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Thus, the synthesized training images can be generated by applying various combination of translation, rotation, and scaling transformations within a predefined range.
The SIFT descriptor is invariant to translations, rotations and scaling transformations in the image domain and robust to moderate perspective transformations and illumination variations.
The researchers found that the six Geospiza finches and their ancestor the Black-faced Grassquit matched up with scaling transformations alone.
The basic boundary-layer non-linear partial differential equations have been converted into a set of non-linear ordinary differential equations by using scaling transformations.
Now, using the scaling group G of transformations, we get the scaling transformations as stated in (Hamad 2011; Vishnu Ganesh, Ganga and Abdul Hakeem 2014) begin{array}{ccc}hfill eta =y,hfill & hfill psi =xFleft eta right),hfill & hfill theta =theta left eta right).hfill end{array} (11).
In this article, we have presented a coherent and unified framework for handling such locally linearized image transformations in terms of local scaling transformations, local affine transformations, local Galilean transformations, and local multiplicative intensity transformations, such that the influence of these image transformations on the receptive field responses can be well understood.
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First, the time scaling transformation is utilized to project the impulsive moments (t=0,tau_{1}, tau_{2},ldots, tau_{n}) into (s=0,1,2,ldots,n) in a new time horizon.
The foregoing argument relates to scale transformations in the sense of order-preserving adjustments in the metric used to assign numbers to an individual utility function.
For analysis of discontinuous data such as urinalysis, the data was subjected to scale transformation, which expresses the data as the severity of the signs (Table 1).
This permits general expressions of performance indices to be derived for any scaling transformation.
A scaling transformation is used to resolve the initial development of the singularity.
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