By P. Anandan, J. R. Bergen, K. J. Hanna (auth.), M. Ibrahim Sezan, Reginald L. Lagendijk (eds.)

An photograph or video series is a sequence of two-dimensional (2-D) pictures sequen tially ordered in time. photograph sequences will be obtained, for example, via video, movie, X-ray, or acoustic cameras, or they are often synthetically gen erated via sequentially ordering 2-D nonetheless photos as in special effects and animation. using snapshot sequences in parts comparable to leisure, visible communications, multimedia, schooling, medication, surveillance, handheld remote control, and clinical learn is consistently growing to be because the use of tv and video platforms have gotten increasingly more universal. The boosted curiosity in electronic video for either client items, in addition to the provision of quick processors and reminiscence at average charges, has been a big motive force in the back of this progress. ahead of we difficult at the significant phrases that seem within the identify of this publication, particularly movement research and photo series processing, we adore to put them of their right contexts in the diversity of attainable operations that contain snapshot sequences. during this publication, we decide to categorise those operations into 3 significant different types, specifically (i) photograph series processing, (ii) picture series research, and (iii) visualization. The interrelationship between those 3 different types is pictorially defined in determine 1 less than within the kind of an "image series triangle".

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9) for x( t). 21). Variants of these methods arise in different computational environments. 19) for TCS can be implemented by one of the following computational procedures, leading to variations in the algorithms above: I I ic (iterative inversion, iterations to convergence) In practice, the inversion problems are solved iteratively. We use GaussSeidel iterations in the experiments here. Needless to say, this iterative solution will converge to the true solution in the limit. is (iterative inversion, single iteration) In time sequential processing, it is natural to initialize the iterative inversion at time t with the estimate obtained at time t - 1, providing a reasonably good estimate for time t even before the first iteration.

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_------... -- .... - - - . , , , , , " ....... - -............ ,. 4'" ~------ ... 5: The optical flow estimates for the frame 18 of the Stagnation Flow sequence by the SF-is method and TCS-is method. 39 Stagnation How IOOr-------~------~--------,_------_T------__, . · ···· ,;,,\ ! ,, . 90 , ,, , ,, 80 70 '..... ~ . \ " ... \ ...... -:'. --;\\/i" ... j 50 ! I, I " . 6: The estimation errors by the TCS-ic (solid-line), SF-ic (dashedline), SF-is (dotted-line), and TCS-is (dash-dot line) methods for the Stagnation Flow experiment.