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A bounding interval hierarchy (BIH) is a partitioning data structure similar to that of bounding volume hierarchies or kd-trees.Bounding interval hierarchies can be used in high performance (or real-time) ray tracing and may be especially useful for dynamic scenes.
Bounding interval hierarchy; Bounding volume hierarchy; BSP tree; Rapidly exploring random tree; Application-specific trees. Abstract syntax tree;
An example of a bounding volume hierarchy using rectangles as bounding volumes. A bounding volume hierarchy (BVH) is a tree structure on a set of geometric objects. All geometric objects, which form the leaf nodes of the tree, are wrapped in bounding volumes. These nodes are then grouped as small sets and enclosed within larger bounding volumes.
Bounding interval hierarchy; Branching factor; C. C-trie; Calkin–Wilf tree; Cardinal tree; Compressed cover tree; Conc-tree list; Cover tree; D. Dendrogram ...
R-tree and bounding interval hierarchy, structure for partitioning objects rather than points, with overlapping regions; Vantage-point tree, a variant of a k-d tree that uses hyperspheres instead of hyperplanes to partition the data; Problems that can be addressed with k-d trees:
Several key observation make the implementation efficient: Two bounding-boxes intersect if, and only if, there is overlap along all three axes; overlap can be determined, for each axis separately, by sorting the intervals for all the boxes; and lastly, between two frames updates are typically small (making sorting algorithms optimized for ...
To obtain bounding volumes of complex objects, a common way is to break the objects/scene down using a scene graph or more specifically a bounding volume hierarchy, like e.g. OBB trees. The basic idea behind this is to organize a scene in a tree-like structure where the root comprises the whole scene and each leaf contains a smaller subpart.
Bounding interval hierarchy; Bounding volume; Bounding volume hierarchy; Box modeling; C. Catmull–Clark subdivision surface; Cinematic rendering; Class A surface;