Practical ReProCS for separating sparse and low-dimensional signal sequences from their sum - Part 1
نویسندگان
چکیده
This paper designs and evaluates a practical algorithm, called Prac-ReProCS, for recovering a time sequence of sparse vectors St and a time sequence of dense vectors Lt from their sum, Mt := St + Lt, when any subsequence of the Lt’s lies in a slowly changing low-dimensional subspace. A key application where this problem occurs is in video layering where the goal is to separate a video sequence into a slowly changing background sequence and a sparse foreground sequence that consists of one or more moving regions/objects. PracReProCS is the practical analog of its theoretical counterpart that was studied in our recent work.
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Practical ReProCS for separating sparse and low-dimensional signal sequences from their sum - Part 2
In this work, we experimentally evaluate and verify model assumptions for our recently proposed algorithm (practical ReProCS) for recovering a time sequence of sparse vectors St and a time sequence of dense vectors Lt from their sum, Mt := St + Lt, when Lt lies in a slowly changing low-dimensional subspace. A key application where this problem occurs is in video layering where the goal is to se...
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