• Approximate Implicitization and Approximate Null Spaces 

      Barrowclough, Oliver Joseph David (Lecture, 2010)
      Easy conversion of elementary curves and surfaces (lines, circles, ellipses, planes, spheres, cylinders, cones,. . . ) to rational parametric and implicit representations is central in many algorithms used in CAD-systems. ...
    • Approximate Implicitization of Triangular Bézier Surfaces 

      Barrowclough, Oliver Joseph David; Dokken, Tor (Journal article; Peer reviewed, 2010)
    • Approximate Implicitization using Chebyshev Polynomials 

      Barrowclough, Oliver Joseph David (Lecture, 2011)
      Whereas traditional approaches to implicitization of rational parametric curves have focused on exact methods, the past two decades have seen increased interest in the application of approximate methods for implicitization. ...
    • Approximate Implicitization using Linear Algebra 

      Barrowclough, Oliver Joseph David (Lecture, 2011)
      In this talk we consider a range of methods for exact and approximate implicitization of rational parametric curves and surfaces using linear algebra. The framework of numerical linear algebra provides a large family of ...
    • Binary segmentation of medical images using implicit spline representations and deep learning 

      Barrowclough, Oliver Joseph David; Muntingh, Agnar Georg Peder; Nainamalai, Varatharajan; Stangeby, Ivar Haugaløkken (Peer reviewed; Journal article, 2021)
      We propose a novel approach to image segmentation based on combining implicit spline representations with deep convolutional neural networks. This is done by predicting the control points of a bivariate spline function ...
    • 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 ...
    • 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 ...