interpolation
C2Pronunciation
UK
- /ɪnˌtɜː.pəˈleɪʃən/countableuncountablenoun
US
- /ˌɪˈtɜrpəˌleɪʃən/
Meanings
Noun
estimating or constructing values between known data points
substituting generated values into placeholders in a string or template
the insertion of extra words or material into a text, speech, or sequence
Beyond the definition
Imagine you're charting a course across a vast ocean, but you only have precise locations marked at the start and end of your journey. How do you figure out where to be in between? That's where interpolation comes in! It's like connecting the dots—estimating values that fall between known data points.
It shows up in many fields. In math and science, people use it to estimate missing values inside a known range. On a graph, if you know two points, it helps you guess what lies between them. If a plant grows 1 inch in the first week and 3 inches in the second, interpolation can help you estimate its height halfway through that time. It is a careful way of filling in gaps based on what you already know.
Interpolation is the process of estimating values between known data points. Think of it as filling in the blanks—using existing information to infer what likely exists in the gaps. While often associated with mathematics and statistics, its applications are surprisingly widespread.
In a mathematical context, interpolation involves finding a function that passes through a set of given points. This allows you to estimate values at any point within the range of those known data points. For example, if you have temperature readings taken every hour, interpolation can help you estimate the temperature at 10:30 AM.
However, interpolation extends beyond basic number tables. In image processing, it is used when resizing or rotating images, where new pixels are estimated from nearby ones. Geographic Information Systems (GIS) rely heavily on interpolation to create continuous surfaces from scattered data points such as elevation, temperature, or rainfall. It is also common in engineering, physics, and computer graphics whenever values must be estimated within a known range.
There are different methods of interpolation—linear, polynomial, spline—each with its own level of accuracy and complexity. The best method depends on the nature of your data and the desired precision.
So whether you're estimating a temperature between two readings, improving a digital image, or mapping rainfall between weather stations, interpolation is a useful tool for making informed estimates from known information. It helps bridge gaps inside a range you already understand.
Examples
- 1
Missing data
The graph has values for Monday and Friday, so we used interpolation to estimate the numbers for the days in between.
- 2
Animation
The software uses linear interpolation to make the animation move smoothly from one position to the next.
- 3
Programming
String interpolation lets you write `Hello, ${name}` instead of joining several pieces of text by hand.
- Domain
in programming, string interpolation means putting a value directly inside a text string in code
- 4
Manuscripts
Some scholars think that paragraph is a later interpolation, not part of the original manuscript.
See also
Similar
- estimation
- approximation
- filling in
Shades of meaning
Contrast
Used with (collocations)
- linear interpolation
- spline interpolation
- interpolation method
Word family
Explore
- numerical analysis
- regression
Forms and spellings
2 forms open this card.
Main spelling
- interpolationnoun
Forms
- interpolationspluralnoun