Optical flow equations

Optical flow equations describe how pixels move between two consecutive images, capturing motion in a scene. They are based on the assumption that the brightness of a point remains constant over time, meaning that as an object moves, its appearance doesn't change instantaneously. Mathematically, this results in an equation linking the change in brightness to the movement in the x and y directions, along with the speed of that movement. These equations help determine the direction and velocity of objects in videos, enabling applications like motion tracking, video stabilization, and computer vision tasks.