1. Enheten
  2. Ansatte
  3. Arne Lakså
Arne L
Arne L
Institutt for datateknologi og beregningsorienterte ingeniørfag arne.laksa@uit.no 76966221 Narvik Narvik D2280

Arne Lakså

Professor

  • Lakså, Arne. Beta-function B-splines and subdivision schemes, a preliminary study. Lecture Notes in Computer Science (LNCS) 2018; Volum 10665 LNCS. ISSN 0302-9743.s 592 - 599.s doi: 10.1007/978-3-319-73441-5_65.
  • Lakså, Arne. Pre-evaluation and interactive editing of B-spline and GERBS curves and surfaces. AIP Conference Proceedings 2017; Volum 1910. ISSN 0094-243X.s doi: 10.1063/1.5013999.
  • Lakså, Arne; Bang, Børre. Surface constructions on irregular grids. Lecture Notes in Computer Science (LNCS) 2015; Volum 9374. ISSN 0302-9743.s 385 - 393.s doi: 10.1007/978-3-319-26520-9_43.
  • Lakså, Arne. Non polynomial B-splines. AIP Conference Proceedings 2015; Volum 1690:030001. ISSN 0094-243X.s doi: 10.1063/1.4936700.
  • Lakså, Arne. Surface from Curves on Triangular Surfaces in Barycentric Coordinates. Springer 2014 (2014) ISBN 978-3-662-43879-4. ISSN 0302-9743.s 619 - 627.s doi: 10.1007/978-3-662-43880-0_71.
  • Lakså, Arne. Construction and properties of non-polynomial spline-curves. American Institute of Physics (AIP) 2014; Volum 1637 (.) ISBN 978-0-7354-1276-7. ISSN 0094-243X.s doi: 10.1063/1.4904623.
  • Dalmo, Rune; Bratlie, Jostein; Bang, Børre; Lakså, Arne. Smooth Spline Blending Surface approximation over a triangulated Irregular Network. International Journal of Applied Mathematics (IJAM) 2014; Volum 27 (1). ISSN 1311-1728.s 109 - 119.s doi: 10.12732/ijam.v27il.10.
  • Lakså, Arne. ERBS-surface construction on irregular grids. American Institute of Physics (AIP) 2013 (1570) ISBN 978-07354-1198-2. ISSN 0094-243X.s 113 - 120.s doi: 10.1063/1.4854749.
  • Dechevski, Lubomir T.; Zanaty, Peter Balint; Bang, Børre; Lakså, Arne. Smooth partition of unity with Hermite interpolation: applications to image processing. Proceedings of SPIE, the International Society for Optical Engineering 2012; Volum 8295. ISSN 0277-786X.s doi: 10.1117/12.909847.
  • Bang, Børre; Dechevski, Lubomir T.; Lakså, Arne; Zanaty, Peter Balint. Blending Functions for Hermite Interpolation by Beta-Function B-Splines on Triangulations. Springer 2012 (7116) ISBN 978-3-642-29842-4. ISSN 0302-9743.s 393 - 401.s doi: 10.1007/978-3-642-29843-1_44.
  • Dechevski, Lubomir T.; Zanaty, Peter Balint; Lakså, Arne; Bang, Børre Egil Johan. First Instances of Generalized Expo‐Rational Finite Elements on Triangulations. (data) AIP Conference Proceedings 2011; Volum 1410 (1). ISSN 0094-243X.s 49 - 61.s doi: 10.1063/1.3664356.
  • Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Bratlie, Jostein. Solving Closest-Point Multidimensional Computational Geometric Problems on Graphics Proccesing Units [abstract]. 2011.
  • Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre Egil Johan; Lakså, Arne; Gundersen, Joakim. Wavelet-Based Lossless One-and Two-Dimensional Representation of Multidimensional Geometric Data. (sammendrag) AIP Conference Proceedings 2011; Volum 1410. ISSN 0094-243X.s 83 - 97.s doi: 10.1063/1.3664359.
