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In computer graphics, the slab method is an algorithm used to solve the ray-box intersection problem in case of an axis-aligned bounding box (AABB), i.e. to determine the intersection points between a ray and the box.
The axis-aligned minimum bounding box (or AABB) for a given point set is its minimum bounding box subject to the constraint that the edges of the box are parallel to the (Cartesian) coordinate axes. It is the Cartesian product of N intervals each of which is defined by the minimal and maximal value of the corresponding coordinate for the points ...
In many applications the bounding box is aligned with the axes of the co-ordinate system, and it is then known as an axis-aligned bounding box (AABB). To distinguish the general case from an AABB, an arbitrary bounding box is sometimes called an oriented bounding box (OBB), or an OOBB when an existing object's local coordinate system is used ...
Additionally, many specialized methods were developed for BVHs, especially ones based on AABB (axis-aligned bounding boxes), such as parallel building, SIMD accelerated traversal, good split heuristics (SAH - surface-area heuristic is often used in ray tracing), wide trees (4-ary and 16-ary trees provide some performance benefits, both in build ...
A false positive intersection in this case means that the bounding volume intersect but the actual objects do not. Different bounding volume types offer different trade-offs for these properties. Axis-Align Bounding Boxes (AABB) and cuboids are popular due to their simplicity and quick intersection tests. [9]
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.
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 ...
In geometry, an axis-aligned object (axis-parallel, axis-oriented) is an object in n-dimensional space whose shape is aligned with the coordinate axes of the space. Examples are axis-aligned rectangles (or hyperrectangles), the ones with edges parallel to the coordinate axes. Minimum bounding boxes are