零化滤波器

Three kernels, one assembly

Why the output is exactly zero

A bank nulls chosen movers

The payoff and the open question

You want a filter that nulls motion at exactly $v_x = 1$, $v_y = 0$ pixels per frame. Which kernel do you assemble?

A scene holds a jogger moving right at 2 pixels per frame and a dog moving left at 1 pixel per frame. You convolve with the nulling filter tuned to $v_x = 2$. What does the output show?

A nulling filter is assembled as $h = g_t + v_x g_x + v_y g_y$ and you build it with $v_x = 1$ and $v_y = 0$, so $h = g_t + g_x$. Objects moving right at how many pixels per frame produce identically zero output?