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In mathematics, bicubic interpolation is an extension of cubic spline interpolation (a method of applying cubic interpolation to a data set) for interpolating data points on a two-dimensional regular grid.
Bicubic splines (Bicubic interpolation) are often used to interpolate data on a regular rectangular grid, such as pixel values in a digital image or altitude data on a terrain. Bicubic surface patches, defined by three bicubic splines, are an essential tool in computer graphics. Cubic splines are often called csplines, especially in computer ...
Bicubic filter in Adobe Photoshop [5] 1/3 1/3 Mitchell–Netravali Mitchell filter in ImageMagick [4] 1 0 B-spline: Bicubic filter in Paint.net: Examples.
comparison of 1D and 2D interpolation: Image title: Comparison of nearest-neighbour, linear, cubic, bilinear and bicubic interpolation methods by CMG Lee. The black dots correspond to the point being interpolated, and the red, yellow, green and blue dots correspond to the neighbouring samples. Their heights above the ground correspond to their ...
Multivariate interpolation is the interpolation of functions of more than one variable. Methods include nearest-neighbor interpolation, bilinear interpolation and bicubic interpolation in two dimensions, and trilinear interpolation in three dimensions. They can be applied to gridded or scattered data.
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In mathematics, bilinear interpolation is a method for interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear grid , though it can be generalized to functions defined on the vertices of (a mesh of) arbitrary convex quadrilaterals .
Simple Fourier based interpolation based on padding of the frequency domain with zero components (a smooth-window-based approach would reduce the ringing). Beside the good conservation of details, notable is the ringing and the circular bleeding of content from the left border to right border (and way around).