Conversely, the two versions of the Smagorinsky model are found unable to ensure regularisation while showing a strong sensitivity to numerical errors.
This discrepancy between the original and final Gauss coefficients may be due partly to the regularisation applied when deriving the WDMAM model but also to the process we applied for replacing these long wavelengths.
However, due to the diffusive nature of light propagation in biological tissue the image reconstruction is an ill-posed inverse problem [ 9], hence, in order to obtain a stable and meaningful solution one has to use regularisation methods.
The idea is to agree not to conduct mass regularisation of illegal immigrants, to strengthen EU border controls and to harmonise procedures for repatriating illegal immigrants.
A range of 13 Tikhonov regularisations was pre-computed to allow the right amount of regularisation to be selected according to the noise level found in the data.
A detailed analysis of the associated trace space, which is a subspace of a scaled Sobolev space of negative fractional order, leads to a new path space for the free field as well as to a convenient regularisation method.
Liu et al. [ 15] used a dynamic quadratic approximation to the L p norm, and explored how sensitive the reconstruction process is to the particular regularisation weight used.
Another possible and more desirable way of reducing noise would be to use temporal regularisation of the IDM-corrected image.
In addition to this, the regularisation program that accompanied the legal reform – and all other regularisations implemented since – accepted the certificate of empadronamiento as a proof of the length of residence in Spain, which especially encouraged the registration of undocumented migrants.
For instance, we decided to code the regularisation of irregular migrants as 'legal entry' and not 'integration', as from the state perspective this measure is about giving people legal access to the country, even if they might already have lived in the country for several years.
