Exact and efficient interpolation using finite elements shape functions

Exact and efficient interpolation using finite elements shape functions

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Efficient contour shape description by using fractal interpolation functions

This paper presents a novel representation method for contour shape using Fractal Interpolation Functions (FIF). In the traditional idea of the FIF, the scope of its application has been limited to the case where the signal is represented by a single-valued function. Therefore, the traditional FIF cannot be applicable to multiple-valued signals. The proposed method can model a multiple-valued s...

Cover interpolation functions and h-enrichment in finite element method

This paper presents a method to improve the generation of meshes and the accuracy of numerical solutions of elasticity problems, in which two techniques of h-refinement and enrichment are used by interpolation cover functions. Initially, regions which possess desired accuracy are detected. Mesh improvment is done through h-refinement for the elements existing in those regions. Total error of th...

Efficient and exact mesh deformation using multiscale RBF interpolation

Polyhedral Finite Elements Using Harmonic Basis Functions

Finite element simulations in computer graphics are typically based on tetrahedral or hexahedral elements, which enables simple and efficient implementations, but in turn requires complicated remeshing in case of topological changes or adaptive refinement. We propose a flexible finite element method for arbitrary polyhedral elements, thereby effectively avoiding the need for remeshing. Our poly...