We examined interpolation in 6- and 9-year-old children and in adults, in the two most common forms of fragmentation: subjective and partially occluded contours. Experiment 1 examined the effects on adults' interpolation of contour geometry, specifically, the effect of a scale-dependent factor (i.e., retinal size) and a scale-independent factor (i.e., support ratio). For both subjective and par...

Using a residuum approach, we provide complete description of the space rational spatial curves given tangent directions. The Pythagorean hodograph are obtained as special case when norm direction field is perfect square. basis for curve explicitly. Consequently number interpolation problems (G1, C1, C2, C1/G2) in this become linear, cusp avoidance can be encoded by linear inequalities, and opt...

This article presents a comparison of different interpolation techniques both in the spatial and frequency domains. Various methods are presented, from a very simple linear interpolation to more complex cubic convolution. The Fourier analysis is used to compare the methods in the frequency domain. Methods are compared by doubling the images in both spatial directions and calculating the signal-...

The estimation of pollution fields, especially in densely populated areas, is an important application in the field of environmental science due to the significant effects of air pollution on public health. In this paper, we investigate the spatial distribution of three air pollutants in Tehran’s atmosphere: carbon monoxide (CO), nitrogen dioxide (NO2), and atmospheric particulate matters less ...

Groundwater aquifers are an important source of water supply for agriculture, industry and drinking. The present study investigates the changes in the quality of groundwater using geostatistical methods in the Ravar plain during a 10-year period. In this study, after selecting the appropriate spatial interpolation method to draw water quality parameters such as TDS, SAR and EC, zoning maps of R...

Quasi-interpolation is very useful in the study of approximation theory and its applications, since it can yield solutions directly without the need to solve any linear system of equations. Based on the good performance, Chen and Wu presented a kind of multiquadric (MQ) quasi-interpolation, which is generalized from the LD operator, and used it to solve hyperbolic conservation laws and Burgers’...

As being an essential tool for estimating spatial continuous data, interpolation methods have been applied to various disciplines concerned with the Earth’s surface. In the paper, six spatial interpolation algorithms, including an internationally popular ANUDEM method and five other commonly used interpolation methods, were applied in three different landform regions, that is, hills, mountains ...