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Date : 2007-11-08
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Rational Algebraic Curves A Computer Algebra Approach ~ Algebraic curves and surfaces are an old topic of geometric and algebraic investigation They have found applications for instance in ancient and m ern architectural designs in number theoretic problems in models of b logical shapes in errorcorrecting codes and in cryptographic algorithms
Rational Algebraic Curves A Computer Algebra Approach ~ The book Rational algebraic curves a computer algebra approach is a very complete text on rational curves … The book is really an excellent reference on genus zero curves It is very useful mainly due to the computational material presented
Rational Algebraic Curves A Computer Algebra Approach ~ One of RACs central algorithms is parametrizationbyadjoints in Section 47 Actually using this algorithm to parametrize a curve meeting our sufficient condition is a very attractive mix of algebra and geometry The algorithm comes in several variants as the adjoint curves involved can have degree d–2 d–1 or d
Rational algebraic curves A computer algebra approach ~ How complicated is to obtain a global parametrization depends on the genus of the curve There are algorithms to compute the genus of an algebraic curve 48 Let g be the genus of Γ regarding
9783540737247 Rational Algebraic Curves A Computer ~ Rational Algebraic Curves A Computer Algebra Approach Algorithms and Computation in Mathematics Sendra J Rafael Winkler Franz PerezDiaz Sonia
Rational Algebraic Curves SpringerLink ~ Algebraic curves and surfaces are an old topic of geometric and algebraic investigation They have found applications for instance in ancient and m ern architectural designs in number theoretic problems in models of b logical shapes in errorcorrecting codes and in cryptographic algorithms
Rational algebraic curves a computer algebra approach ~ Rational algebraic curves a computer algebra approach J Rafael Sendra Franz Winkler Sonia PérezDíaz The central problem considered in this book is the determination of rational parametrizability of an algebraic curve and in the positive case the computation of a good rational parametrization
A FIRST APPROACH TOWARDS NORMAL PARAMETRIZATIONS OF ~ In this paper we analyze the problem of deciding the normality the surjectivity of a rational parametrization of a surface The problem can be approached by means of elimination theory techniques providing a proper close subset where surjectivity needs to be analyzed
Computing Parameterizations of Rational Algebraic Curves ~ We present algorithms to compute the genus and rational parametric equations for implicitly defined irreducible plane algebraic curves of arbitrary degree Rational parameterizations exist for
Rational parametrization of conchoids to algebraic curves ~ Rational parametrization of conchoids to algebraic curves Abstract We study the rationality of each of the components of the conchoid to an irreducible algebraic affine plane curve excluding the trivial cases of the lines through the focus and the circle centered at the focus and radius the distance involved in the conchoid
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