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  2. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    A three dimensional Cartesian coordinate system, with origin O and axis lines X, Y and Z, oriented as shown by the arrows. The tick marks on the axes are one length unit apart. The black dot shows the point with coordinates x = 2, y = 3, and z = 4, or (2, 3, 4).

  3. Z-order curve - Wikipedia

    en.wikipedia.org/wiki/Z-order_curve

    The Z-ordering can be used to efficiently build a quadtree (2D) or octree (3D) for a set of points. [4] [5] The basic idea is to sort the input set according to Z-order.Once sorted, the points can either be stored in a binary search tree and used directly, which is called a linear quadtree, [6] or they can be used to build a pointer based quadtree.

  4. Translation of axes - Wikipedia

    en.wikipedia.org/wiki/Translation_of_axes

    This means that the origin O' of the new coordinate system has coordinates (h, k) in the original system. The positive x' and y' directions are taken to be the same as the positive x and y directions. A point P has coordinates (x, y) with respect to the original system and coordinates (x', y') with respect to the new system, where

  5. Quadtree - Wikipedia

    en.wikipedia.org/wiki/Quadtree

    The polygonal map quadtree (or PM Quadtree) is a variation of quadtree which is used to store collections of polygons that may be degenerate (meaning that they have isolated vertices or edges). [ 9 ] [ 10 ] A big difference between PM quadtrees and edge quadtrees is that the cell under consideration is not subdivided if the segments meet at a ...

  6. Abscissa and ordinate - Wikipedia

    en.wikipedia.org/wiki/Abscissa_and_ordinate

    In common usage, the abscissa refers to the x coordinate and the ordinate refers to the y coordinate of a standard two-dimensional graph. [1] [2]The distance of a point from the y axis, scaled with the x axis, is called the abscissa or x coordinate of the point.

  7. Rotation of axes in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_of_axes_in_two...

    A point P has coordinates (x, y) with respect to the original system and coordinates (x′, y′) with respect to the new system. [1] In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly.

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    mail.aol.com

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  9. Coordinatograph - Wikipedia

    en.wikipedia.org/wiki/Coordinatograph

    A coordinatograph is an instrument which mechanically plots X and Y coordinates onto a surface, such as in compiling maps [1] or in plotting control points such as in electronic circuit design. One historic application of a coordinatograph was a machine that precisely placed and cut rubylith to create photomasks for early integrated circuits ...