In a wireless keyboard-video-mouse (“KVM”) system in which a remote computer accesses the video output data of a target computer, a method of providing video data from the target computer to the remote computer, a method includes compressing at least some of the video data using a line fitting compression scheme to produce at least one sequence of absolute coded pixel segments and relative coded pixel segments which combine to represent the video data; and providing the sequence of absolute coded pixel segments and relative coded pixel segments to the remote computer.