The phrase "applied to the refinement" is correct and usable in written English.
It can be used in contexts where you are discussing the application of a method, process, or principle to improve or enhance something.
Example: "The new techniques were applied to the refinement of the manufacturing process, resulting in higher efficiency."
Alternatives: "utilized for the enhancement" or "implemented for the improvement".
The resultant CHOCIP data will be a rich information source that can be applied to the development or refinement of patient classification systems and associated resource allocation models for community health and outpatient care services.
The ideas of balance, clarity, and beauty are applied to the ontology design and refinement procedures.
It seemed appropriate to preserve those items for when other techniques, such as Rasch analysis and item response theory, could be applied to the data for further scale refinement.
14 Coding of all transcripts was conducted by the interviewer, with four transcripts independently double-coded by another experienced qualitative researcher (RG-H), and codes discussed, agreed and then applied to the data set with ongoing refinement as needed.
Rietveld refinement analysis applied to the X-ray diffraction (XRD) patterns of cellulose and hemicellulose biochar revealed similar phase compositions (graphite, α-Fe, Fe3C, CFe15.1 and CFe21.2).
A second-stage of patch refinement is applied to the region determined in the first stage to obtain the final foreground detection.
For eliminating the inaccurate results caused by image patches, a second-stage of patch refinement is applied to the region determined in the first stage to obtain the final foreground detection.
Thus, peak refinement is applied to the initial peak lists.
Because the last refinement is applied to the original graph, the multilevel scheme in fact reduces the problem of selecting an initial partition to the problem of selecting pairs of nodes to be merged.
In particular, it is shown how refinement can be applied to the development of the inequational subset of a calculus of generic software components.
