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We further provide some examples of physical imaging where these constraints are used to match the physics of imaging process and material properties.
Improved understanding of how to match the physics of the mechanical breath with the pathophysiology of the lung will ultimately result in the optimally protective mechanical breath.
For the latter, we use the concept of physical constraints such as sparsity, spatial smoothness, robustness to noise, symmetry, etc. that match the physics of the specific problem.
In order to match the physics of reverberation, a prior over the source spatial covariance matrices or over the subsource mixing matrices should lead to a mean spatial covariance matrix μ R j ( f ) satisfying the constraint (7).
Therefore, the use of NMF allows to match the physics of diffraction (in the absence of dynamical effects), i.e., that spectra can be deconvoluted linearly, and the fractions must sum to 1. Moreover it shows that image segmentation is possible, although in future this should be done with symmetry-based constraints on the unmixing process (to determine the space group for each phase).
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A relaxation process or the combination of two processes imposes a subsidiary condition that matches the physics of the process.
Plots are presented to facilitate the design of filter parameters matching the physics requirements on the maximal error.
It can be argued that in cases when the statistically imposed constraints match the anticipated physics of the system, the unmixing will directly provide the insight to the latter.
In order to match the high-intensity beam to the plasma physics target, further major technical effort will be required in SIS100.
Conversely, a physics-based dynamic model for the fine system is derived from a non-parametric system identification in order to match the experimental data well.
This paper presents a capillary flow model using invasion percolation physics that accurately matches the plume's geometry.
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