Potential field (represented by a number or tensor, that has a value for each point in space-time) combines attraction to the goal, and repulsion from obstacles in order to plan a path for an autonomous system.     most commonly used attractive potential function is:   where, ε is a positive scaling factor, p(q, qgoal)Continue Reading

Gradient is a vector that is made up from a the derivatives of multi-variate function. Gradient of an Image = ∇f = [∂f/∂x,∂f/∂y] The gradient of a function is the vector direction/angle of the most rapid increase in Intensity(Getting Brighter), and the magnitude of that vector is how much itContinue Reading

In order to compute Optical Flow there are two assumptions/constraints: Image moves in u(x cord) and v(y cord): The brightness(grayscale)/color consistency is same between the original image I ( x, y,t),  and the image in I ( x+u, y+v,t+1). The change in motion is almost zero(smooth), which means that the original IContinue Reading