The phrase "by interpolating the" is correct and usable in written English.
It can be used in contexts where you are describing a method of estimating or deriving values within a range of known data points.
Example: "The results were improved by interpolating the missing data points to create a more accurate model."
Alternatives: "through interpolation of the" or "using interpolation to the".
Global expected annual maximum relative water level rise was obtained by interpolating the tidal station estimations through inverse distance weighted interpolation method.
Displacements were measured to subpixel accuracy by interpolating the position of the cross-correlation peak.
By interpolating the characterization results, hypothetical ultramicropore size distributions for each CMS membranes are suggested.
In reverse engineering, curves are constructed by interpolating the data points digitized from existing products.
By interpolating the kinetic data, relevant subprocesses can be visualized and studied separately in the mixer.
A linear parameter varying model is then constructed by interpolating the region between the neighbor frozen operating times.
We reduce this cost by interpolating the results of fine-scale simulation over the spatial domain of the macro-solver.
Numerical discretization involves approximation of the physical properties of each particle by interpolating the properties of its neighboring particles.
Thus the displacements of grid points can be calculated by interpolating the boundary movement by the mean value coordinates.
Scans with large signal variations (i.e., more than 1.5% difference from the mean global intensity) or scans with more than 0.5 mm/TR scan-to-scan motion were repaired by interpolating the nearest non-repaired scans using the ArtRepair toolbox66.
By interpolating the normal and boundary-fitting curves of each quadrilateral patch with a Bézier patch, an initial G1 smoothly stitching Bézier patches is generated.
