Algorithm for algebraic curve intersection
Computer-Aided Design
Approximate parametrization of algebraic curves
Theory and practice of geometric modeling
Using multivariate resultants to find the implicit equation of a rational surface
The Visual Computer: International Journal of Computer Graphics
Implicit Curves and Surfaces in CAGD
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Implicitization using moving curves and surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Implicitizing rational curves by the method of moving algebraic curves
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Approximate implicitization using monoid curves and surfaces
Graphical Models and Image Processing
On the validity of implicitization by moving quadrics for rational surfaces with no base points
Journal of Symbolic Computation
Surfaces: Techniques for Cubic Algebraic Surfaces
IEEE Computer Graphics and Applications
Implicit and parametric curves and surfaces for computer aided geometric design
Implicit and parametric curves and surfaces for computer aided geometric design
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
An approach to weak approximate implicitization
Mathematical Methods for Curves and Surfaces
Bounding the Hausdorff distance between implicitly defined and/or parametric curves
Mathematical Methods for Curves and Surfaces
Approximate implicitization via curve fitting
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Interval implicitization of rational curves
Computer Aided Geometric Design
Parametrization of approximate algebraic curves by lines
Theoretical Computer Science - Algebraic and numerical algorithm
Approximate parameterization by planar rational curves
Proceedings of the 20th spring conference on Computer graphics
Parametrization of approximate algebraic surfaces by lines
Computer Aided Geometric Design
Approximate algebraic methods for curves and surfaces and their applications
Proceedings of the 21st spring conference on Computer graphics
Distance bounds of ε-points on hypersurfaces
Theoretical Computer Science
Residue calculus and applications
Publications of the Research Institute for Mathematical Sciences
Computers & Mathematics with Applications
Local parametrization of cubic surfaces
Journal of Symbolic Computation
Implicit polynomial support optimized for sparseness
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Approximate implicitization of triangular Bézier surfaces
Proceedings of the 26th Spring Conference on Computer Graphics
Interval implicitization of parametric surfaces
ICICA'10 Proceedings of the First international conference on Information computing and applications
Fat arcs for implicitly defined curves
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Certified approximation of parametric space curves with cubic B-spline curves
Computer Aided Geometric Design
Implicit matrix representations of rational Bézier curves and surfaces
Computer-Aided Design
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A method for the approximation of piecewise rational parametric manifolds of a chosen degree with an algebraic hypersurface is presented. This method has good convergence rate, uses singular value decomposition to find a set of alternative approximations and enables the selection of an approximation to be based on required behavior of the gradient of the resulting approximating algebraic surface.