Multivariate interpolation

Bicubic interpolation

In mathematics, bicubic interpolation is an extension of cubic interpolation (not to be confused with cubic spline interpolation, a method of applying cubic interpolation to a data set) for interpolating data points on a two-dimensional regular grid. The interpolated surface (meaning the kernel shape, not the image) is smoother than corresponding surfaces obtained by bilinear interpolation or nearest-neighbor interpolation. Bicubic interpolation can be accomplished using either Lagrange polynomials, cubic splines, or algorithm. In image processing, bicubic interpolation is often chosen over bilinear or nearest-neighbor interpolation in image resampling, when speed is not an issue. In contrast to bilinear interpolation, which only takes 4 pixels (2ร—2) into account, bicubic interpolation considers 16 pixels (4ร—4). Images resampled with bicubic interpolation can have different interpolation artifacts, depending on the b and c values chosen. (Wikipedia).

Bicubic interpolation
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Related pages

Natural neighbor interpolation | Tricubic interpolation | Unit square | Clipping (signal processing) | Overshoot (signal) | Nearest-neighbor interpolation | Bilinear interpolation | Interpolation | Regular grid | Cubic Hermite spline | Pixel | Spline interpolation | Ringing artifacts | Mathematics | Spatial anti-aliasing | Sinc filter | Bรฉzier surface | Convolution | Lanczos resampling | Lagrange polynomial