Restoration methods

Nevertheless, certain types of prior knowledge can be introduced within the context of a linear method. Probabilities, signal and noise statistics, power spectra, and the like may be incorporated. Often this type of prior knowledge is difficult to obtain. In any case, it rarely exerts an influence nearly so profound as that of simple bounds on the amplitude of the solution. If the observing spread function obliterates all frequencies beyond the cutoff Q, they are forever lost to the linear restoration methods. No linear filter s... 

By making the substitution for H and after some algebra taking the limit, he obtained a set of simultaneous nonlinear equations for the Fourier coefficients. Howard solved these equations by an efficient iterative method. His solutions are comparable to the best that we have come to expect from the positive-constrained restoring methods. 

Note from the form of Eq. (59a) that hm can only be positive, regardless of parameters and Xn. Hence, a positivity constraint is a natural consequence of the overall approach. For other cases of prior knowledge, such as the case of emission spectra, boundedness would result. By comparison, all other restoration methods that enforce positivity or boundedness do it in an ad hoc manner. 

Recent investigations have been made into the computational efficiency of the restoration methods discussed in Chapters 9 and 10. Rewriting Eqs. (6), (A.l), and (A.2) in different forms to perhaps find a form that involved fewer computations was explored. Means to bring about a more rapid convergence of these equations were also investigated. The two-dimensional equations will be addressed in the following discussion, although most of the techniques mentioned will apply to the one-dimensional situation, also. 

W.J. Barrow, Restoration Methods. A paper presented at the 6th annual meeting. Society of American Archivists, Richmond, Virginia, October 27, 1942. 

Restoration Methods Based on Alternate Approaches. Other property changes occurring in the plastically or elastically deformed regions may be considered for utilization in serial number restoration their identification and exploitation for field use is a genuine challenge to the materials scientist. 

The river deposited a thick layer of mud as it receded. To stop all biological growth and to preserve the library s contents, all books, file drawer materials, object catalogs, photographs, and journals were frozen. This action permitted the staff to consider and to evaluate restoration methods. 

The physics package consists of a comprehensive set of physical parametrization schemes (Benoit et al. 1989). Specifically, the atmospheric boundary layer (ABE) is based on a prognostic equation for TKE. The surface temperature over land surface is calculated using the force-restore method combined with a stratified surface layer. Deep convective processes are handled by a Kuo-type convective parametrization (Kuo 1974) for the resolutions that we have adopted for this study. 

Boone, A., Calvet, J.C., and Noilhan, J. (1999) Inclusion of a Third Soil Layer in a Land Surface Scheme using the Force-Restore Method, J. Appl. Meteorol. 38, 1611-1630. 

Micro-PIXE offers a powerful nondestructive analytical method of micrometer-scale lateral resolution for research in art and archeology. Among other fields of application studies in corrosion processes, searching for characteristic features of painting and fabrication techniques, identification of art objects through trace element qualifications, and testing of restoration methods can be mentioned here. 

Ceramic restoratives are often bonded directly to the tooth surface with adhesive resins, reducing the amount of healthy tooth reduction needed in clinical treatment. Resin-bonded fixed partial denture or resin-bonded ceramic restoration methods are often employed. Adhesive resins are also used for bonding orthodontic brackets, amalgam restoratives, and many other metal and ceramic materials. 

An alternative useful quarry site restoration method is to utilize the excavations for refuse disposal, so that they are filled in before final landscaping. 

This direct restoration method is straightforward and requires only modest computation power. However, it is sensitive to PSF, and small errors in the estimation of PSF may result in major artifacts. This algorithm is often used in practice as a first approximation in iterative procedures. The iterative approaches presented below, although more demanding in terms of computation power, have been shown to be less sensitive to errors and to generate more stable estimates of o. 

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