Christine Perez added First_each_joint_was_surrounded__.tex  over 7 years ago

Commit id: 27209a6f9c2aeb654ea1d9d5f596e7261740411c

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First, each joint was surrounded by a 3-dimensional bounding volume. Each joint was sorted to determine which objects were overlapping. If two joints collide their orthogonal projections onto the xy, yz and xz-planes, and x-y and z-axes must overlap. Second, the researchers determined the size of each rectangular bounding box in their particular location. These were determined using the minimum, and maximum x,y, and z-coordinates of each joints. As the object moves, the minimum, and maximum coordinates were recomputed. This algorithm recomputes the coordinates of each joint in a bounding box at an expected constant rate. This approach was optimized further by determining which coordinates per joint are the researchers more interested wherein, the researchers used only the coordinates of the joint that matters in a certain gesture. So instead of recomputing all the 3d coordinates per joint, the arithmetic operation for computing the joint locations was lessened by two-thirds. Then, once a collision to a certain coordinate was determined, the gesture was recorded as a hit, otherwise, miss.