The paper also deals with the question on how completeness can be transferred from quantified modal logic with rigid designators to the ones with non-rigid designators.
One approach to dealing with non-rigid terms is to employ Russell's theory of descriptions.
3D rigid motions, i.e., camera rotation and translation, along with non-rigid deformations, e.g., stretching and bending, are mixed altogether in their image measurements.
In general, temporal motion cannot be characterized adequately, especially for regions with non-rigid motion and regions with motion boundaries.
To solve the problem of point or surface registration with non-rigid deformation, many methods and algorithms have been presented.
As various levels of image cropping showed no improvement and an insignificant change in DSC for non-rigid image registration strategies (p > 0.36), cropping in combination with non-rigid image registration will not be considered further.
According to Lowell et al. (2004), this type of loop is observed with non-rigid aggregates of plate-like particles giving rise to slit-shaped pores.
On the other hand, when working with non-rigid objects, like humans, geometric assumptions do not hold, and the results get worse.
The importance of such a non-rigid registration technique is clearly visible in that figure, where important regions such as the cortex, the hippocampus or the hypothalamus are clearly better aligned with non-rigid registration than with a simple affine registration, as reflected by the better sharpness of the image in those regions.
Pain is avoided through the use of gentle clinical techniques with non-rigid instruments, and non-use of uterine elevators.
