a) Color maps of the GCD (top) and total lobe number (bottom) for selecting scanning frequencies along with the biaxial frequency domain. Scanning frequencies, which have GCD and total lobe numbers over 30 and 358, respectively, for 30 Hz frame rate and over 95% fill factor at 256 × 256 pixels. The selected frequencies are 5,040 Hz and 6,690 Hz and are represented in a dotted red box. The selected frequencies have GCD and the total lobe number equal to 30 and 391, respectively. b) The calculated trajectories at 256 × 256 pixels (top) and captured images of Lissajous patterns (bottom) with the selected frequency set along the scanning time. The Lissajous pattern fills the plane along the scanning time. c) A calculated fill factor along the scanning time at different pixel resolutions. The selected frequencies provide HDHF scanning with 95.4% fill factor at 1/30s at 256 × 256 pixels image.