next up previous print clean
Next: Definitions Up: Least-squares solution of the Previous: Inversion of the Hessian

Geometric interpretation of the noise and signal filters

In this section, a geometric interpretation of the noise and data filters which appear in equation ([*]) is given. The properties of the resolution operators are well known Tarantola (1987). The goal here is to extend these properties to the particular case of the subtraction scheme proposed in equation ([*]). But first, it is useful to give some definitions.