BSNS102 Study Guide - Final Guide: Coordinate Space, Rotations In 4-Dimensional Euclidean Space, Rotation Matrix

• School: University of Otago
• Department: Business Studies
• Course: BSNS102
• Professor: Drew Stelljes

Document Summary

In this figure, we have introduced a rifle that is firing a bullet at the car. As indicated by the coordinate space on the left, we would normally begin by knowing about the gun and the trajec- tory of the bullet in world space. Now, imagine transforming the coordinate space in line with the car"s object space while keeping the car, the gun, and the trajectory of the bullet still. Now we know the position of the gun and the trajectory of the bullet in the object space of the car, and we could perform intersection tests to see if and where the bullet would hit the car. For now, don"t worry about the details of actually performing the transformations; that"s what the remainder of this chapter is for. Just remember that we can transform an object, or we can transform a coordinate space. Some- times one or the other is more appropriate.