A POD-selective inverse distance weighting method for fast parametrized shape morphing

Spatial Interpolation via Inverse Path Distance Weighting

The R package ipdw provides functions for interpolation of georeferenced point data via Inverse Path Distance Weighting. Useful for coastal marine applications where barriers in the landscape preclude interpolation with Euclidean distances. This method of interpolation requires significant computation and is only practical for relatively small and coarse grids. The ipdw implementation may provi...

A Comparison on Function of Kriging and Inverse Distance Weighting Models in PM10 Zoning in Urban Area

Introduction: The present study aimed to compare the performance of two widely-used models for spatial assessment of particulate matter less than 10 microns (PM10) in ambient air of Yazd city. Finally, effective factors on concentrations of pollutants and corresponding standards were investigated. Materials and Methods: A number of 13 sampling stations were employed in different areas of Yazd ...

A Method for Defuzzication by Weighted Distance

Efficient POD reduced-order modeling for parametrized nonlinear PDE systems

In this paper a model order reduction method for a nonlinear elliptic-parabolic system is developed. Systems of this type arise from mathematical models for lithium ion batteries. A non-intrusive reduced order approach based on proper orthogonal decomposition (POD) is presented. In addition to this the interpolation method introduced by Barrault et al. [3] is applied in order to achieve efficie...

Fast Morphing of Triangular Meshes in Shape Space

We present a novel approach to morph between two isometric poses of the same non-rigid object given as triangular meshes. We model morphs as linear interpolations in a suitable shape space S. For triangulated 3D polygons, we prove that interpolating linearly in this shape space corresponds to the most isometric morph in R. We then extend this shape space to arbitrary triangulations in 3D using ...