scholarly journals The maximum number and its distribution of singular points for parametric piecewise algebraic curves

2018 ◽  
Vol 329 ◽  
pp. 322-330 ◽  
Author(s):  
Jinming Wu ◽  
Chungang Zhu
Keyword(s):  
Algebraic Curves ◽  
Singular Points ◽  
Piecewise Algebraic Curves

scholarly journals Least Squares Fitting of Piecewise Algebraic Curves

2007 ◽  
Vol 2007 ◽  
pp. 1-11 ◽  
Author(s):  
Chun-Gang Zhu ◽  
Ren-Hong Wang
Keyword(s):  
Least Squares ◽  
Algebraic Curve ◽  
Algebraic Curves ◽  
Scattered Data ◽  
Energy Term ◽  
Bivariate Spline ◽  
Piecewise Algebraic Curve ◽  
Piecewise Algebraic Curves ◽  
The Given

A piecewise algebraic curve is defined as the zero contour of a bivariate spline. In this paper, we present a new method for fittingC1piecewise algebraic curves of degree 2 over type-2 triangulation to the given scattered data. By simultaneously approximating points, associated normals and tangents, and points constraints, the energy term is also considered in the method. Moreover, some examples are presented.

Invariant singular points of algebraic curves

1983 ◽  
Vol 34 (6) ◽  
pp. 962-963
Author(s):  
E. I. Shustin
Keyword(s):  
Algebraic Curves ◽  
Singular Points

scholarly journals Singular points of algebraic curves

1990 ◽  
Vol 9 (4) ◽  
pp. 405-421 ◽  
Author(s):  
Takis Sakkalis ◽  
Rida Farouki
Keyword(s):  
Algebraic Curves ◽  
Singular Points
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