Algorithm for algebraic curve intersection
Computer-Aided Design
Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Singular points of algebraic curves
Journal of Symbolic Computation
Hidden curve removal for free form surfaces
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Fat arcs: a bounding region with cubic convergence
Computer Aided Geometric Design
Curve intersection using Be´zier clipping
Computer-Aided Design - Special Issue: Be´zier Techniques
An efficient algorithm for infallible polynomial complex root isolation
ISSAC '92 Papers from the international symposium on Symbolic and algebraic computation
Algorithms for intersecting parametric and algebraic curves I: simple intersections
ACM Transactions on Graphics (TOG)
A geometric Newton---Raphson strategy
Computer Aided Geometric Design
Point inversion and projection for NURBS curve and surface: control polygon approach
Computer Aided Geometric Design
Ray tracing parametric patches
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Implicit and parametric curves and surfaces for computer aided geometric design
Implicit and parametric curves and surfaces for computer aided geometric design
Computing roots of polynomials by quadratic clipping
Computer Aided Geometric Design
Bézier clipping is quadratically convergent
Computer Aided Geometric Design
Some iterative methods for solving a system of nonlinear equations
Computers & Mathematics with Applications
Computing intersections of planar spline curves using knot insertion
Computer Aided Geometric Design
A second order algorithm for orthogonal projection onto curves and surfaces
Computer Aided Geometric Design
Comparison of three curve intersection algorithms
Computer-Aided Design
A new class of algorithms for the processing of parametric curves
Computer-Aided Design
Fifth-order iterative method for finding multiple roots of nonlinear equations
Numerical Algorithms
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
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An effective geometrically motivated intersection algorithm for two spatial parametric curves is presented. Examples are shown to illustrate the efficiency and robustness of the new method.