adaptive discretization
Recently Published Documents


TOTAL DOCUMENTS

73
(FIVE YEARS 9)

H-INDEX

16
(FIVE YEARS 1)

2020 ◽  
Vol 39 (7) ◽  
pp. 143-154
Author(s):  
Jiahao Wen ◽  
Jiong Chen ◽  
Nobuyuki Umetani ◽  
Hujun Bao ◽  
Jin Huang

2020 ◽  
Vol 48 (1) ◽  
pp. 17-18
Author(s):  
Sean R. Sinclair ◽  
Siddhartha Banerjee ◽  
Christina Lee Yu

2019 ◽  
Vol 37 (5) ◽  
pp. 1663-1682
Author(s):  
Jianming Zhang ◽  
Chuanming Ju ◽  
Baotao Chi

Purpose The purpose of this paper is to present a fast algorithm for the adaptive discretization of three-dimensional parametric curves. Design/methodology/approach The proposed algorithm computes the parametric increments of all segments to obtain the parametric coordinates of all discrete nodes. This process is recursively applied until the optimal discretization of curves is obtained. The parametric increment of a segment is inversely proportional to the number of sub-segments, which can be subdivided, and the sum of parametric increments of all segments is constant. Thus, a new expression for parametric increment of a segment can be obtained. In addition, the number of sub-segments, which a segment can be subdivided is calculated approximately, thus avoiding Gaussian integration. Findings The proposed method can use less CPU time to perform the optimal discretization of three-dimensional curves. The results of curves discretization can also meet requirements for mesh generation used in the preprocessing of numerical simulation. Originality/value Several numerical examples presented have verified the robustness and efficiency of the proposed algorithm. Compared with the conventional algorithm, the more complex the model, the more time the algorithm saves in the process of curve discretization.


Sign in / Sign up

Export Citation Format

Share Document