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Component 4 may be closely related to matrix material.
Furthermore, it is possible to predict an optional release process when the amount of matrix and composition of matrix system were defined.
This generalizes previous results for 4-dimensional matrix models.
We show that Yeh’s version is a more accurate approximation to the full 4×4 matrix.
We also prove that any complex split quaternion has a 4 × 4 complex matrix representation.
The results show that the newly estimated 4-D blurring matrix can improve the image quality over those obtained with a 2-D blurring matrix and requires less point source scans to achieve similar image quality compared with an unconstrained 4-D blurring matrix estimation.

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