This figure shows an overview of out approach. (top)
Background images are kept at multiple timescales, images at left have slower
updating images. (middle) Difference images between consecutive background
images are constructed. (bottom) After thresholding the difference images we
see that objects occuring at different timescales appear in each difference
image.
(a-c) Frames from a video in which a bag is left at approximately frame 250. (d)
Using only the background images we solve for when the bag was left (the
pixel centered in the white box of (a-c) changed) by fitting a two-piece
piecewise-constant function (green line). (e) Difference of background image
responses over time for the same pixel have a consistent pattern which we
exploit to estimate change time without explicit function fitting.