  • Kristoffersen, Arnt Roald; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre Egil Johan. Comparison between Polynomial, Euler Beta-Function and Expo-Rational B-Spline Bases. AIP Conference Proceedings 2011. ISSN 0094-243X.s 98 - 110.s doi: 10.1063/1.3664360.
  • Dechevski, Lubomir T.; Bang, Børre Egil Johan; Lakså, Arne; Zanaty, Peter Balint. Multivariate Hermite interpolation on scattered point sets using tensor-product expo-rational B-splines. (data) AIP Conference Proceedings 2011; Volum 1410 (1). ISSN 0094-243X.s 62 - 75.s doi: 10.1063/1.3664357.
  • Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Geometric modelling with Beta-function B-splines. I: Parametric curves. International Journal of Pure and Applied Mathematics 2010; Volum 65 (3). ISSN 1311-8080.s 339 - 360.
  • Dechevski, Lubomir; Lakså, Arne; Gundersen, Joakim; Bang, Børre; Kristoffersen, Arnt Roald; Zanaty, Peter Balint. Vertex-based "marching" algorithms for finding multidimensional geometric intersections. Proceedings of SPIE, the International Society for Optical Engineering 2010; Volum 7798. ISSN 0277-786X.s doi: 10.1117/12.860220.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre Egil Johan; Gundersen, Joakim; Kristoffersen, Arnt Roald; Zanaty, Peter Balint. Vertex-based "marching" algorithms for finding multidimensional geometric intersections. Proceedings of SPIE, the International Society for Optical Engineering 2010; Volum 7798. ISSN 0277-786X.s doi: 10.1117/12.860220.
  • Lakså, Arne. A method for sparse-matrix computation of B-spline curves and surfaces. Lecture Notes in Computer Science (LNCS) 2010 (5910). ISSN 0302-9743.s 796 - 804.
  • Dechevski, Lubomir T.; Bang, Børre Egil Johan; Gundersen, Joakim; Lakså, Arne; Kristoffersen, Arnt Roald. Solving non-linear systems of equations on graphics processing units. Lecture Notes in Computer Science (LNCS) 2010 (5910). ISSN 0302-9743.s 719 - 729.
  • Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Geometric modelling with Beta-function B-splines. II: Tensor-product parametric surfaces. International Journal of Pure and Applied Mathematics 2010; Volum 65 (3). ISSN 1311-8080.s 362 - 380.
  • Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne. Generalized expo-rational B-splines. International Journal of Pure and Applied Mathematics 2009; Volum 57 (6). ISSN 1311-8080.s 833 - 872.
  • Dechevski, Lubomir T.; Bu, Xian Feng; Bang, Børre; Lakså, Arne. Variational calculus and multigrid dynamical programming on expo-rational tensor-product surfaces. International Journal of Pure and Applied Mathematics 2009; Volum 51 (4). ISSN 1311-8080.s 567 - 595.
  • Dechevski, Lubomir T.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Expo-rational spline multiwavelets: a first overview of definitions, properties, generalizations and applications. (omtale) SPIE - International Society for Optical Engineering 2007 (vol. 6763).s 676308 - .
  • Dechevski, Lubomir T.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Expo-rational spline multiwavelets. 2007.s 17 - 21.
  • Dechevski, Lubomir T.; Kristoffersen, Arnt R.; Gundersen, Joakim; Lakså, Arne; Bang, Børre; Dokken, Tor. A "marching simplex" algorithm for approximate solution of non-linear systems of equations and applications to branching of solutions and intersection problems. International Journal of Pure and Applied Mathematics 2006; Volum Volume 33 (No. 3). ISSN 1311-8080.s 407 - 431.
