To do so, as in [2], one needs first to introduce a smooth approximation w t, x) of the rarefaction wave solution w R (t, x).
For smooth control, it is better to introduce time filtering with factor, which determines the speed of control, so that the exposure time becomes (6).
When we study problem (1.2) in a bounded smooth domain Ω, we need to introduce the function P δ ( a, λ ) which is the projection of δ ( a, λ ) on H 0 1.
To introduce frequency smoothing, two ways can be performed: either by weighting the autocorrelation and cross-correlation functions (in the time domain) or by averaging frequential sub-bands (in the frequential domain).
In this work, we have explored two different growth techniques to introduce roughness on smooth silica spheres.
Marr and Hildreth [14] were the first to introduce the Gaussian smoothing as a pre-processing step in edge feature extraction.
Energy smoothing of REMS is equivalent to introducing an error into the calculation of the Metropolis criterion, and consequently produces non-stationary distributions of Markov chains of configurations.
This suggests that its rough colony phenotype may be due to an irreversible genetic factor rather than the reversible spontaneous reversion from smooth to rough morphotype previously introduced as a major mechanism for acquisition of the rough phenotype in M. abscessus − complex strains [ 17].
Starting in 1912, these "mirror carp"—so named for their smooth sides were introduced to Madagascar, where no carp existed, for fish farming, and they quickly spread throughout the island.
But straightly averaging temporal corresponding pixels to smooth noise may introduce "ghosting" artifacts in the presence of camera and object motion.
In order to overcome the ill-posedness of the optimization problem (5) and to assure smooth solutions, we introduce additional regularization terms.
