Abstract: A half-pixel accuracy fast search algorithm in video coding performs a hierarchical search method for motion, which initially searches integer accuracy motion vector and then continues its search sub-pixel accuracy over surrounding reconstructed sub-pixels of the integer motion vector. The term hierarchical connotes that the algorithm first calculates a minimum integer pixel location and then performs a sub-integer pixel search. The present invention obtains the integer pixel value with the lowest MAD value and then interpolates conjugate half-pixel values in a first direction. The algorithm determines which half-pixel value yields the lowest MAD value and then interpolates conjugate half-pixel values in a second direction from the previously calculated minimum MAD half-pixel location from the first direction.