Implicit Polynomial Recovery and Cryptanalysis of a Combinatorial Key Cryptosystem

2012 ◽  
pp. 45-57 ◽  
Author(s):  
Jun Xu ◽  
Lei Hu ◽  
Siwei Sun
Keyword(s):  
Implicit Polynomial

The Precise Measurement of Free-Form Surfaces1

2002 ◽  
Vol 124 (2) ◽  
pp. 326-332 ◽  
Author(s):  
William Wolovich ◽  
Hassan Albakri ◽  
Hulya Yalcin
Keyword(s):  
Precise Measurement ◽  
State Of The Art ◽  
Coordinate Measuring Machine ◽  
Free Form ◽  
Polynomial Equations ◽  
Implicit Methods ◽  
Practical Applications ◽  
Brown University ◽  
Measuring Machine ◽  
Implicit Polynomial

We outline a new procedure for measuring free-form curves and surfaces using implicit polynomial equations. Such equations have long been known to offer certain advantages over the more traditional parametric methods. However, the lack of general procedures for obtaining implicit polynomial models of higher degree, which precisely represent arbitrary 3-D shapes, have prevented their general use in many practical applications, including rapid and precise metrology. Recent mathematical advances obtained at Brown University, experimentally verified using a state-of-the-art Chameleon coordinate measuring machine, have demonstrated potential advantages of implicit methods for modeling and measuring a variety of manufactured objects.

The determination of implicit polynomial canonical curves

1998 ◽  
Vol 20 (10) ◽  
pp. 1080-1090 ◽  
Author(s):  
W.A. Wolovich ◽  
M. Unel
Keyword(s):  
Canonical Curves ◽  
Implicit Polynomial

scholarly journals Breast MR Image Fusion by Deformable Implicit Polynomial (DIP)

2013 ◽  
Vol 5 (0) ◽  
pp. 99-103 ◽  
Author(s):  
Bo Zheng ◽  
Ryo Ishikawa ◽  
Jun Takamatsu ◽  
Katsushi Ikeuchi ◽  
Takaaki Endo ◽  
...  
Keyword(s):  
Image Fusion ◽  
Mr Image ◽  
Breast Mr ◽  
Implicit Polynomial

Evolving Implicit Polynomial Interfaces

2008 ◽  
Author(s):  
E. Ozgur ◽  
M. Unel ◽  
H. Erdogan ◽  
A. Ercil
Keyword(s):  
Implicit Polynomial
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