Comparison of three curve intersection algorithms
Computer-Aided Design
Improperly parametrized rational curves
Computer Aided Geometric Design
Genus of the intersection curve of two rational surface patches
Computer Aided Geometric Design
Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Applications of Gro¨bner basis in non-linear computational geometry
Geometric reasoning
Base points, resultants, and the implicit representation of rational surfaces
Base points, resultants, and the implicit representation of rational surfaces
Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants
Computer Aided Geometric Design
Implicit representation of rational parametric surfaces
Journal of Symbolic Computation
Algorithm for implicitizing rational parametric surfaces
Computer Aided Geometric Design
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
Curve implicitization using moving lines
Computer Aided Geometric Design
Surfaces: Techniques for Cubic Algebraic Surfaces
IEEE Computer Graphics and Applications
Ray tracing parametric patches
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
An Efficient Surface Intersection Algorithm based on Lower Dimensional Formulation
An Efficient Surface Intersection Algorithm based on Lower Dimensional Formulation
Implicit and parametric curves and surfaces for computer aided geometric design
Implicit and parametric curves and surfaces for computer aided geometric design
Residual resultant over the projective plane and the implicitization problem
Proceedings of the 2001 international symposium on Symbolic and algebraic computation
Mathematical Methods for Curves and Surfaces
Surface animation for flower growth
Mathematical Methods for Curves and Surfaces
Towards the &mgr;-basis of a rational surface
Mathematical Methods for Curves and Surfaces
A new implicit representation of a planar rational curve with high order singularity
Computer Aided Geometric Design
Algebraic Geometry and Computer Vision: Polynomial Systems, Real andComplex Roots
Journal of Mathematical Imaging and Vision
Implicitization of rational surfaces by means of polynomial interpolation
Computer Aided Geometric Design
Implicitization of Parametric Curves by Matrix Annihilation
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Reparametrization of a rational ruled surface using the μ-basis
Computer Aided Geometric Design
The µ-basis of a planar rational curve: properties and computation
Graphical Models
Approximate implicitization via curve fitting
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Revisiting the µ-basis of a rational ruled surface
Journal of Symbolic Computation
Implicitization of differential rational parametric equations
Journal of Symbolic Computation
Exact computation of the medial axis of a polyhedron
Computer Aided Geometric Design
Interval implicitization of rational curves
Computer Aided Geometric Design
Approximate distance fields with non-vanishing gradients
Graphical Models
Approximate parameterization by planar rational curves
Proceedings of the 20th spring conference on Computer graphics
Efficient Groebner walk conversion for implicitization of geometric objects
Computer Aided Geometric Design
Differentiable parameterization of Catmull-Clark subdivision surfaces
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Computing μ-bases of rational curves and surfaces using polynomial matrix factorization
Proceedings of the 2005 international symposium on Symbolic and algebraic computation
A note on implicitization and normal parametrization of rational curves
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Basic lines, axes and geometric modeling on implicit algebraic surfaces
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
On the geometry of parametrized bicubic surfaces
Journal of Symbolic Computation
Axial moving lines and singularities of rational planar curves
Computer Aided Geometric Design
A new class of term orders for elimination
Journal of Symbolic Computation
Real implicitization of curves and geometric extraneous components
Proceedings of the 2007 international workshop on Symbolic-numeric computation
Implicitization of bihomogeneous parametrizations of algebraic surfaces via linear syzygies
Proceedings of the 2007 international symposium on Symbolic and algebraic computation
Residue calculus and applications
Publications of the Research Institute for Mathematical Sciences
Computing exact rational offsets of quadratic triangular Bézier surface patches
Computer-Aided Design
The moving curve ideal and the Rees algebra
Theoretical Computer Science
Computing singular points of plane rational curves
Journal of Symbolic Computation
A univariate resultant-based implicitization algorithm for surfaces
Journal of Symbolic Computation
0/0 Simplifies implicitization
Journal of Symbolic Computation
Implicitization and parametrization of quadratic surfaces with one simple base point
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
Division algorithms for Bernstein polynomials
Computer Aided Geometric Design
μ-bases for polynomial systems in one variable
Computer Aided Geometric Design
Axial moving planes and singularities of rational space curves
Computer Aided Geometric Design
Shifting planes always implicitize a surface of revolution
Computer Aided Geometric Design
Curve/surface intersection problem by means of matrix representations
Proceedings of the 2009 conference on Symbolic numeric computation
Matrix representations for toric parametrizations
Computer Aided Geometric Design
Efficient Groebner walk conversion for implicitization of geometric objects
Computer Aided Geometric Design
Implicitizing rational hypersurfaces using approximation complexes
Journal of Symbolic Computation
Equations of parametric surfaces with base points via syzygies
Journal of Symbolic Computation
The μ-basis and implicitization of a rational parametric surface
Journal of Symbolic Computation
Set-theoretic generators of rational space curves
Journal of Symbolic Computation
Continuous collision detection between two 2D curved-edge polygons under rational motions
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Shifting planes to follow a surface of revolution
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Minimal generators of the defining ideal of the Rees Algebra associated to monoid parameterizations
Computer Aided Geometric Design
A comparison of sampling strategies for computing general sweeps
Computer-Aided Design
Computing the singularities of rational space curves
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation
Approximate implicitization of triangular Bézier surfaces
Proceedings of the 26th Spring Conference on Computer Graphics
Comparison between the marching-cube and the marching-simplex methods
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Approximate µ-bases of rational curves and surfaces
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Implicitization of rational curves
AISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Symbolic Computation
Journal of Symbolic Computation
Implicitizing rational surfaces of revolution using µ-bases
Computer Aided Geometric Design
Using µ-bases to implicitize rational surfaces with a pair of orthogonal directrices
Computer Aided Geometric Design
The surface/surface intersection problem by means of matrix based representations
Computer Aided Geometric Design
Implicit matrix representations of rational Bézier curves and surfaces
Computer-Aided Design
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