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  2. Jacobi coordinates - Wikipedia

    en.wikipedia.org/wiki/Jacobi_coordinates

    The position coordinates x j and x k are replaced by their relative position r jk = x j − x k and by the vector to their center of mass R jk = (m j q j + m k q k)/(m j + m k). The node in the binary tree corresponding to the virtual body has m j as its right child and m k as its left child. The order of children indicates the relative ...

  3. Coordinate system - Wikipedia

    en.wikipedia.org/wiki/Coordinate_system

    The coordinate of a point P is defined as the signed distance from O to P, where the signed distance is the distance taken as positive or negative depending on which side of the line P lies. Each point is given a unique coordinate and each real number is the coordinate of a unique point. [4] The number line

  4. Geometric hashing - Wikipedia

    en.wikipedia.org/wiki/Geometric_hashing

    In an off-line step, the objects are encoded by treating each pair of points as a geometric basis. The remaining points can be represented in an invariant fashion with respect to this basis using two parameters. For each point, its quantized transformed coordinates are stored in the hash table as a key, and indices of the basis points as a ...

  5. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    In geometry, a Cartesian coordinate system (UK: / k ɑːr ˈ t iː zj ə n /, US: / k ɑːr ˈ t iː ʒ ə n /) in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines ...

  6. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    In analytic geometry, the plane is given a coordinate system, by which every point has a pair of real number coordinates. Similarly, Euclidean space is given coordinates where every point has three coordinates. The value of the coordinates depends on the choice of the initial point of origin.

  7. Abscissa and ordinate - Wikipedia

    en.wikipedia.org/wiki/Abscissa_and_ordinate

    For any point, the abscissa is the first value (x coordinate), and the ordinate is the second value (y coordinate). In mathematics , the abscissa ( / æ b ˈ s ɪ s . ə / ; plural abscissae or abscissas ) and the ordinate are respectively the first and second coordinate of a point in a Cartesian coordinate system : [ 1 ] [ 2 ]

  8. Denavit–Hartenberg parameters - Wikipedia

    en.wikipedia.org/wiki/Denavit–Hartenberg...

    In this convention, coordinate frames are attached to the joints between two links such that one transformation is associated with the joint [Z ], and the second is associated with the link [X ]. The coordinate transformations along a serial robot consisting of n links form the kinematics equations of the robot: [] = [] [] [] [] …

  9. Wikipedia:Obtaining geographic coordinates - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Obtaining...

    Allows you to find coordinates with a place name search. Licensing: Geonet Names Server (GNS) Name search: U.S. National Geospatial-Intelligence Agency (NGA) maintains a comprehensive database of non-U.S. place data. The Libre Map Project: The purpose of the project is to aggregate and make digital maps and related GIS data available for free.