This paper presents a new lattice structure for linear interpolation. The interpolation lattice structure is asymmetric in the sense that the number of past and future values linearly weighted to estimate the current value does not have to be identical. The lattice structure provides a computationally efficient and structurally flexible realization for the interpolation lattice. It also leads t...

This study investigates the effects of the number of interpolation points on the prediction accuracy of segment angle trajectory during lifting. Ten participants performed various lifting tasks while a motion tracking system recorded their movements. Two-point through ten-point equal time-spaced segment angles extracted from major segment trajectory data captured by the motion tracking system w...

In this paper, we consider two interpolations of Birkhoff-type with integer-order derivative. The Birkhoff interpolation is related with collocation method for the corresponding initial or boundary value problems of differential equations. The solvability of the interpolation problems is proved. For Gauss-type interpolating points, error of interpolation approximation is deduced. Also, we give ...

watermarking implant information into a digital signal like audio, Picture, or video. Reversible Picture watermarking can bring back the original picture without any distortion after the hidden data is extracted. In this paper, we present a novel reversible watermarking scheme using an interpolation procedure, which can embed a large amount of covert data into Pictures with imperceptible modifi...

An adaptive decision based inverse distance weighted interpolation (DBIDWI) algorithm for the elimination of highdensity salt and pepper noise in images is proposed. The pixel is initially checked for salt and pepper noise. If classified as noisy pixel, replace it with an inverse distance weighted interpolation value. This interpolation estimates the values of corrupted pixels using the distanc...

In this paper, Kriging has been chosen as the method for surrogate construction. The basic idea behind Kriging is to use a weighted linear combination of known function values to predict a function value at a place where it is not known. Kriging attempts to determine the best combination of weights in order to minimize the error in the estimated function value. Because the actual function value...