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First, two perspective transforms, T ˙ b and T ˙ f for each SI block are selected, one for each backward/forward direction; then, both are evaluated in terms of residual error and the best transform is selected.
Then, the best transform level and basis can be selected by l, w = arg min l k ∈ L k, w ∈ W ∑ m E ∥ C l, m X − C ̂ l, m X ∥ 2, k = 1, 2, 3. (40).
2. Perspective transform selection - Now, the best transform for each SI block has to be selected from all the transforms T b and T f considered reliable in the previous step, i.e., the T b and T f perspective transforms that were not eliminated.
The best transform level and basis should minimize the MSE or risk R c ( X, X ̂ ) = E ∥ X − X ̂ ∥ 2 [36], whose equivalent form for each component can be expressed as: R c ( X, X ̂ ) = ∑ m E ∥ C l, m X − C ̂ l, m X ∥ 2 (39).
For each cell at each sampled time instance, a two-dimensional cell shape strain rate tensor was calculated that best transformed its current cell shape to that of the next time step, assuming no cell rotation [ 19, 28].
These pressures have made the steel industry a mere "conversion business", making wafer-thin profits, at best, by transforming ore into metal, laments Colin Hamilton of Macquarie, a bank.China's continuing economic growth offers the prospect of its excess capacity eventually being used up, if the central government can somehow restrain local authorities' zeal for new plants.
There are several steps in this framework: creating vision, identifying core processes to be redesigned, analyzing current core processes, designing for innovation, evaluating the new processes, selecting the best, and transforming and implementing the resulting design.
In both synthetic and real CGH data, Stationary Wavelet Packet Transform (SWPT) is the best wavelet transform to analyze CGH signal in whole frequency.
The architecture of the proposed perspective motion estimation technique is shown in Figure 3; several key tasks are performed here, namely the estimation of the perspective motion model parameters and the selection of the best perspective transform, i.e., the perspective transform that creates (by warping) the highest quality SI block.
