1. Consider an image irradiauce sequence Em, gut) in continuous space (3:, y) and time (t) E($,y,t):sin(a:t)+l Ug$2m Ogyg2w, iii!) a) Determine the components of the optical ow vector 2:;(33, y, t) and U(:I:, y, t) for this sequence. Explain your reasoning. b) Write down the optical ow constraint equation. c) Compute the time and space derivatives of image irradiance that appear in the optical ow constraint equation for the function given above. d) Use your answers to the previous parts to show that the optical ow constraint equation holds for all m, y, t. e) For the optical ow computed in part a), compute the smoothness integral r3503) : [/(u: + 133+ 1.}: + 1):)dmdy