Interpolate (verb)

1. To insert (something) between other things or parts.
2. To estimate or calculate an unknown value within a range of known values by using a mathematical formula or a set of similar data.

Origin:

This word comes from the latin word interpolat, which means "to insert", formed by inter meaning "between" and polire meaning "to polish".

Examples:

1. The scientist interpolated the missing data to complete the study.
2. The artist interpolated new colors into the painting.
3. The researcher interpolated the missing value using a mathematical formula.
4. The software interpolated the missing pixels to improve the image quality.
5. The musician interpolated new notes into the melody.