Bicubic Interpolation
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What it is
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uses a polynomial of degree at most three in each of two coordinates to interpolate within a grid cell
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Formulation
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contains sixteen coefficients, determined from sixteen suitable constraints, such as corner values and derivative information
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Tradeoffs
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can provide smoother results than Bilinear Interpolation, but requires more information and computation
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can overshoot; smooth jions across cells require compatible construction of shared boundary information
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