Parallel B-Spline Surface Interpolation on a Mesh-Connected Processor Array

1995 ◽  
Vol 24 (2) ◽  
pp. 224-229
Author(s):  
F.H. Cheng ◽  
G.W. Wasilkowski ◽  
J.Y. Wang ◽  
C.M. Zhang ◽  
W.P. Wang
Keyword(s):  
Processor Array ◽  
B Spline ◽  
Surface Interpolation ◽  
Spline Surface

scholarly journals A Reconstruction Algorithm for Blade Surface Based on Less Measured Points

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Jia Liu ◽  
Ji Zhao ◽  
Xu Yang ◽  
Jiming Liu ◽  
Xingtian Qu ◽  
...  
Keyword(s):  
Reconstruction Algorithm ◽  
Surface Model ◽  
Machining Accuracy ◽  
Blade Surface ◽  
B Spline ◽  
Design Concepts ◽  
Surface Interpolation ◽  
Spline Surface ◽  
Machining Allowance ◽  
Curvature Continuity

A reconstruction algorithm for blade surface from less measured points of section curves is given based on B-spline surface interpolation. The less measured points are divided into different segments by the key geometric points and throat points which are defined according to design concepts. The segmentations are performed by different fitting algorithms with consideration of curvature continuity as their boundary condition to avoid flow disturbance. Finally, a high-quality reconstruction surface model is obtained by using the B-spline curve meshes constructed by paired points. The advantage of this algorithm is the simplicity and effectivity reconstruction of blade surface to ensure the aerodynamic performance. Moreover, the obtained paired points can be regarded as measured points to measure and reconstruct the blade surface directly. Experimental results show that the reconstruction blade surface is suitable for precisely representing blade, evaluating machining accuracy, and analyzing machining allowance.

A Subassembly Simulation Method with Physical Deformation and Reconstruction of an Aircraft

2013 ◽  
Vol 420 ◽  
pp. 3-8
Author(s):  
Yong Gang Kang ◽  
Fei Yan Guo ◽  
Ting Xu ◽  
Jie Huang ◽  
Cong Ren
Keyword(s):  
Finite Element Method ◽  
Simulation Method ◽  
Assembly Process ◽  
Model Reconstruction ◽  
B Spline ◽  
Surface Interpolation ◽  
Simulation Process ◽  
Spline Surface ◽  
Thin Walled ◽  
Structural Parts

In order to include the physical deformation of the large thin-walled structure in the subassembly simulation process in aerospace, a new method based on model reconstruction was proposed. Firstly, finite element method is applied for calculating the deformation of the structural parts according to different assembly status with certain temperature and stress field. Based on the actual deformation data of the surface, some reference point was selected and the method of bicubic B-spline surface interpolation is selected to reconstruct the above surface, and to express the deformed structural parts. Based on physical deformation, a compensating method is proposed to amend assembly path in corresponding assembly process with the constructed model. Under the DELMIA virtual environment with the real, the simulation method has been put in to use on aircraft sidewall panel assembly, and the validity of the method is verified experimentally.

As-developable-as-possible B-spline surface interpolation to B-spline curves

2020 ◽  
Vol 79 ◽  
pp. 101863
Author(s):  
Pengbo Bo ◽  
Yujian Zheng ◽  
Dianhui Chu ◽  
Caiming Zhang
Keyword(s):  
B Spline ◽  
Surface Interpolation ◽  
Spline Surface ◽  
Spline Curves

The Synthesis of Follower Motions of Camoids Using Nonparametric B-Splines

1996 ◽  
Vol 118 (1) ◽  
pp. 138-143 ◽  
Author(s):  
Der Min Tsay ◽  
Guan Shyong Hwang
Keyword(s):  
Spline Functions ◽  
B Spline ◽  
Numerical Examples ◽  
B Splines ◽  
Surface Interpolation ◽  
Spline Surface ◽  
Motion Function ◽  
Knot Sequences ◽  
Independent Parameters

This paper proposes a tool to synthesize the motion functions of the camoid-follower mechanisms. The characteristics of these kinds of motion functions are that they possess two independent parameters. To implement the work, this study applies the nonparametric B-spline surface interpolation, whose spline functions are constructed by the closed periodic B-splines and the de Boor’s knot sequences in the two parametric directions of the motion function, respectively. The rules and the restrictions needed to be noticed in the process of synthesis are established. Numerical examples are also given to verify the feasibility of the proposed method.

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