scholarly journals Investigation of the precision of curved surface fitting in the measurement of near-cylindrical surfaces’ mid-wavelength deformations

2005 ◽  
Vol 54 (7) ◽  
pp. 3144
Author(s):  
Xie Ben-Chao ◽  
Lu Zhen-Wu ◽  
Li Feng-You
Keyword(s):  
Surface Fitting ◽  
Curved Surface ◽  
Fitting In

scholarly journals Surface fitting in geomorphology — Examples for regular-shaped volcanic landforms

Geomorphology ◽  
2014 ◽  
Vol 221 ◽  
pp. 139-149 ◽  
Author(s):  
M. Favalli ◽  
D. Karátson ◽  
J. Yepes ◽  
L. Nannipieri
Keyword(s):  
Surface Fitting ◽  
Fitting In

scholarly journals Study on Curved Surface Fitting of Countersink Based on Point Cloud

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 106464-106470
Author(s):  
Jiming Sa ◽  
Hanwen Gu ◽  
Yilun An ◽  
Yijie Luo ◽  
Zhushanying Zhang
Keyword(s):  
Point Cloud ◽  
Surface Fitting ◽  
Curved Surface

929 Surface Fitting in Reverse Engineering

2008 ◽  
Vol 2008.21 (0) ◽  
pp. 379-380
Author(s):  
Wei Li ◽  
Zhuoqi Wu ◽  
Ichiro Hagiwara ◽  
Junichi Shinoda
Keyword(s):  
Reverse Engineering ◽  
Surface Fitting ◽  
Fitting In

scholarly journals General Curved Surface Fitting and Calculation of Flow Along Arbitrarily Twisted Stream Surface

1985 ◽  
Author(s):  
Wu Wenquan ◽  
Yu Haoyu
Keyword(s):  
Stream Function ◽  
Engineering Application ◽  
Small Deformation ◽  
Surface Fitting ◽  
Curved Surface ◽  
Coordinate Surface ◽  
Stream Surface ◽  
Curvilinear Coordinate ◽  
Orthogonal Curvilinear Coordinate System ◽  
Stream Lines

This paper consists of two parts. (1) General curved surface fitting and grid refining. A method of fitting a set of given discrete points on several stream lines to give a smooth and arbitraily twisted stream surface was developed. Based upon the small deformation theory for thin plate, the Kirchhoff’s Equation was solved and twofold transformations were incorporated. The first step is the transformation from physical surface into computational surface and the second is affine transformation. The accuracy of the result is about 0.004% and the CPU time needed is reasonable for engineering application. Then the refined computational grid and the calculation for the geometrical quantities of the grid are carried out on the fitted surface. (2) Calculation of the flow along the fitted stream surface. Employing non-orthogonal curvilinear coordinate system, the fitted stream surface is selected as a coordinate surface, so that there are only two velocity components even when the stream surface is arbitrarily twisted, and it is very convenient to define the stream function. The general equation for the quasi-linear stream function governing the flow along the fitted stream surface was employed. This was solved with the method of direct decomposition of matrix. The numerical examples are also included in this paper. The present method can be used for S1 and S2 stream surfaces and other engineering calculations.

Investigation of Curved Surface Fitting Method in Sub-pixel Displacement Digital Speckle Correlation Measurement

2009 ◽  
Vol 46 (8) ◽  
pp. 72-75
Author(s):  
李新忠 Li Xinzhong ◽  
刘汇慧 Liu Huihui ◽  
甄志强 Zhen Zhiqiang ◽  
李立本 Li Liben ◽  
陈庆东 Chen Qingdong
Keyword(s):  
Surface Fitting ◽  
Correlation Measurement ◽  
Curved Surface ◽  
Speckle Correlation ◽  
Fitting Method ◽  
Digital Speckle ◽  
Digital Speckle Correlation

Experiment Research on Seeking Multinomial Curved Surface Fitting Model of GPS Leveling

2011 ◽  
Vol 90-93 ◽  
pp. 2844-2848
Author(s):  
Ya Hong Zhao ◽  
Jin Xing Wang ◽  
Lu Yang Ren
Keyword(s):  
Surface Fitting ◽  
Positive Influence ◽  
Curved Surface ◽  
Model Optimization ◽  
Optimal Model ◽  
Experiment Research ◽  
Fitting Method ◽  
Precision Evaluation ◽  
Gps Leveling ◽  
Fitting Model

In this paper, multinomial curved surface fitting method is used to analyze the feasibility of the GPS leveling height fitting and applicability of all kinds of models in depth. With project cases, according to the comparison and analysis based on fitting precision evaluation and the criterions of model optimization, the main applications and particular analysis methods of fitting model optimization is revealed, by which means the optimal model for the certain surveyed area is offered, conclusions of practical meaning are given, which could have positive influence on GPS practical industrialization.

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