Bilde av Lakså, Arne
Bilde av Lakså, Arne
Professor Department of Computer Science and Computational Engineering arne.laksa@uit.no +4776966221 You can find me here

Arne Lakså



  • Arne Lakså :
    Beta-function B-splines and subdivision schemes, a preliminary study
    Lecture Notes in Computer Science (LNCS) 2018 DOI
  • Arne Lakså :
    Pre-evaluation and interactive editing of B-spline and GERBS curves and surfaces
    AIP Conference Proceedings 2017 ARKIV / DOI
  • Arne Lakså :
    Non polynomial B-splines
    AIP Conference Proceedings 2015 DOI
  • Arne Lakså, Børre Bang :
    Surface constructions on irregular grids
    Lecture Notes in Computer Science (LNCS) 2015 DOI
  • Arne Lakså :
    Surface from Curves on Triangular Surfaces in Barycentric Coordinates
    Springer 2014 DOI
  • Rune Dalmo, Jostein Bratlie, Børre Bang, Arne Lakså :
    Smooth Spline Blending Surface approximation over a triangulated Irregular Network
    International Journal of Applied Mathematics (IJAM) 2014 DOI
  • Arne Lakså :
    Construction and properties of non-polynomial spline-curves
    AIP Publishing (American Institute of Physics) 2014 DOI
  • Arne Lakså :
    ERBS-surface construction on irregular grids
    AIP Publishing (American Institute of Physics) 2013 DOI
  • Børre Bang, Lubomir T. Dechevski, Arne Lakså, Peter Balint Zanaty :
    Blending Functions for Hermite Interpolation by Beta-Function B-Splines on Triangulations
    Springer 2012 DOI
  • Lubomir T. Dechevski, Peter Balint Zanaty, Børre Bang, Arne Lakså :
    Smooth partition of unity with Hermite interpolation: applications to image processing
    Proceedings of SPIE, the International Society for Optical Engineering 2012 DOI
  • Lubomir T. Dechevski, Børre Egil Johan Bang, Arne Lakså, Peter Balint Zanaty :
    Multivariate Hermite interpolation on scattered point sets using tensor-product expo-rational B-splines
    AIP Conference Proceedings 2011 DATA / DOI
  • Lubomir T. Dechevski, Peter Balint Zanaty, Arne Lakså, Børre Egil Johan Bang :
    First Instances of Generalized Expo‐Rational Finite Elements on Triangulations
    AIP Conference Proceedings 2011 DATA / DOI
  • Lubomir T. Dechevski, Jostein Bratlie, Børre Egil Johan Bang, Arne Lakså, Joakim Gundersen :
    Wavelet-Based Lossless One-and Two-Dimensional Representation of Multidimensional Geometric Data
    AIP Conference Proceedings 2011 SAMMENDRAG / DOI
  • Arnt Roald Kristoffersen, Lubomir T. Dechevski, Arne Lakså, Børre Egil Johan Bang :
    Comparison between Polynomial, Euler Beta-Function and Expo-Rational B-Spline Bases
    AIP Conference Proceedings 2011 DOI
  • Lubomir T. Dechevski, Børre Bang, Arne Lakså, Jostein Bratlie :
    Solving Closest-Point Multidimensional Computational Geometric Problems on Graphics Proccesing Units [abstract]
    2011
  • Arne Lakså, Børre Bang, Lubomir T. Dechevski :
    Geometric modelling with Beta-function B-splines. II: Tensor-product parametric surfaces
    International Journal of Pure and Applied Mathematics 2010
  • Arne Lakså, Børre Bang, Lubomir T. Dechevski :
    Geometric modelling with Beta-function B-splines. I: Parametric curves
    International Journal of Pure and Applied Mathematics 2010
  • Arne Lakså :
    A method for sparse-matrix computation of B-spline curves and surfaces
    Lecture Notes in Computer Science (LNCS) 2010
  • Lubomir T. Dechevski, Børre Egil Johan Bang, Joakim Gundersen, Arne Lakså, Arnt Roald Kristoffersen :
    Solving non-linear systems of equations on graphics processing units
    Lecture Notes in Computer Science (LNCS) 2010
  • Lubomir T. Dechevski, Arne Lakså, Børre Egil Johan Bang, Joakim Gundersen, Arnt Roald Kristoffersen, Peter Balint Zanaty :
    Vertex-based "marching" algorithms for finding multidimensional geometric intersections
    Proceedings of SPIE, the International Society for Optical Engineering 2010 DOI
  • Lubomir Dechevski, Arne Lakså, Joakim Gundersen, Børre Bang, Arnt Roald Kristoffersen, Peter Balint Zanaty :
    Vertex-based "marching" algorithms for finding multidimensional geometric intersections
    Proceedings of SPIE, the International Society for Optical Engineering 2010 DOI
  • Lubomir T. Dechevski, Xian Feng Bu, Børre Bang, Arne Lakså :
    Variational calculus and multigrid dynamical programming on expo-rational tensor-product surfaces
