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The computed transformation coefficients form the feature set for the classification of good and faulty conditions of the components of centrifugal pump.
Computed transformation parameters were applied to all functional images, interpolated to isotropic voxels of 2 mm3 and the resulting images were smoothed using an 4-mm full-width half-maximum (FWHM), isotropic Gaussian kernel.
A computed transformation work functional combined with a critical driving force criterion and stability analysis are employed in the solution of boundary-value problems addressing aspects of martensitic transformations in a heterogeneous plastically deforming medium.
When the weights of control points are not considered or identical, the computed transformation parameters with presented dual quaternion algorithm (DQA), orthonormal matrix algorithm (OMA) from Zeng (2015) and Procrustes algorithm (PA) from Grafarend and Awange (2003) are listed in Table 3.
A registration was defined as correct if the computed transformation was able to overlay the two images in such a way that corresponding areas of interest were visually confirmed to line up appropriately.
The group maps were created by first spatially normalizing each subject's anatomical image to the Montreal Neurological Institute (MNI) reference space and then applying the computed transformation to the mask defining the selected voxels.
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The architecture can be extended to compute transformation of longer length by judicially cascading the modules of shorter transformation length which will be suitable for wafer scale integration (WSI).
In the case of the 1D methodology (methods 1 to 4), and for data matrices of size (F·T ×K, it is necessary to compute transformation matrices of size (F·F)×n, while for the 2D methodology (methods 5 to 8), two transformation matrices of F×n r and T×n c are needed while working with two data matrices of size T×(F·K) and F×(T·K).
By calculating the geometric mean of the previously computed affine transformation matrices to the MNI152 standard space, midspace was defined as the transformation that approximates the average size and shape of the individual subjects' spaces.
Both software packages assessed used a semi-automatic linear (or rigid) registration algorithm to fuse PET and CT data together; therefore, computed alignment transformation between image modalities included, and were limited to, rotation, translation and scaling.
According to this theory, usually applied to computing, transformation of an entire system occurs only at the pace of the slowest part to change.
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