In order to understand the parallel computation of optic flow, we introduce here a novel algorithm for computing the flow field at certain locations in the image. These locations are on the gradient edges, which Brady calls seeds [1] . Our Curve Motion Constraint Equation provides an additional constraint to fully and locally estimate the flow field at seeds. Our initial computational experiments have used the improved local flow as the initial input to Hildreth's algorithm. Now we are exploring an algorithm to perform the whole computation in parallel.