Simplified quadrilateral grid generation of complex free-form gridshells by surface fitting

2021 ◽  
pp. 103827
Author(s):  
Zhiwei Shan ◽  
Lijie Chen ◽  
Qisheng Wang ◽  
Hui Wu ◽  
Boqing Gao
Keyword(s):  
Grid Generation ◽  
Surface Fitting ◽  
Free Form

Free form surface fitting onto cloud data

2003 ◽  
Vol 2003.43 (0) ◽  
pp. 210-211
Author(s):  
Motoaki NISHIO ◽  
Takayuki GOTOH
Keyword(s):  
Surface Fitting ◽  
Free Form ◽  
Cloud Data ◽  
Free Form Surface

scholarly journals A practical grid generation procedure for the design of free-form structures

2018 ◽  
Vol 196 ◽  
pp. 292-310 ◽  
Author(s):  
Boqing Gao ◽  
Tierui Li ◽  
Teng Ma ◽  
Jun Ye ◽  
Jurgen Becque ◽  
...  
Keyword(s):  
Grid Generation ◽  
Free Form ◽  
Generation Procedure ◽  
Free Form Structures

Localizing the 4-Split Method for G1 Free-Form Surface Fitting

2001 ◽  
pp. 185-198
Author(s):  
S. Hahmann ◽  
G.-P. Bonneau ◽  
R. Taleb
Keyword(s):  
Surface Fitting ◽  
Free Form ◽  
Split Method ◽  
Free Form Surface

Curve and Surface Fitting by Means of Rational B-Spline Functions

2008 ◽  
Author(s):  
Antonio Carminelli ◽  
Giuseppe Catania
Keyword(s):  
Control Point ◽  
Optimization Procedure ◽  
Surface Fitting ◽  
Free Form ◽  
Second Step ◽  
B Spline ◽  
Best Fitting ◽  
Curve And Surface Fitting ◽  
The Mathematical Model ◽  
Least Squares Approach

This paper presents a method to obtain the mathematical model of a free-form curve or a surface fitting a set of point coordinates by a rational B-spline (NURBS) formulation in the homogeneous R4 space. A method to evaluate the control points R4 coordinates is proposed by means of a two step process. In the first step, NURBS weights are evaluated by means of an optimization procedure making it possible to evaluate the best fitting parameterization as well. In the second step, the control point coordinates are computed by means of a linear least squares approach.

A triangular grid generation and optimization framework for the design of free-form gridshells

2019 ◽  
Vol 113 ◽  
pp. 96-113 ◽  
Author(s):  
Qi-sheng Wang ◽  
Jun Ye ◽  
Hui Wu ◽  
Bo-qing Gao ◽  
Paul Shepherd
Keyword(s):  
Grid Generation ◽  
Free Form ◽  
Triangular Grid ◽  
Optimization Framework

A new free-form surface fitting method for precision coordinate metrology

Wear ◽  
2009 ◽  
Vol 266 (5-6) ◽  
pp. 543-547 ◽  
Author(s):  
X. Zhang ◽  
X. Jiang ◽  
P.J. Scott
Keyword(s):  
Surface Fitting ◽  
Free Form ◽  
Fitting Method ◽  
Coordinate Metrology ◽  
Free Form Surface
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