Introduction It has long been established that the appropriate way of reslicing volume MR images is to use the method of sine interpolation [l, 31. We have have found, like other authors before us, that large convolution kernels are needed in order to produce accurate reslice data. However, we have found that the major component of the error introduced from interpolation with small kernels, is ...

Image interpolation has been used spaciously by customary interpolation techniques. Recently, Kriging technique has been widely implemented in simulation area and geostatistics for prediction. In this article, Kriging technique was used instead of the classical interpolation methods to predict the unknown points in the digital image array. The efficiency of the proposed technique was proven usi...

Managing and hedging the risks associated with Variable Annuity (VA) products requires intraday valuation of key risk metrics for these products. The complex structure of VA products and computational complexity of their accurate evaluation has compelled insurance companies to adopt Monte Carlo (MC) simulations to value their large portfolios of VA products. Because the MC simulations are compu...

Managing and hedging the risks associated with Variable Annuity (VA) products require intraday valuation of key risk metrics for these products. The complex structure of VA products and computational complexity of their accurate evaluation have compelled insurance companies to adopt Monte Carlo (MC) simulations to value their large portfolios of VA products. Because the MC simulations are compu...

Linear interpolation requires a single multiplication but is signiicantly less accurate than quadratic interpolation. The latter requires two multiplications. Two novel quadratic interpolation schemes are shown here that approximate the functions required by the Logarithmic Number System (LNS) with more accuracy than linear interpolation using only a single multiplication. One method uses two R...

A novel interpolation algorithm, fuzzy interpolation, is presented and compared with other popular interpolation methods widely implemented in industrial and manufacturing applications. Different interpolation algorithms have been developed, reported and implemented in many industrial applications in recent years. Most of them are based on looking for the optimal interpolation trajectories base...

The concept and the computation of terrain representation error (ETR) are investigated and total DEM error is presented as an accuracy index for DEM evaluation at a global level. A promising method of surface modelling based on the theorem of surfaces (SMTS) has been developed. A numerical test and a real-world example are employed to comparatively analyze the simulation accuracy of SMTS and th...

Gaussian convolutions are perhaps the most often used image operators in low-level computer vision tasks. Surprisingly though, there are precious few articles that describe efficient and accurate implementations of these operators. In this paper we describe numerical approximations of Gaussian convolutions based on interpolation. We start with the continuous convolution integral and use an inte...

This correspondence points out that an algorithm proposed as a new digitizing method is, in fact, an extension of the linear interpolation design. Unlike previously published extensions, which incorporate the interpolation step into the to -domain mapping step, this algorithm cascades the interpolator and the analog filter. Original design formulas derived for a rigorous comparison support the ...