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an innovative algorithm for key frame extraction in video ...

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where MaxDiff is the largest possible value that the Diff( ) <strong>frame</strong> differencedist<strong>an</strong>ce c<strong>an</strong> assume. High Fidelity values <strong>in</strong>dicate that the <strong>key</strong> <strong>frame</strong>s extractedfrom the <strong>video</strong> sequence provide a good global description of the visual content ofthe sequence. A visual representation of the Fidelity mesaure computation isshown <strong>in</strong> Fig. 2.... ... S tF(t) F(t+n) F(t+γ NF -1)F KF (t) F KF (t+2) Diff(F(t+γ NF -1),F KF (t+2))F(t+γ NF -1)KF tFig. 2. Computation of the Fidelity measure. Each <strong>frame</strong> <strong>in</strong> the <strong>video</strong> sequence is compared witheach <strong>key</strong> <strong>frame</strong> <strong>in</strong> the summary, <strong>an</strong>d the m<strong>in</strong>imal dist<strong>an</strong>ce of each is reta<strong>in</strong>ed. The greatest of thesedist<strong>an</strong>ces provides the Fidelity measure.3.2 Shot Reconstruction DegreeThe idea underly<strong>in</strong>g the Shot Reconstruction Degree (SRD) measure is that, us<strong>in</strong>ga suitable <strong>frame</strong> <strong>in</strong>terpolation <strong>algorithm</strong>, we should be able to reconstruct thewhole sequence, from the set of <strong>key</strong> <strong>frame</strong>s. The better the reconstructionapproximates the orig<strong>in</strong>al <strong>video</strong> sequence, the better the <strong>key</strong> <strong>frame</strong>s summarize itscontent. Let the <strong>video</strong> sequence St <strong>an</strong>d the set of <strong>key</strong> <strong>frame</strong>s KFt be def<strong>in</strong>ed as <strong>in</strong>the previous paragraph. Let FIA( ) be a <strong>frame</strong> <strong>in</strong>terpolation <strong>algorithm</strong> thatcomputes a <strong>frame</strong> from a pair of <strong>key</strong> <strong>frame</strong>s <strong>in</strong> KFt:~( t + n)= FIA F (t + n ),F (t + n ),n,n ,n n ≤ n n (6)(KF j KF j+ 1 j j+1)j

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