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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.
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).
In computational geometry, the smallest enclosing box problem is that of finding the oriented minimum bounding box enclosing a set of points. It is a type of bounding volume. "Smallest" may refer to volume, area, perimeter, etc. of the box. It is sufficient to find the smallest enclosing box for the convex hull of the objects in question. It is ...
If the origin lies on a face of the bounding box, then for some it will happen that =, which is undefined (in IEEE 754 it is represented by NaN). However, implementations of the IEEE 754-2008 minNum and maxNum functions [ 5 ] will treat NaN as a missing value, and when comparing a well-defined value with a NaN they will always return the well ...
Some instances of the smallest bounding circle. The smallest-circle problem (also known as minimum covering circle problem, bounding circle problem, least bounding circle problem, smallest enclosing circle problem) is a computational geometry problem of computing the smallest circle that contains all of a given set of points in the Euclidean plane.
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. In dynamical simulation, bounding boxes are preferred to other shapes of bounding volume such as bounding spheres or cylinders ...
Quadtree compression of an image step by step. Left shows the compressed image with the tree bounding boxes while the right shows just the compressed image. A quadtree is a tree data structure in which each internal node has exactly four children.
The choice of bounding volume is determined by a trade-off between two objectives. On the one hand, bounding volumes that have a very simple shape need only a few bytes to store them, and intersection tests and distance computations are simple and fast. On the other hand, bounding volumes should fit the corresponding data objects very tightly.