42 citations · 86 across the 7 of their papers we have counts for
8 papers
Scattered data approximation by LR B-spline surfaces. A study on refinement strategies for efficient approximation
Vibeke Skytt, Tor Dokken
Locally refined spline surfaces (LRB) is a representation well suited for scattered data approximation. When a data set has local details in some areas and is largely smooth in oth…
Locally refined spline surfaces for terrain and sea bed data: tailored approximation, export and analysis tools
Vibeke Skytt, Tor Dokken
The novel Locally Refined B-spline (LR B-spline) surface format is suited for representing terrain and seabed data in a compact way. It provides an alternative to the well know ras…
Properties of Spline Spaces Over Structured Hierarchical Box Partitions
Ivar Stangeby, Tor Dokken
Given a spline space spanned by Truncated Hierarchical B-splines (THB), it is always possible to construct a spline space spanned by Locally Refined B-splines (LRB) that contains t…
Linear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes
Francesco Patrizi, Tor Dokken
The focus on locally refined spline spaces has grown rapidly in recent years due to the need in Isogeoemtric analysis (IgA) of spline spaces with local adaptivity: a property not o…
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…
Deconfliction and Surface Generation from Bathymetry Data Using LR B-splines
Vibeke Skytt, Quillon Harpham, Tor Dokken +1
A set of bathymetry point clouds acquired by different measurement techniques at different times, having different accuracy and varying patterns of points, are approximated by an L…
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…