A range of spatial
interpolation methods are available from simple predictions to sophisticated and complex procedures (Sun et al, 2009).
In this paper, a spatial
interpolation algorithm for the saddle-shaped curve is proposed by using the variable angle
interpolation control method for the
interpolation stepping angle and establishes welding torch pose model and trajectory model based on space analytic geometry.
The solid lines are values of the given
interpolations and the dotted lines indicate the minimum values of the solid lines, respectively.
Mass attenuation coefficient ([mu]/[rho]) was calculated by (2) according to logarithmic
interpolation (LI) as shown in Figure 2(a) [12, 13].
In total, low order versions of piecewise Hermite
interpolation are widely used and when we take more knots, the error breaks down uniformly to zero.
and is the contribution from the three linear
interpolations between the opposite faces.
When the rotation angle is not a multiple of 90[degrees], an image
interpolation operation is needed to build the relationships of the reconstructed images before and after rotation.
Immediate examples of application are the obtention of more compact closed forms for experimental curves and the capability of performing better conditioned Vandermonde
interpolations. Much research is still to be done in order to obtain systematic variable-rank
interpolations which may unveil the power of the new operators.
Mathematics and computer science are interested in methods of 2D curve
interpolation and extrapolation using the set of key points (knots).
One particularly noteworthy technical limitation is that this study looks only at
interpolations to "integer order," i.e.,
interpolations to 2n-1 data points.
The Inverse Distance Weighting (IDW) algorithm is one of the most commonly used spatial
interpolation methods in Geosciences mainly due to its straightforward implementation.
Various
interpolation methods have been used by researchers to solve this problem but their accuracies vary in different climates.
