In this case, 2D affine transformation
can be used to get the transformation parameters between two neighboring images.
Affine registration: Proposed programe was started with the global alignment of reference image M and target image N using affine transformation
In the experiments, two conditions need to be satisfied for the motion estimation: the repeatability of the algorithms maintained at a high level and the quantity of correspondence for affine transformation
Prior to the FP reduction stage, the initially computed nodule candidates are augmented using a 3D affine transformation
based rotation method.
Where p, is the equivalence class z of T and G is an affine transformation
Proof of Proposition 2: First note that a positive affine transformation
does not change the optimal level of self-protection in our model.
Transformations applied in augmentation process are illustrated in Figure 2, where the first row represents resulting images obtained by applying affine transformation
on the single image; the second row represents images obtained from perspective transformation against the input image and the last row visualizes the simple rotation of the input image.
In fractal video coding, the best matched domain block is decided after applying the proper affine transformation
which gives least mean square error.
Coefficients in the affine transformation
have been estimated using optical flow method , least square method , and numerical optimization method , However, Pan  proposed direct a cost function which minimizes the sum of squared differences between pre- and post-deformation sub-images, and this method has higher time cost.
It will be constructed using XOR operation and affine transformation
We chose the affine transformation
because it is logical, linear, and easy to implement.
The transformation shown in Equation 1 is called affine transformation
of the plane.
Especially, if [OMEGA] = 0, then V is an infinitesimal affine transformation
2] is affine Lagrangian and its second fundamental tensor is parallel relative to the induced connection, then the surface is up to a complex affine transformation
The affine transformation
was used for topology alignment.