• Approximate implicitization and CAD-type intersection algorithms 

      Dokken, Tor (Lecture, 2007)
      When developing CAD-type intersection algorithms for NonUniform Rational B-splines surfaces (NURBS) is important to ensure that the algorithm identifies all intersection branches. For transversal intersections this is ...
    • Approximate Implicitization of Triangular Bézier Surfaces 

      Barrowclough, Oliver Joseph David; Dokken, Tor (Journal article; Peer reviewed, 2010)
    • Challenges of Isogeometric Representation for CAD 

      Dokken, Tor (Lecture, 2010)
      Isogeometric Analysis has the potential to achieve efficient integration of CAD and Finite Element Analysis (FEA) by introducing accurate shape representation in analysis. The success of isogeometric analysis will depend ...
    • 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 ...
    • Geometry Processing and Hetrogeneous Computing 

      Dokken, Tor (Lecture, 2008)
      As parallel computing resources have been too expensive for most of the CAGD community, efficient implementation of algorithms outside of High Performance Computing (HPC) has until a few years ago been following the ...
    • GPU-multicore programming 

      Dokken, Tor (Lecture, 2007)
      The evolution from single core CPUs to heterogeneous computing. Activities in SINTEF ICT related to heterogeneous computing within:Geometry processingLinear algebraPartial differential equationsVisualizationImage processing
    • Hetereogeneous Spline Surface Intersections 

      Briseid, Sverre; Dokken, Tor; Hagen, Trond Runar (Chapter, 2010)
      While the PC just a few years ago included only one single-core CPU and a fixed functionality graphics card, the current commodity PC is a heterogeneous system, equipped with both a multi-core CPU and a fully programmable ...
    • Higher Order Shape Representations for Increased Quality of Experience in 3D Internet 

      Dokken, Tor (Chapter, 2009)
      The user quality of experience of current 3D Internet technology lags far behind the one of installed 3D applications. We believe that a broad uptake of ‘3D Media Internet’ depends on a significant improvement of the user ...
    • Higher Order Shape Representations for Increased Quality of Experience in 3D Internet 

      Dokken, Tor (Lecture, 2009)
      The user quality of experience of current 3D Internet technology lags far behind the one of installed 3D applications. We believe that a broad uptake of ‘3D Media Internet’ depends on a significant improvement of the user ...
    • 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 ...
    • Isogeometric analysis using LR B-splines 

      Johannessen, Kjetil Andre; Kvamsdal, Trond; Dokken, Tor (Journal article; Peer reviewed, 2014)
      The recently proposed locally refined B-splines, denoted LR B-splines, by Dokken et al. (2013) [6] may have the potential to be a framework for isogeometric analysis to enable future interoperable computer aided design and ...
    • Linear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes 

      Patrizi, Francesco; Dokken, Tor (Journal article; Peer reviewed, 2019)
      The focus on locally refined spline spaces has grown rapidly in recent years due to the need in Isogeometric Analysis (IgA) of spline spaces with local adaptivity: a property not offered by the strict regular structure of ...
    • Locally Refinable Splines over Box-Partitions 

      Dokken, Tor; Lyche, Tom Johan; Pettersen, Kjell Fredrik (SINTEF Rapport;, Research report, 2012)
      We address progressive local refinement of splines defined on axes parallel box-partitions and corresponding box-meshes in any space dimension. The refinement is specified by a sequence of mesh-rectangles (axes parallel ...
    • Locally Refined Splines 

      Dokken, Tor (Lecture, 2010)
      The central idea of isogeometric analysis is to replace traditional Finite Elements by NonUniform Rational B-splines (NURBS) to provide accurate shape description and higher order elements in analysis. Since the introduction ...
    • (Poster) Real-time algebraic surface visualization 

      Dokken, Tor; Seland, Johan Simon (Lecture, 2007)
      We demonstrate a ray tracing type technique for rendering algebraic surfaces using programmable graphics hardware (GPUs). Our approach allows for real-time exploration and manipulation of arbitrary real algebraic surfaces, ...
    • Problems for 3D Internet 

      Dokken, Tor (Lecture, 2009)
      The driving forces for 3D Internet technology seem to be focused on 3D images and tessellated shape representations. Consequently the 3D representation is voluminous and the user quality of experience lags far behind the ...
    • The potential of Isogeometric Analysis for improved simulation of environmental impact on large structures 

      Dokken, Tor (Lecture, 2011)
      In isogeometric  analysis introduced by T.J.R. Hughes in 2005 traditional Finite Elements are replaced by NonUniform Rational B-splines (NURBS) to introduce accurate Computer Aided Design (CAD) quality shape representation ...
    • 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 ...