Showing papers on "Bicubic interpolation published in 1978"
TL;DR: Shepard as discussed by the authors proposed a global representation for an interpolant which satisfies a maximum principle and reproduces constant functions, which can be generalized to any Euclidean metric, including partial derivative data at the interpolation points.
Abstract: Shepard developed a scheme for interpolation to arbitrarily spaced discrete bivariate data. This scheme provides an explicit global representation for an interpolant which satisfies a maximum principle and which reproduces constant functions. The interpolation method is basically an inverse distance formula which is generalized to any Euclidean metric. These techniques extend to include interpolation to partial derivative data at the interpolation points.
219 citations
TL;DR: In this paper, an interpolation procedure is presented which, for band-limited signals, minimizes a normalized time-domain error, which is closely related to that proposed by Oetken et al.
Abstract: An interpolation procedure is presented which, for band-limited signals, minimizes a normalized time-domain error. The resulting interpolator is closely related to that proposed by Oetken et al. which is based on a least square error.
24 citations
21 citations
11 citations
5 citations
TL;DR: In this article, the problem of constructing a bicubic interpolation spline in a circle in polar coordinates is considered, where the representation of the spline is in terms of β-splines.
Abstract: THE PROBLEM of constructing a bicubic interpolation spline in a circle in polar coordinates is considered. The representation of the spline in terms of β-splines is used. The pole of the domain is excluded from the partition.
5 citations
01 Nov 1978
TL;DR: In this article, methods for modifying the derivative values in the Hermite representation in order to eliminate the "bumps" and "wiggles" that frequently plague the more common cubic spline or Akima interpolants are presented.
Abstract: Interpolation of one-dimensional data using piecewise cubic interpolants is considered. Methods are presented for modifying the derivative values in the Hermite representation in order to eliminate the ''bumps'' and ''wiggles'' that frequently plague the more common cubic spline or Akima interpolants. The resulting interpolant is C/sup 1/, but generally not C/sup 2/. The report consists of a reproduction of a poster prepared for a meeting. 27 figures.
4 citations