Exact(1)
From now on, we shall follow the following orthonormal basis frame of the ambient manifold M ¯ for the warped product semi-slant submanifold M = N T × f N θ such that ξ is tangent to N T. We shall denote by D and D θ the tangent spaces of N T and N θ, respectively, instead of T N T and T N θ.
Similar(59)
The video sequences were analyzed with a MATLAB routine by manually identifying the position of five morphological features (trace-points) in the face of the subject on a frame-to-frame basis (25 frames per s).
The head movements of the subjects were tracked by manually identifying the position of five morphological features in the subject's face on a frame-to-frame basis (25 frames per s).
The SHA1-HMAC's 160 bits output, calculated once per cycle, is used to calculate slot sizes on a frame-by-frame basis for all frames in a cycle, as shown in Figure 10.
In addition, we also calculated the centre and spatial dispersal of the flicker on a frame-by-frame basis (see Figure 2 and SM).
Such a system can be a basis, a frame, or a general over-complete dictionary.
The chapter focuses on problems for which it is reasonable to assume that the solution has a sparse expansion with respect to a wavelet basis or frame.
We postulate without loss of generality that has only nonzero components (in fact, it suffices for to be sparse or compressible in some basis or frame).
Perhaps the most distinctive feature of the proposed system is its ability to reconstruct a tampering that is sparse in some orthonormal basis or frame, without knowing at the CP side the actual content alteration.
Recent results in compressive sensing have shown that the information from a signal may be captured with a small set of nonadaptive, linear measurements as long as the signal is sparse in some basis or frame [10 12].
In the sparse model, each datum (signal) can be approximated by the linear combination of a small (sparse) number of elementary signals, called atoms, from a pre-specified basis or frame, called dictionary.
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Justyna Jupowicz-Kozak
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