  • Kristoffersen, Arnt R.; Georgiev, Dimiter T.; Dechevski, Lubomir T.; Lakså, Arne; Gundersen, Joakim; Bang, Børre. Vertex versus pixel based intersection: using the GPU for investigation of surface intersections. International Journal of Pure and Applied Mathematics 2006; Volum Volume 33 (No. 3). ISSN 1311-8080.s 345 - 365.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Nuerbs form of expo-rational B-splines. International Journal of Pure and Applied Mathematics 2006; Volum 32 (1). ISSN 1311-8080.s 1 - 22.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Expo-rational B-splines. International Journal of Pure and Applied Mathematics 2006; Volum 27 (3). ISSN 1311-8080.s 319 - 367.
  • Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Exploring expo-rational B-splines for curves and surfaces. 2005 ISBN 0-9728482-4-X.s 253 - 262.
  • Lakså, Arne; Bang, Børre. Simulating rolling and colliding balls on freeform surfaces with friction. Tapir Akademisk Forlag 2005 ISBN 8251920930.s 169 - 178.
  • Moguchaya, Tatiana N.; Gundersen, Joakim; Grip, Niklas; Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Quak, Ewald Gunther; Tong, Bowei. Data fitting by wavelet shrinkage using GM-waves. 2005 ISBN 0-9728482-4-X.s 263 - 274.
  • Olofsen, Hans; Lakså, Arne. Trigonometric and polynomial approximations of the Fabius function for use as Blending functions. 9th International Conference on Curves and Surfaces 2018-06-28 - 2018-07-04 2018.
  • Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. First instances of generalized expo-rational B-splines : Euler Beta-function B-splines. 2010.s 1 - .
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Zanaty, Péter. First instances of generalized expo-rational finite elements on triangulations. 2010.s 82 - 82.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R.. First instances of generalized expo-rational B-splines on triangulations. 2010.s 45 - 45.
  • Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Comparison between polynominal and expo-rational B-spline bases. 2010.s 44 - 44.
  • Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre; Lakså, Arne; Gundersen, Joakim. Wavelet-based lossless one- and two-dimensional representation of multidimensional geometric data. 2010.s 13 - 14.
  • Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Multivariate hermite interpolation in scattered point sets using tensor-product expo-rational B-splines. 2010.s 5 - 6.
  • Holdø, Arne Erik; Lakså, Arne; Kvalsvik, Kjetil. Lover massiv Narvik-satsing. 2009.
  • Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne. Generalized expo-rational B-splines. 2009 (10/2009). ISSN 1890-923X.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Estimating the error of approximation of expo-rational B-splines by Romberg numerical quadratures : [abstract]. 2009.s 1 - .
  • Lakså, Arne. A method for sparse-matrix computation of spline curves and surfaces. 2009.s 1 - .
  • Dechevski, Lubomir T.; Bang, Børre; Gundersen, Joakim; Lakså, Arne; Kristoffersen, Arnt R.. Solving non-linear systems of equations on graphics processing units (GPUs). 2009 (7/2009). ISSN 1890-923X.
  • Bang, Børre; Dechevski, Lubomir T.; Gundersen, Joakim; Kristoffersen, Arnt R.; Lakså, Arne. Computing multivariate intersections on the GPU : [abstract]. 2008.s 27 - .
  • Lakså, Arne. A generalized B-spline matrix form of spline. 2008.s 61 - .
  • Bang, Børre; Dechevski, Lubomir T.; Kristoffersen, Arnt R.; Lakså, Arne. Generalized expo-rational B-splines for curves, surfaces, volume deformations and n-dimensional geometric modelling : [abstract]. 2008.s 60 - .
  • Lakså, Arne. Basic properties of Expo-ratonal B-splines and practical use in Computer Aided Geometric design. 2007 (No. 606). ISSN 1501-7710.
  • Dechevski, Lubomir T.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Expo-rational spline multiwavelets : a first overview of definitions, properties, generalizations and applications. 2007 (No. 7/2007). ISSN 1504-4653.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Introduction to generalized expo-rational B-splines. 2007 (No. 5/2007). ISSN 1504-4653.
  • Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Bu, Xian Feng. Variational calculus and multigrid dynamical programming on Expo-Rational Surfaces and Volume deformations : theory and applications. 2007 (No. 4/2007). ISSN 1504-4653.
