BSNS102 Study Guide - Final Guide: Bounding Volume, Time Complexity, Minimum Bounding Box
28 Jan 2021
School
Department
Course
Professor
Document Summary
Axially aligned bounding boxes are simpler to create and use, and they will be the focus of this section. A 3d aabb is a simple six-sided box with each side parallel to one of the cardinal planes. The box is not necessarily a cube the length, width, and height of the box may each be different. Figure 12. 10 shows a few simple 3d objects and their axially aligned bounding boxes. Let us introduce several important properties of an aabb and the notation we will use when referring to these values. The points inside an aabb satisfy the inequalities: The size vector s is the vector from pmin to pmax and contains the width, height, and length of the box: We can also refer to the radius vector r of the box, which is the vector from the center to pmax: To unambiguously define an aabb requires only two of the five vectors pmin, pmax, c, s, and r.
