Interpolation algorithm

Gaylor, D.W. and Kodell, R.L. (1980). Linear interpolation algorithm for low dose risk assessment of toxic substances, J. Environ. PathoL Ibxicol. 4,305. 

A spatiotemporal interpolation algorithm based on the differential approximation method... 

A large number of explicit numerical advection algorithms were described and evaluated for the use in atmospheric transport and chemistry models by Rood [162], and Dabdub and Seinfeld [32]. A requirement in air pollution simulations is to calculate the transport of pollutants in a strictly conservative manner. For this purpose, the flux integral method has been a popular procedure for constructing an explicit single step forward in time conservative control volume update of the unsteady multidimensional convection-diffusion equation. The second order moments (SOM) [164, 148], Bott [14, 15], and UTOPIA (Uniformly Third-Order Polynomial Interpolation Algorithm) [112] schemes are all derived based on the flux integral concept. 

ULTRA Universal Limiter for Tight Resolution and Accuracy UTOPIA Uniformly Third-Order Polynomial Interpolation Algorithm VOF Volume Of Fluid CV Control Volume... 

This completes the data input stage, and we now consider the actual interpolation algorithm. First we determine the x-value in the table with a value closest to that of xx, and find its index (i.e., its rank number in the data set) NClosest. We then make sure that there are at least three points on either side of NClosest, otherwise we cannot use our seven-point interpolation routine reliably. Again, insert the following code fragment at the end of the macro, just before the End Sub line ... 

F. N. Fritsch and J. Butland, An Improved Monotone Piecewise Cubic Interpolation Algorithm, Lawrence Livermore National Laboratory Preprint UCRL-85104 (1980). 

A number of good reviews on TS optimization have appeared in recent years [9,11, 12,21,23-25,128]. In this section, we provide an overview of the three general classes of TS optimization methods—local schemes (Section 10.4.1), climbing, bracketing, and interpolation algorithms (Section 10.4.2), and path optimization approaches (Section 10.4.3). In Section 10.4.4 we discuss practical considerations related to TS optimization and offer suggestions for difficult cases. 

The swap curve depicts the relationship between the term structure and swap rates. The swap curve consists of observed market interest rates, derived from market instruments that represent the most liquid and dominant instruments for their respective time horizons, bootstrapped and combined using an interpolation algorithm. This section describes a complete methodology for the construction of the swap term structure. 

Because digital images are sampled on a discrete grid, but T generally maps to continuous values, interpolation of intensities is required. The interpolation process can affect the effectiveness of the registration, so that the choice of an appropriate interpolation algorithm plays an important role in the development of the registration procedure. 

A more effective interpolation algorithm is the trilinear interpolation (bilinear in 2D images) where the value of recomputed voxels is evaluated as the weighted sum of the neighboring voxels. This technique introduces new gray values in the interpolated image. 

Figure 6.14 shows the previously described interpolation algorithms. 

Moreover, the degree to which partial volume effects distort polyp morphology is determined by polyp size relative to the effective section thickness and section sensitivity profile, which are primarily a function of collimation, pitch and interpolation algorithm. For SSCT protocols with 3 mm and 5 mm collimation and pitch ranging between one and two, excellent depiction of 6-mm and 13-mm pedunculated polyps and 10 3 mm sessile polyps can be... 

Rubin GD, Dake MD, Semba CP (1995) Current status of three-dimensional spiral CT scanning for imaging the vasculature. Radiol Clin North Am 33 51-70 (Review) Schaller S, Flohr T, Klingenbeck K, Krause J, Fuchs T, Kalender WA (2000) Spiral interpolation algorithm for multislice spiral CT-Part I Theory. IEEE Trans Med Imag 19 822-834... 

The usage of univariate distributions for sampling initial conditions is based on the assumption that the uncertain parameters are not correlated with each other. Quite often uncertain parameters are subject to correlations and thus the univariate approach is not applicable. This happens when a generic outcome is dependent on different phenomena simultaneously (i.e. the outcome dependency description can not be collapsed to a function of a single variable). RAVEN currently supports both N-Dimensional (N-D) PDFs. The user can provide the distribution values on either Cartesian or sparse grid, which determines the interpolation algorithm used in the evaluation of the imported CDF/PDF ... 

A spatial frequency low-pass filter can reduce the high-frequency noise generated by the camera, and ensure that the subpixel interpolation algorithm can still work in cases where the particles in the image map are less than 2 pixels in diameter. Typical image to vector processing sequence is shown in Fignre 4-63. 

Uniformly Third-Order Polynomial Interpolation Algorithm... 

Each horizon is picked in this way. The resulting scattered data sets are then passed to a mapping package, an embodiment of one or more of the many scattered data interpolation algorithms reviewed in Section 4. 

A, 106,4957 (2002). Interpolated Algorithm for Large-Curvature Tunneling Calculations of Transmission Coefficients for Variational Transition State Theory Calculations of Reaction Rates. 

The single-wire system is widely used in cost-sensitive consumer applications where it measures temperature, voltage, and current and computes remaining charge. The system clock is embedded internally, hi many cases, the current is not measured, but interpolated algorithmically. More sophisticated battery data, such as state-of-health (SoH) can be obtained if the battery pack is married to its host appliance (e.g., notebook computer). Software/firmware in the host provides further and enhanced analysis of the data over the life of the battery. 

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