is generalized to all algebraic number fields and it is proved that the generalized Voronoi algorithm computes the fundamental units of all algebraic number fields of unit rank 1, i.e., of the real quadratic fields, of the complex cubic fields, and of the totally complex quartic fields.doi...
Li Ming, Hu Jingqiao, Chen Wei, Kong Weipeng, Huang Jin (2023) Explicit topology optimization of conforming voronoi foams. arXiv preprintarXiv:2308.04001 Jetté B, Brailovski V, Dumas M, Simoneau C, Terriault P (2018) Femoral stem incorporating a diamond cubic lattice structure: Design, man...
A visualization of this algorithm can be found here: https://www.youtube.com/watch?v=xAVL4qz_2AE 6. Polygon clipping Greiner-Hormann method Sutherland-Hodgman method 7. Extrude mesh along curve Catmull-Rom splines Bezier curves Linear Quadratic Cubic Operations on curves Methods so you can...
In the next step, the porosity was controlled by scaling all individual cells with the same algorithm used for pre-scaling. With the scale factor f, the porosity φ can be controlled with(3)φ(f)=1−fV∑mNVm,before the first contact between two arbitrary spheres, where V is the ...
Step 4: Geometry reconstruction and remeshing algorithm The finite strain simulations in the previous step often lead to severe mesh distortion and eventual termination of the numerical simulations before reaching the desired porosity. Even if one reaches the prescribed final porosity, the resulting mesh...