11 citations · 20 across the 5 of their papers we have counts for
5 papers
Rational complex Bezier curves
A. Canton, L. Fernandez-Jambrina, M. J. Vazquez-Gallo
In this paper we develop the formalism of rational complex Bezier curves. This framework is a simple extension of the CAD paradigm, since it describes arc of curves in terms of con…
Curvature of planar aesthetic curves
A. Cantón, L. Fernández-Jambrina, M. J. Vázquez-Gallo
Farin proposed a method for designing Bezier curves with monotonic curvature and torsion. Such curves are relevant in design due to their aesthetic shape. The method relies on appl…
Implicit equations of non-degenerate rational Bezier quadric triangles
A. Canton, L. Fernandez-Jambrina, E. Rosado Maria +1
In this paper we review the derivation of implicit equations for non-degenerate quadric patches in rational Bezier triangular form. These are the case of Steiner surfaces of degree…
Geometric elements and classification of quadrics in rational Bézier form
A. Cantón, L. Fernández-Jambrina, M. E. Rosado María +1
In this paper we classify and derive closed formulas for geometric elements of quadrics in rational Bézier triangular form (such as the center, the conic at infinity, the vertex an…
Interpolation of a spline developable surface between a curve and two rulings
A. Cantón, L. Fernández-Jambrina
In this paper we address the problem of interpolating a spline developable patch bounded by a given spline curve and the first and the last rulings of the developable surface. In o…