Abstract: The irregular surface topography has significant effects on seismic wave propagation, including introduction of free surface-related multiples, strong scattering, and distortion of the ...

Today, we discussed polynomial interpolation. Given n+1 datapoints of the form (x 0, f 0), …, (x n, f n), with the x i all distinct, there is a unique polynomial p n (x) of degree at most n such that ...

Abstract: Implementing Non-Uniform Rational B-Splines in motion controllers involves challenges like computational complexity, parameterization issues, high-fidelity interpolation needs, real-time ...

Some definitions on stability of interpolating process are given and then the sufficient and necessary conditions are obtained. On this basis, we conclude that the Lagrange interpolation is unstable, ...

An efficient piezoelectric sandwich beam finite element is presented here. It employs the coupled polynomial field interpolation scheme for field variables which incorporates electromechanical ...

The demo notebook contains and example of the self-attention interpolation architecture used in the below citation: https://arxiv.org/abs/2507.09460 @article ...

Abstract: Recent studies show strong generative performance in domain translation especially by using transfer learning techniques on the unconditional generator. However, the control between ...