of the celestial sphere.
		In astronomical coordinate systems, the coordinate axes are great circles on the celestial sphere.
		In most systems of this type, the reference points are fixed on the sphere, so the two coordinates needed to locate a body are relatively constant.
	www.encyclopedia.com /html/c1/celest-sph.asp (337 words)

	Math 1010 on-line - Cartesian Coordinates (Site not responding. Last check: 2007-09-10)
		The Cartesian Coordinate System consists of a vertical and a horizontal number line that intersect perpendicularly at their origins.
		The location of a point can be described by two numbers that are obtained by projecting the point perpendicularly onto each of the coordinate axes.
		If the scales on the vertical and horizontal axes are the same then the distance between two points is just what you would measure with a ruler.
	www.math.utah.edu /online/1010/coord (537 words)

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