implicit polynomials
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2017 ◽  
Vol 67 ◽  
pp. 14-23 ◽  
Author(s):  
Ruben Interian ◽  
Juan M. Otero ◽  
Celso C. Ribeiro ◽  
Anselmo A. Montenegro

2012 ◽  
Vol 424-425 ◽  
pp. 665-668
Author(s):  
Wei Shao ◽  
Deng Xin Hua

Metal parts with large and complicated curved surfaces used widely have some characteristics such as a great volume, a big area, distorting easily. It is very difficult to measure and evaluate accurately the parts. Taking measurement of the parts as a purpose, a new measurement method called On-Line Shape Measurement System (OSMS) is put forward.Error analysis of curves is a requirement to assure quality and to reduce manufacturing costs and rework. This paper proposes a new approach and algorithms for the error analysis of curves.the system applies a robust mathematic model, Implicit polynomials (IP), to construct the model of the test-points. Once the CAD model is adjusted, it is compared with input to reveal the errors between their shapes. To accomplish this task a new shape matching algorithm is developed. Experimental results on error analysis of a variety of the machined metal skin of aircraft are reported to show the validity of the proposed methodology.


2010 ◽  
Vol 32 (5) ◽  
pp. 954-960 ◽  
Author(s):  
H. Ben-Yaacov ◽  
D. Malah ◽  
M. Barzohar

2008 ◽  
Vol E91-D (4) ◽  
pp. 1149-1158 ◽  
Author(s):  
B. ZHENG ◽  
J. TAKAMATSU ◽  
K. IKEUCHI

2003 ◽  
Vol 24 (13) ◽  
pp. 2145-2152 ◽  
Author(s):  
Cenker Oden ◽  
Aytul Ercil ◽  
Burak Buke

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