1. An apparatus for frame interpolation, the apparatus comprising: an initial motion vector determination unit to determine an initial motion vector of each of current blocks of an interpolation frame by performing forward motion estimation and backward motion estimation with respect to a current frame and a previous frame; a result motion vector determination unit to determine a result motion vector which includes a rotation element by rotating a block of the current frame and the previous frame being determined according to the initial motion vector; and a frame generation unit to generate the interpolation frame according to the result motion vector.