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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).
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.
Several CAD programs rely on Open CASCADE Technology including: [28] FreeCAD an open source, 3D parametric modeler, with support for building information modeling, finite element method (FEM), and Python scripting. [29] [30] SALOME an open source platform for pre- and post-processing for numerical simulation.
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.
Data in R-trees is organized in pages that can have a variable number of entries (up to some pre-defined maximum, and usually above a minimum fill). Each entry within a non-leaf node stores two pieces of data: a way of identifying a child node, and the bounding box of all entries within this child node. Leaf nodes store the data required for ...
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 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.
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.