42 citations · 131 across the 11 of their papers we have counts for
6 papers · 1 filter
Reverse engineering of CAD models via clustering and approximate implicitization
Andrea Raffo, Oliver J. D. Barrowclough, Georg Muntingh
In applications like computer aided design, geometric models are often represented numerically as polynomial splines or NURBS, even when they originate from primitive geometry. For…
Trivariate Spline Representations for Computer Aided Design and Additive Manufacturing
Tor Dokken, Vibeke Skytt, Oliver Barrowclough
Digital representations targeting design and simulation for Additive Manufacturing (AM) are addressed from the perspective of Computer Aided Geometric Design. We discuss the feasib…
Approximate Implicitization of Triangular Bézier Surfaces
Oliver J. D. Barrowclough, Tor Dokken
We discuss how Dokken's methods of approximate implicitization can be applied to triangular Bézier surfaces in both the original and weak forms. The matrices and $\mat…
Fast Approximate Implicitization of Envelope Curves using Chebyshev Polynomials
Oliver J D Barrowclough, Bert Jüttler, Tino Schulz
Consider a rational family of planar rational curves in a certain region of interest. We are interested in finding an approximation to the implicit representation of the envelope.…
A basis for the implicit representation of planar rational cubic Bézier curves
Oliver J. D. Barrowclough
We present an approach to finding the implicit equation of a planar rational parametric cubic curve, by defining a new basis for the representation. The basis, which contains only…
Approximate implicitization using linear algebra
Oliver J. D. Barrowclough, Tor Dokken
In this paper we consider a family of algorithms for approximate implicitization of rational parametric curves and surfaces. The main approximation tool in all of the approaches is…