Table of Contents
What is the need for space partitioning representation?
Space partitioning is particularly important in computer graphics, especially heavily used in ray tracing, where it is frequently used to organize the objects in a virtual scene. A typical scene may contain millions of polygons.
How does binary space partitioning work?
Overview. Binary space partitioning is a generic process of recursively dividing a scene into two until the partitioning satisfies one or more requirements. For example, in computer graphics rendering, the scene is divided until each node of the BSP tree contains only polygons that can be rendered in arbitrary order.
How does a BSP tree work?
Simply, a BSP tree is a heirarchical subdivisions of n dimensional space into convex subspaces. Each node has a front and back leaf. BSP trees can be traversed very quickly (linear time) for hidden surface removal and shadow casting. With some work, BSP trees can be modified to handle dynamic events in a scene.
How is binary space partition implemented?
Binary Space Partitioning is implemented for recursively subdividing a space into two convex sets by using hyperplanes as partitions. This process of subdividing gives rise to the representation of objects within the space in the form of tree data structure known as BSP Tree.
Why are B+ trees preferred over binary trees in databases?
B+- trees are preferred to binary trees in databases because Disk data transfer rates are much less than memory data transfer rates.
What is a binary space partitioning tree used for?
A binary space partitioning tree is a partition of space used to impose an ordering over a set of polygons. The supporting plane p of one polygon is chosen as the root of the tree, and the other polygons are classified as lying either in front of p, behind p, or on p.
The whole BSP tree is constructed as a pre-processing step and at the time of program runs, the tree is processed at each run to calculate that which division space we are interacting with at runtime.
Is there an algorithm that produces a BREP from a BSP-tree?
In this paper we present such an algorithm, that takes as input a BSP-Tree representation for a polytope and produces a BRep as output. The difficulty in designing such algorithm comes from the fact that the information about the boundary is not explicitly represented in the BSP-Tree.
What is the difference between BSP tree and boundary representation?
Boundary representation (BRep) is a generally utilized representation of solid geometry, in view of the portrayal of a protest by its boundary, as an accumulation of faces, edges and vertices. A BSP tree is a hierarchical subdivision of n dimensional space into convex subspaces. In which each node has a back and a front leaf.