  • Dechevski, Lubomir T.; Bang, Børre; Bu, Xian Feng; Lakså, Arne. Variational calculus and multigrid dynamical programming on expo-rational surfaces and volume deformations: theory and applications : [abstract]. 2007.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Generalized expo-rational B-splines : [abstract]. 2007.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Approximation error of expo-rational B-spline interpolation, II: Euler-McLaurin interpolation and sampling theory. 2007 (vol. 1).s 103 - .
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R.. Approximation error of expo-rational B-spline interpolation, I: Lagrange, Hermite and Birkhoff interpolation. 2007 (vol. 1).s 102 - .
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Evaluation of expo-rational B-splines by numerical quadratures, II: Gaussian quadratures. 2007 (vol. 1).s 117 - 117.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Evaluation of expo-rational B-splines by numerical quadratures, I: Romberg integration. 2007 (vol. 1).s 100 - .
  • Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne. Expo-rational Bezier Triangular Patches and Expo-rational B-splines on Triangulations: Theoretical Observations and Algorithmic and Software Implementation : [abstract]. 2006.
  • Dechevski, Lubomir T.; Kristoffersen, Arnt R.; Gundersen, Joakim; Lakså, Arne; Bang, Børre; Dokken, Tor. A simplectification method for approximate solution of non-linear systems of equations: theory and applications to branching of solutions and intersections of implicit manifolds. 2006 (10/2006). ISSN 1504-4653.
  • Kristoffersen, Arnt R.; Georgiev, Dimiter T.; Dechevski, Lubomir T.; Lakså, Arne; Gundersen, Joakim; Bang, Børre. Vertex versus pixel based intersection: CPU versus GPU in investigation of surface intersections. 2006 (No. 9/2006). ISSN 1504-4653.
  • Lakså, Arne. A brief reflection on new methods in interactive visualization, simulations and geometric editing. 2006.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. Expo-rational B-splines. 2005 (1/2005). ISSN 1504-4653.
  • Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre. NUERBS form of expo-rational B-splines. 2004 (1/2004). ISSN 1504-4653.
  • Moguchaya, Tatiana N.; Gundersen, Joakim; Grip, Niklas; Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Quak, Ewald Gunther; Tong, Bowei. Curve and surface fitting by wavelet shrinkage using GM.waves. 2004 (6/2004). ISSN 1504-4653.
  • Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Dokken, Tor; Lakså, Arne. Approximate solution of non-linear systems of equations by piecewise linearization and applications to branching of solutions and intersection problems for curves and surfaces. 2004 (5/2004). ISSN 1504-4653.
  • Lakså, Arne; Bang, Børre; Dechevski, Lubomir T.. Exploring expo-rational B-splines for curves and surfaces. 2004 (2/2004). ISSN 1504-4653.
  • Lakså, Arne. Algorithm for N-circle-polygons. 2003 (7/2003) ISBN 8278231176. ISSN 0806-2005.
  • Deng, Ziqiong; Davidrajuh, Reggie; Bang, Børre; Lakså, Arne. Multi-agent based modeling for inter-enterprise integration. IFIP international enterprise modeling conference 2000.
  • Deng, Ziqiong; Bang, Børre; Lakså, Arne; Collin, Knut. Virtual manufacturing - how production enterprises can benefit through electronic networking. Næringslivsdagene i Tromsø 2000.
  • Deng, Ziqiong; Bang, Børre; Lakså, Arne; Nadarajah, S.; Jacucci, Gianni; Olling, Gustav J.; Preiss, Kenneth; Wozny, Michael J.. A model of enterprise integration and collaboration tools and communication infrastructure for inter-enterprise collaboration. International IFIP WG5.2/5.3 conference, 10 1999.
  • Myrland, Herold; Alavillamo, Harri; Knutsen, Stig-Roland; Collin, Knut; Lakså, Arne. IT infrastruktur for Narvik-halvøya "SUPERNETT NARVIK" : forstudie. 1997.
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