Yang. Thin plate spline radial basis function for the free vibration analysis of laminated composite shells. Composite Structures, 93(2):611-615, 2011.Xiang, S., Bi, Z.Y., Jiang, S.X., Jin, M.S., Yang, Y.X.: Thin plate spline radial basis function for the free vibration analysis...
We present a meshless method based on thin plate radial basis function method for the numerical solution of advection-difusion equation, which has been a long standing problem. The effciency of the method in terms of computational processing time, accuracy and stability is discussed. The results ...
This paper is concerned with approximation properties of linear combinations of scattered translates of the thin-plate spline radial basis function |·|2log|·| where the translates are taken in the unit disk D inR2. We show that the Lpapproximation order for this kind of approximation is 2 +...
Fast solution of the radial basis function interpolation equations: Domain decomposition methods SIAM Journal of Scientific Computing, 22 (5) (May 2000), pp. 1717-1740 [5] R.K.M. Beatson J. D. Powell. An iterative method for thin plate spline interpolation that employs approximations to lagra...
w = self._spline_mappings[:n] a = self._spline_mappings[n:] transformed_coords = a[0] + np.dot(coords, a[1:]) + np.dot(radial_dist, w) return transformed_coords @staticmethod def _radial_basis_kernel(r): """Compute the radial basis function for thin-plate splines. Parameters -...
1)charge covered with a thin plate薄盖板装药 1.The fragment impact initiation of the charge covered with a thin plate was researched.研究破片对薄盖板装药的冲击起爆问题。 2)covered explosive盖板炸药 1.Based on the one-dimensional energy criterion of explosives shock initiation,considering the shock...
We use the quartic B-spline function: (8) with s = (X − XI)/2h. The test and trial functions have the structure of (4). Substituting them into the weak formulation leads to the following equation: (9) After some algebraic operations, the well-known equation of motion is ...
examining how shear deformation and rotary inertia influence natural frequencies. Additional methods such as the mixed Ritz-differential quadrature method [24], Ritz energy method [25,26,27,28], chaotic radial basis function [29], discrete singular convolution method [30,31,32,33], Chebyshev–Ritz...
a radial basis function-shaped surface, an x-y polynomial-shaped surface, or a non-uniform rational b-spline-shaped surface. In some embodiments, at least some of the components of the lightguide 120 of the device 100 operate, due to their arrangement relative to one another and their compo...
Thin Plate Spline(TPS,薄板样条)插值是常用的2D插值方法。它的物理意义是:假设在原形状中有 个点 ,这 个点在形变之后新坐标之下对应新的 个点 。用一个薄钢板的形变来模拟2D形变,确保这 个点能够正确匹配,那么怎样的形变,可以使钢板的弯曲能量最小?TPS插值是这个问题的数值解法。