Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation

Adaptive Polynomial Interpolation on Evenly Spaced Meshes

The problem of oscillatory polynomial interpolants arising from equally spaced mesh points is considered. It is shown that by making use of adaptive approaches that the oscillations may be contained and that the resulting polynomials are data bounded and monotone on each interval. This is achieved at the cost of using a different polynomial on each sub-interval. Computational results for a numb...

Bivariate Polynomial Interpolation over Nonrectangular Meshes

In this paper, by means of a new recursive algorithm of non-tensor-producttyped divided differences, bivariate polynomial interpolation schemes are constructed over nonrectangular meshes firstly, which is converted into the study of scattered data interpolation. And the schemes are different as the number of scattered data is odd and even, respectively. Secondly, the corresponding error estimat...

Locally Adjustable Interpolation for Meshes of Arbitrary Topology

Here is the abstract CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling curve, surface, solid and object representations;

Discrete Smooth Interpolation: Constrained Discrete Fairing for Arbitrary Meshes

In this paper, it is shown how the Discrete Smooth Interpolation method (D.S.I.) may be used as a new framework for creating, fairing and editing triangulated surfaces. Given an arbitrary mesh with an arbitrary set of vertices fixed by the user, D.S.I. assigns coordinates to the other nodes of the mesh, enabling the fixed vertices to be interpolated smoothly. The squared discrete Laplacian crit...

Lo ally Adjustable Interpolation for Meshes of Arbitrary Topology