This paper formulates an edge-based smoothed point interpolation method (ES-PIM) for solid mechanics using three-node triangular meshes. In the ES-PIM, displacement fields are construed using the point interpolation method (polynomial PIM or radial PIM), and hence the shape functions possess the Kronecker delta property, facilitates the enforcement of Dirichlet boundary conditions. Strains are ...

When a particle representation is used as a numerical discretization of a continuum problem, one often represents the field variable as a linear combination of moving basis functions (the particles). In this Lagrangian approach, the particles can become severely strained, which for continuum representations results in a deterioration of spatial accuracy. Thus, most workers face the need to reme...

We shall study multigrid methods from energy minimizations and approximations. Through the analysis of an multigrid method in 1D, we introduce the concepts of stability and the approximation property in the classical theory. Based on them, we derive an energy-minimizing interpolation and present a two level analysis for it. Issues on coarsening are also addressed. Finally, we demonstrate the ee...

This paper describes the interpolation of head related transfer functions (HRTFs) for all direction in the median plane. The interpolation of HRTFs enables us to reduce the number of measurements for new user’s HRTFs, and also reduce the data of HRTFs in auditory virtual systems. In this paper, a simple linear interpolation method and the spline interpolation method are evaluated and it is clar...

Earlier there are different interpolation techniques for denoising of images. When an image is zoomed checkerboard effect/ringing arises in images. In order to remove interpolation artefacts such as image blur and checkerboard effect. The proposed technique “DIRETIONAL DENOISE SCHEME” tries to amend the interpolation error. Meanwhile edge preservation is a critical issue in both image denoising...

We consider spatio-temporal interpolation of geographic data using both the reduction method, which treats time as an independent dimension, and the extension method, which treats time as equivalent to a spatial dimension. We adopt both 2-D and 3-D shape functions from finite element methods for the spatio-temporal interpolation of 2-D spatial and 1-D temporal data sets. We also develop new 4-D...

Tom Lyche, a Trygve K. Nilssen, b and Ragnar Winther c,∗ a Department of Informatics, University of Oslo, P.O. Box 1080 Blindern, 0316 Oslo, Norway E-mail: [email protected] b Department of Mathematics, University of Bergen, Johannes Brunsgt. 12, 5007 Bergen, Norway E-mail: [email protected] c Department of Informatics and Department of Mathematics, University of Oslo, P.O. Box 1080 Blinder...

Introduction Conclusions References

In 2004, the playing field size of the small sized league was significantly increased, posing new challenges for all teams. This paper describes extensions to our current video server software (Doraemon) to deal with these new challenges. It shows that a camera with a side view is a workable alternative to the more expensive approach of using multiple cameras. The paper discusses the camera cal...