Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Algebraic pruning: a fast technique for curve and surface intersection
Computer Aided Geometric Design
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Computing intersections of rational patches
Machine Graphics & Vision International Journal
Computing intersections of rational patches
Machine Graphics & Vision International Journal
On NURBS algorithms using tangent cones
Computer Aided Geometric Design
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Numerical procedures of solving a system for algebraic equations usually consist of a part that localizes the solutions and a part that computes their accurate approximations. The localization is often based on the convex hull property of the Bernstein-Bézier representation of the equations. In the procedure described in this paper, the convex hull test is complemented with another test, which significantly improves the efficiency of the procedure.