    International Journal of Pure and Applied Mathematics 2009
  • Lubomir T. Dechevski, Børre Bang, Arne Lakså :
    Generalized expo-rational B-splines
    International Journal of Pure and Applied Mathematics 2009
  • Lubomir T. Dechevski, Ewald Gunther Quak, Børre Bang, Arne Lakså, Arnt R. Kristoffersen :
    Expo-rational spline multiwavelets
    2007
  • Arne Lakså :
    Blendingsteknikker i kurve- og flatekonstruksjoner
  • Arne Lakså :
    Blending techniques in Curve and Surface constructions
  • Arne Lakså :
    Blending techniques in Curve and Surface constructions
  • Arne Lakså :
    Blendingsteknikker i kurve- og flatekonstruksjoner
    2022 DATA / FULLTEKST / ARKIV
  • Hans Olofsen, Arne Lakså :
    Trigonometric and polynomial approximations of the Fabius function for use as Blending functions
    2018
  • Lubomir T. Dechevski, Børre Bang, Arne Lakså, Arnt R. Kristoffersen :
    Multivariate hermite interpolation in scattered point sets using tensor-product expo-rational B-splines
    2010
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang, Péter Zanaty :
    First instances of generalized expo-rational finite elements on triangulations
    2010
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang, Arnt R. Kristoffersen :
    First instances of generalized expo-rational B-splines on triangulations
    2010
  • Lubomir T. Dechevski, Jostein Bratlie, Børre Bang, Arne Lakså, Joakim Gundersen :
    Wavelet-based lossless one- and two-dimensional representation of multidimensional geometric data
    2010
  • Arnt R. Kristoffersen, Lubomir T. Dechevski, Arne Lakså, Børre Bang :
    Comparison between polynominal and expo-rational B-spline bases
    2010
  • Arnt R. Kristoffersen, Lubomir T. Dechevski, Arne Lakså, Børre Bang :
    First instances of generalized expo-rational B-splines : Euler Beta-function B-splines
    2010
  • Arne Erik Holdø, Arne Lakså, Kjetil Kvalsvik :
    Lover massiv Narvik-satsing
    07. February 2009
  • Lubomir T. Dechevski, Børre Bang, Joakim Gundersen, Arne Lakså, Arnt R. Kristoffersen :
    Solving non-linear systems of equations on graphics processing units (GPUs)
    2009
  • Arne Lakså :
    A method for sparse-matrix computation of spline curves and surfaces
    2009
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang :
    Estimating the error of approximation of expo-rational B-splines by Romberg numerical quadratures : [abstract]
    2009
  • Lubomir T. Dechevski, Børre Bang, Arne Lakså :
    Generalized expo-rational B-splines
    2009
  • Arne Lakså :
    A generalized B-spline matrix form of spline
    Universitetet i Oslo 2008
  • Børre Bang, Lubomir T. Dechevski, Joakim Gundersen, Arnt R. Kristoffersen, Arne Lakså :
    Computing multivariate intersections on the GPU : [abstract]
    Universitetet i Oslo 2008
  • Børre Bang, Lubomir T. Dechevski, Arnt R. Kristoffersen, Arne Lakså :
    Generalized expo-rational B-splines for curves, surfaces, volume deformations and n-dimensional geometric modelling : [abstract]
    Universitetet i Oslo 2008
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang :
    Evaluation of expo-rational B-splines by numerical quadratures, I: Romberg integration
    2007
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang :
    Evaluation of expo-rational B-splines by numerical quadratures, II: Gaussian quadratures
    2007
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang :
    Approximation error of expo-rational B-spline interpolation, II: Euler-McLaurin interpolation and sampling theory
    2007
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang, Arnt R. Kristoffersen :
    Approximation error of expo-rational B-spline interpolation, I: Lagrange, Hermite and Birkhoff interpolation
    2007
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang :
    Generalized expo-rational B-splines : [abstract]
    2007
  • Lubomir T. Dechevski, Børre Bang, Xian Feng Bu, Arne Lakså :
    Variational calculus and multigrid dynamical programming on expo-rational surfaces and volume deformations: theory and applications : [abstract]
    2007
  • Lubomir T. Dechevski, Arne Lakså, Børre Bang :
    Introduction to generalized expo-rational B-splines
    2007

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