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  2. Minimum bounding rectangle - Wikipedia

    en.wikipedia.org/wiki/Minimum_bounding_rectangle

    A series of geometric shapes enclosed by its minimum bounding rectangle. In computational geometry, the minimum bounding rectangle (MBR), also known as bounding box (BBOX) or envelope, is an expression of the maximum extents of a two-dimensional object (e.g. point, line, polygon) or set of objects within its x-y coordinate system; in other words min(x), max(x), min(y), max(y).

  3. Minimum bounding box - Wikipedia

    en.wikipedia.org/wiki/Minimum_bounding_box

    A sphere enclosed by its axis-aligned minimum bounding box (in 3 dimensions) In geometry, the minimum bounding box or smallest bounding box (also known as the minimum enclosing box or smallest enclosing box) for a point set S in N dimensions is the box with the smallest measure (area, volume, or hypervolume in higher dimensions) within which all the points lie.

  4. Minimum bounding box algorithms - Wikipedia

    en.wikipedia.org/wiki/Minimum_bounding_box...

    The minimum bounding box of a regular tetrahedron The minimal enclosing box of the regular tetrahedron is a cube, with side length 1/ √ 2 that of the tetrahedron; for instance, a regular tetrahedron with side length √ 2 fits into a unit cube , with the tetrahedron's vertices lying at the vertices (0,0,0), (0,1,1), (1,0,1) and (1,1,0) of the ...

  5. R-tree - Wikipedia

    en.wikipedia.org/wiki/R-tree

    The key idea of the data structure is to group nearby objects and represent them with their minimum bounding rectangle in the next higher level of the tree; the "R" in R-tree is for rectangle. Since all objects lie within this bounding rectangle, a query that does not intersect the bounding rectangle also cannot intersect any of the contained ...

  6. Bounding volume - Wikipedia

    en.wikipedia.org/wiki/Bounding_volume

    If non-convex bounding volumes are required, an approach is to represent them as a union of a number of convex bounding volumes. Unfortunately, intersection tests become quickly more expensive as the bounding boxes become more sophisticated. A bounding box or minimum bounding box (MBB) is a cuboid, or in 2-D a rectangle, containing the object.

  7. List of combinatorial computational geometry topics - Wikipedia

    en.wikipedia.org/wiki/List_of_combinatorial...

    Minimum bounding box (Smallest enclosing box, Smallest bounding box) 2-D case: Smallest bounding rectangle (Smallest enclosing rectangle) There are two common variants of this problem. In many areas of computer graphics, the bounding box (often abbreviated to bbox) is understood to be the smallest box delimited by sides parallel to coordinate ...

  8. Shapefile - Wikipedia

    en.wikipedia.org/wiki/Shapefile

    Minimum bounding rectangle (MBR) of all shapes contained within the dataset; four doubles in the following order: min X, min Y, max X, max Y 68–83: double: little: Range of Z; two doubles in the following order: min Z, max Z 84–99: double: little: Range of M; two doubles in the following order: min M, max M

  9. Priority R-tree - Wikipedia

    en.wikipedia.org/wiki/Priority_R-tree

    The prioritized R-tree is essentially a hybrid between a k-dimensional tree and a R-tree in that it defines a given object's N-dimensional bounding volume (called Minimum Bounding Rectangles – MBR) as a point in N-dimensions, represented by the ordered pair of the rectangles.