Many interpolation methods have been developed for high visual quality, but fail for inability to preserve image structures. Edges carry heavy structural information for detection, determination and classification. Edge-adaptive interpolation approaches become a center of focus. In this paper, performance of four edge-directed interpolation methods comparing with two traditional methods is eval...

The Fundamental Principle of Ehrenpreis asserts that any solution (in an appropiate functional space, which we will assume, to simplify, is the space of C∞ functions in R) of a system of homogeneous linear partial differential equations with constant coefficients in R, n ≥ 2, can be can be represented in terms of the exponential polynomials solutions of the system [Ehr, Pal, Bjo]. Another way t...

We propose a new broadcast encryption scheme based on polynomial interpolations. Our scheme, obtained from the Naor-Pinkas scheme by partitioning the user set and interpolating multiple polynomials, turns out to be better in efficiency than the best known broadcast schemes like the Subset Difference and the Layered Subset Difference methods, which are tree based schemes. More precisely, when r ...

This paper investigates spatiotemporal interpolation methods for the application of air pollution assessment. The air pollutant of interest in this paper is fine particulate matter PM2.5. The choice of the time scale is investigated when applying the shape function-based method. It is found that the measurement scale of the time dimension has an impact on the interpolation results. Based upon t...

This paper is concerned with the evaluation of methods for scattered data interpolation and some of the results of the tests when applied to a number of methods. The process involves evaluation of the methods in terms of timing, storage, accuracy, visual pleasantness of the surface, and ease of implementation. To indicate the flavor of the type of results obtained, we give a summary table and r...

An important problem between specialists is the interpolation of the surfaces determined by classics or modern techniques. Choosing the proper technique is practically a rigorous study regarding all the interpolation methods and using that method according to the needs of the project. The determination of the Digital terrain model, the digital surface model from GNSS, LiDAR or classic measureme...