| Some Researches on Real Piecewise Algebraic Curves |
| Received:May 24, 2006 Revised:December 12, 2006 |
| Key Words:
bivariate splines piecewise algebraic curves piecewise algebraic varieties algebraic geometry.
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| Fund Project:the National Natural Science Foundation of China (No.60373093; 60533060; 10726068); the Research Project of Liaoning Educational Committee (No.2005085). |
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| Abstract: |
| The piecewise algebraic curve, defined by a bivariate spline, is a generalization of the classical algebraic curve. In this paper, we present some researches on real piecewise algebraic curves using elementary algebra. A real piecewise algebraic curve is studied according to the fact that a real spline for the curve is indefinite, definite or semidefinite (nondefinite). Moreover, the isolated points of a real piecewise algebraic curve is also discussed. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.02.007 |
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