Deformable image registration is a fundamental task in medical image processing. Among
its most important applications, one may cite: 1) multi-modality fusion, where information …

This review paper presents a methodological study on possible and existing meshfree
methods for solving the partial differential equations (PDEs) governing solid mechanics …

Radial basis function methods are modern ways to approximate multivariate functions,
especially in the absence of grid data. They have been known, tested and analysed for …

Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking
WorkReflecting the significant advances made in the field since the publication of its …

The finite difference method (FDM) hasbeen used tosolve differential equation systems for
centuries. The FDM works well for problems of simple geometry and was widely used before …

In this paper the authors derive a higher-order shear deformation theory for modeling
functionally graded plates accounting for extensibility in the thickness direction. The explicit …

A new mesh movement algorithm for unstructured grids is developed which is based on
interpolating displacements of the boundary nodes to the whole mesh with radial basis …

We develop a multiresolution model to predict two-dimensional spatial fields based on
irregularly spaced observations. The radial basis functions at each level of resolution are …

Interpolation of a spatially correlated random process is used in many scientific areas. The
best unbiased linear predictor, often called a kriging predictor in geostatistical science …

Maximum likelihood is an attractive method of estimating covariance parameters in spatial
models based on Gaussian processes. But calculating the likelihood can be computationally …