Investigation of the Mathematical and Software Implementation of Triangulation Mesh Generation Algorithms in Relation to the Creation of a Slicer Program

Abstract

The article discusses an algorithmic method for increasing the strength characteristics of products produced by additive manufacturing technologies through thickening the internal grid structure of filling the model when transferring to the control code during the operation of the slicer program. It shows the internal filling using the Voronoi grid and the "Exhaustion Algorithm" for the implementation of the internal filling of the threedimensional model in the process of the slicer program.

Representing Functions in H2 on the Kepler Manifold via WPOAFD Based on the Rational Approximation of Holomorphic Functions

“…Thus, the function space H 2 (B, |ω n | n! exp −νφ) is an RKHS with reproducing kernel in Equation (13).…”

“…Proof. The proof is straightforward by Theorem 1 when we constrained functions on B with a reproducing kernel in Equation (13).…”

“…The RKHS method is applied to fractional partial differential equations [12] and shows the potential to perform well compared with the finite difference method, the finite element method, and the finite volume method. There is some other work, please see [13][14][15] for details.…”