Partial degree formulae for plane offset curves
Journal of Symbolic Computation
An Algebraic Approach to Lens Distortion by Line Rectification
Journal of Mathematical Imaging and Vision
Parametrization of ε-rational curves: extended abstract
Proceedings of the 2009 conference on Symbolic numeric computation
Approximate parametrization of plane algebraic curves by linear systems of curves
Computer Aided Geometric Design
Rational general solutions of first order non-autonomous parametrizable ODEs
Journal of Symbolic Computation
Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time
Pairing'10 Proceedings of the 4th international conference on Pairing-based cryptography
Offsetting revolution surfaces
ADG'08 Proceedings of the 7th international conference on Automated deduction in geometry
Semidefinite Representation of Convex Hulls of Rational Varieties
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
Original article: Algorithmic detection of hypercircles
Mathematics and Computers in Simulation
Computer Aided Geometric Design
Improving angular speed uniformity by optimal C0 piecewise reparameterization
CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing
A regularization approach for estimating the type of a plane curve singularity
Theoretical Computer Science
A partial solution to the problem of proper reparametrization for rational surfaces
Computer Aided Geometric Design
Characterization of rational ruled surfaces
Journal of Symbolic Computation
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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. This amounts to determining the genus of a curve, i.e. its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. Various optimality criteria for rational parametrizations of algebraic curves are discussed. This book is mainly intended for graduate students and researchers in constructive algebraic curve geometry.