Three-dimensional contour interpolation: Testing the 90-degree constraint

Analytic Interpolation and the Degree Constraint

Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this m...

The interpolation problem with a degree constraint

631 to any tangent hyperplane to U(x) at V 2 (x) = B is bounded away from 0 and 1. To conclude, we have established the following finite algorithm for computing optimal strategies for the constrained problem. Algorithm 3: 1. Check for the cases in Theorems 2 and 3. 2. If they do not hold, compute bounds for b using Lemma 6 and Algorithm 2.

Contour Generation by Interpolation

Three-Dimensional Lookup Table with Interpolation

Color space transformation using a 3D lookup table (LUT) with interpolation is used to correlate the source and destination color values in the lattice points of a 3D table, where nonlattice points are interpolated by using the nearest lattice points. This method has been used in many applications with quite satisfactory results, and incorporated into the ICC profile standard.1 In this chapter,...

Contour Generation by Interpolation