• Deconfliction and Surface Generation from Bathymetry Data Using LR B-splines 

      Skytt, Vibeke; Harpham, Quillon; Dokken, Tor; Dahl, Heidi Elisabeth Iuell (Chapter, 2017)
      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 LR B-spline surface. The aim is to represent ...
    • Isogeometric Analysis 

      Dokken, Tor; Kvamsdal, Trond; Pettersen, Kjell Fredrik; Skytt, Vibeke (Journal article; Peer reviewed, 2010)
      NURBS (Non Uniform Rational B-Spline) curves and surfaces have been used extensively in Computer Aided Design (CAD) in the last two decades but not in Finite Element Analysis (FEA). Isogeometric analysis [6], introduced ...
    • LR B-splines to approximate bathymetry datasets: An improved statistical criterion to judge the goodness of fit 

      Skytt, Vibeke; Kermarrec, , Gael; Dokken, Tor (Peer reviewed; Journal article, 2022)
      The task of representing remotely sensed scattered point clouds with mathematical surfaces is ubiquitous to reduce a high number of observations to a compact description with as few coefficients as possible. To reach that ...
    • Optimal Surface Fitting of Point Clouds Using Local Refinement 

      Kermarrec, Gaël; Skytt, Vibeke; Dokken, Tor (SpringerBriefs in Earth System Sciences;, Book, 2023)
      This open access book provides insights into the novel Locally Refined B-spline (LR B-spline) surface format, which is suited for representing terrain and seabed data in a compact way. It provides an alternative to the ...
    • Parametric Shape Optimization for Combined Additive–Subtractive Manufacturing 

      Tamellini, Lorenzo; Chiumenti, Michele; Altenhofen, Christian; Attene, Marco; Barrowclough, Oliver Joseph David; Livesu, Marco; Marini, Federico; Martinelli, Massimiliano; Skytt, Vibeke (Journal article; Peer reviewed, 2019)
      In industrial practice, additive manufacturing (AM) processes are often followed by post-processing operations such as heat treatment, subtractive machining, milling, etc., to achieve the desired surface quality and ...
    • Scattered Data Approximation by LR B-Spline Surfaces: A Study on Refinement Strategies for Efficient Approximation 

      Skytt, Vibeke; Dokken, Tor (Chapter, 2022)
      Locally refined B-spline (LRB) surfaces provide a representation that is well suited to scattered data approximation. When a data set has local details in some areas and is largely smooth elsewhere, LR B-splines allow the ...
    • Surface approximation of coastal regions: LR B-spline for detection of deformation pattern 

      Kermarrec, , Gael; Skytt, Vibeke; Dokken, Tor (Peer reviewed; Journal article, 2022)
      Geospatial data acquisition of terrains produces huge, noisy and scattered point clouds. An efficient use of the acquired data requires structured and compact data representations. Working directly in a point cloud is often ...
    • Trivariate Spline Representations for Computer Aided Design and Additive Manufacturing 

      Dokken, Tor; Skytt, Vibeke; Barrowclough, Oliver Joseph David (Journal article; Peer reviewed, 2018)
      Digital representations targeting design and simulation for Additive Manufacturing (AM) are addressed from the perspective of Computer Aided Geometric Design. We discuss the feasibility for multi-material AM for B-rep based ...