Definition of Interpolants. Meaning of Interpolants. Synonyms of Interpolants

- produce smoother interpolants. Polynomial interpolation is a generalization of linear interpolation. Note that the linear interpolant is a linear function...
- piecewise linear, resulting from the concatenation of linear segment interpolants between each pair of data points. This results in a continuous curve...
- constructing high-order accurate interpolants of unstructured data, possibly in high-dimensional spaces. The interpolant takes the form of a weighted sum...
- In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a data...
- are commonly referred to as Chebyshev nodes in literature. Polynomial interpolants constructed from these nodes minimize the effect of Runge's phenomenon...
- \\w_{12}&=(1-x)y,\\w_{21}&=x(1-y),\\w_{22}&=xy.\end{aligned}}} Alternatively, the interpolant on the unit square can be written as f ( x , y ) = a 00 + a 10 x + a...
- ambiguities in the interpolant behavior on the face of the cube. They proposed a test called Asymptotic Decider to correctly track the interpolant on the faces...
- the values of neighboring points at all, yielding a piecewise-constant interpolant. The algorithm is very simple to implement and is commonly used (usually...
- polynomials Spline (mathematics) — the piecewise polynomials used as interpolants Perfect spline — polynomial spline of degree m whose mth derivate is...
- implementation takes a data set and produces a monotone cubic spline interpolant function: /* * Monotone cubic spline interpolation * Usage example listed...