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Rational quadratic approximation to real algebraic curves
Real algebraic curve Parametrization Approximation Topology determination
2013/9/9
An algorithm is proposed to give a global approximation of an implicit real plane algebraic curve with rational quadratic B-spline curves. The algorithm consists of four steps: topology determination,...
Conversion Between Implicit and Parametric Representations of Algebraic Varieties
Conversion Between Implicit Parametric Representations Algebraic Varieties
2013/9/9
In this chapter, we review algorithms for conversion between implicit and parametric representations of algebraic varieties with emphasis on the implicitization of rational parametric equations (abbr....
GEOMETRIC THEOREM PROVERS AND ALGEBRAIC EQUATIONS SOLVERS
GEOMETRIC THEOREM PROVERS ALGEBRAIC EQUATIONS SOLVERS
2013/9/9
The methods of mechanizing mathematics are realized by means of computer software for solving scientiˉc and engineering problems via symbolic and hybrid computation. This chapter provides a collection...