Interpolation is a method used in mathematics and data analysis to estimate missing or unknown values within a set of data points. It involves calculating values at points that lie between the known data points. There are different techniques for interpolation, such as linear interpolation, polynomial interpolation, and spline interpolation.
Linear interpolation uses straight lines to estimate values between two adjacent data points. Polynomial interpolation uses a polynomial equation to estimate values between data points. Spline interpolation uses a series of polynomial equations to interpolate values between data points.
Interpolation is commonly used in computer graphics, image processing, map-making, signal processing, and scientific data analysis. It can help to improve the accuracy of data, fill in missing values, and create smooth curves or surfaces between data points. However, it should be used with caution as it may lead to overfitting or inaccurate predictions if not properly applied.
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