Interpolation methods are an important part in a geographical information system (GIS) and have been used for years to model elevation data. They are crucial in the visualisation process (generation of contours), for the conversion of data from one format to another, to have a better understanding of a dataset or simply to identify bad samples. The result of interpolation—usually a surface that...

The concept of GRASS (Geographic Resources Analysis Support System) as an open system has created a favorable environment for integration of process based modeling and GIS. To support this integration a new generation of tools is being developed in the following areas: a) interpolation from multidimensional scattered point data, b) analysis of surfaces and hypersurfaces, c) modeling of spatial ...

Many rendering or image-analysis systems require calculation of versions of an image at lesser resolutions than the original. Because the filtering required to perform such calculations accurately cannot typically be done in real time, many systems use interpolation between images at precalculated resolutions. This discrete sampling of the scale component of multiresolution image spaces is anal...

A method is presented to suppress grating lobes in beamforming using phase unwrapping and array interpolation. When the phase of each cross spectrum is successfully unwrapped, the magnitude and phase of the cross spectral matrix may be interpolated; for cases where these quantities vary smoothly, interpolation is straightforward, even above the spatial Nyquist frequency. Two applications are pr...

Radial basis functions appear in a wide field of applications in numerical mathematics and computer science. We present a fast algorithm for scattered data interpolation and approximation on the sphere with spherical radial basis functions of different spatial density. We discuss three settings, each leading to a special structure of the interpolation matrix allowing for an efficient implementa...

In this study, the suitable areas for soybean in China were presented by GIS-based Multi-Criteria Evaluation (MCE) approach. We collected datas of environmental conditions and soybean growth associated factors, then, by the GIS technology we established spatial database of regional weather, topography, and soil conditions. Using the Spatial Analyst, the Spatial Interpolation, the Reclassificati...

We extend the rendering technique for continuous scatterplots to allow for a broad class of interpolation methods within the spatial grid instead of only linear interpolation. To do this, we propose an approach that projects the image of a cell from the spatial domain to the scatterplot domain. We approximate this image using either the convex hull or an axis-aligned rectangle that forms a tigh...

in this article, a numerical approximation to the solution of the newell-whitehead equation (nwe) and cauchy problem of ill-posed non-linear diffusion equation have been studied. the presented scheme is obtained by using the derivative of the cubic b-spline quasi-interpolation (bsqi) to approximate the spatial derivative of the dependent variable and first order forward difference to approximat...

Basically, the quality of an image can be evaluated on its spatial and spatial-frequency resolutions, image interpolation and superresolution are perhaps the way to respectively produce high spatial and spatial-frequency resolutions of images especially for a single downsampled image. For convenience, the term “hyper-resolution” used here represents the approach to enhancing both the spatial an...

Ambient ozone (O(3)) is an important phytotoxic pollutant, and detailed knowledge of its spatial distribution is becoming increasingly important. The aim of the paper is to compare different spatial interpolation techniques and to recommend the best approach for producing a reliable map for O(3) with respect to its phytotoxic potential. For evaluation we used real-time ambient O(3) concentratio...