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For the SOBS approach, the modeled background frame B l = I l.
Then, each subsequent modeled background frame B t is obtained by pixel-wise background updating.
Then, the initial modeled background frame B ^ t (t = 2,3,…,19) is obtained based on the "updated" modeled background frame B t 1 (see Section 2.3) and the block motion representation frame R ^ t.
Afterwards, the initial modeled background frame B ^ t (t = 20,21,…) is duplicated from the "updated" modeled background frame B t 1, i.e., B ^ t = B t − 1 (t = 20,21,…) [35].
By background updating, each block b ^ i, j t in the initial modeled background frame B ^ t can be updated to obtain the corresponding block b ˜ i, j t in the modeled background frame B t as follows.
Finally, as shown in Figure 2q, the initial modeled background frame B ^ 19 contains no "undefined" block.
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Figure 2 An illustrated example of initial modeled background processing: (a - f) the origina - fdeo frames; (g)-(k) the bloriginalon representation frames; (l)-(q) the initial modeled background frames.
As the illustrated example shown in Figure 2, a sequence of initial modeled background frames B ^ t (t = 1,2,…) will be obtained in the initial modeled background processing procedure.
Figure 7 An illustrated example of background updating for two "moving object" blocks: (a) and (d) are two original video frames; (b) and (e) are the corresponding block representation frames; (c) and (f) are the corresponding modeled background frames.
As the illustrated example shown in Figure 10, the modeled background frames B t with THstill = 20 and THstill = 40 are illustrated, where performance index T 1 is defined as the frame index for initial modeled background processing (Section 2.1) and it is identically set to 21 for both THstill = 20 and THstill = 40.
For background initialization, Figures 12, 13, 14, 15, 16, and 17 illustrate some frames of the six bootstrapping video sequences (a) and the corresponding modeled background frames B t by Reddy (b), SOBS (c), and the proposed approach (d) with block size of 16 × 16.
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