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2015
1 Lakså, Arne.
Non polynomial B-splines. AIP Conference Proceedings 2015 ;Volum 1690:030001.
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2 Lakså, Arne; Bang, Børre.
Surface constructions on irregular grids. Lecture Notes in Computer Science 2015 ;Volum 9374. s. 385-393
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2014
3 Dalmo, Rune; Bratlie, Jostein; Bang, Børre; Lakså, Arne.
Smooth Spline Blending Surface approximation over a triangulated Irregular Network. International Journal of Applied Mathematics 2014 ;Volum 27.(1) s. 109-119
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4 Lakså, Arne.
Construction and properties of non-polynomial spline-curves. I: AIP Conference Proceedings 1637. American Institute of Physics (AIP) 2014 ISBN 978-0-7354-1276-7.
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5 Lakså, Arne.
Surface from Curves on Triangular Surfaces in Barycentric Coordinates. I: Large-Scale Scientific Computing: 9th International Conference, LSSC 2013. Springer 2014 ISBN 978-3-662-43879-4. s. 619-627
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2013
6 Lakså, Arne.
ERBS-surface construction on irregular grids. I: 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS AMEE13. American Institute of Physics (AIP) 2013 ISBN 978-07354-1198-2. s. 113-120
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2012
7 Bang, Børre; Dechevski, Lubomir T.; Lakså, Arne; Zanaty, Peter Balint.
Blending Functions for Hermite Interpolation by Beta-Function B-Splines on Triangulations. I: Large-Scale Scientific Computing - 8th International Conference, LSSC 2011. Springer 2012 ISBN 978-3-642-29842-4. s. 393-401
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8 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. s. -
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2011
9 Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Bratlie, Jostein.
Solving Closest-Point Multidimensional Computational Geometric Problems on Graphics Proccesing Units [abstract]. I: 8th International Conference on Large-Scale Scientific Computations, LSSC 2011 [book of abstracts]. : Bulgarian Academy of Sciences 2011 s. -
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10 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. AIP Conference Proceedings 2011 ;Volum 1410.(1) s. 62-75
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11 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. AIP Conference Proceedings 2011 ;Volum 1410. s. 83-97
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12 Dechevski, Lubomir T.; Zanaty, Peter Balint; Lakså, Arne; Bang, Børre Egil Johan.
First Instances of Generalized Expo‐Rational Finite Elements on Triangulations. AIP Conference Proceedings 2011 ;Volum 1410.(1) s. 49-61
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13 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 s. 98-110
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2010
14 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. s. -
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15 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 2010 (5910) s. 719-729
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16 Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R..
Multivariate hermite interpolation in scattered point sets using tensor-product expo-rational B-splines. I: Curves and surfaces : seventh international conference : Avignon, France, June 24-30, 2010 : résumés. Avignon: SMAI-AFA (Association francaise d'appoximation) 2010 s. 5-6
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17 Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre; Lakså, Arne; Gundersen, Joakim.
Wavelet-based lossless one- and two-dimensional representation of multidimensional geometric data. I: Curves and surfaces : seventh international conference : Avignon, France, June 24-30, 2010 : résumés. Avignon: SMAI-AFA (Association francaise d'appoximation) 2010 s. 13-14
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18 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. s. -
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19 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R..
First instances of generalized expo-rational B-splines on triangulations. I: Curves and surfaces : seventh international conference : Avignon, France, June 24-30, 2010 : résumés. Avignon: SMAI-AFA (Association francaise d'appoximation) 2010 s. 45-45
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20 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Zanaty, Péter.
First instances of generalized expo-rational finite elements on triangulations. I: Curves and surfaces : seventh international conference : Avignon, France, June 24-30, 2010 : résumés. Avignon: SMAI-AFA (Association francaise d'appoximation) 2010 s. 82-82
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21 Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre.
Comparison between polynominal and expo-rational B-spline bases. I: Curves and surfaces : seventh international conference : Avignion, France, June 24-30, 2010 : résumés. Avignon: SMAI-AFA (Association francaise d'appoximation) 2010 s. 44-44
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22 Kristoffersen, Arnt R.; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre.
First instances of generalized expo-rational B-splines : Euler Beta-function B-splines. I: 36th international conference : Applications of mathematics in engineering and economics : AMEE '10, June 5-15, Sozopol, Bulgaria : scientific program. Sozopol, Bulgaria: Technical university of Sofia 2010 s. 1-
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23 Lakså, Arne.
A method for sparse-matrix computation of B-spline curves and surfaces. Lecture Notes in Computer Science 2010 (5910) s. 796-804
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24 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) s. 339-360
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25 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) s. 362-380
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2009
26 Dechevski, Lubomir T.; Bang, Børre; Gundersen, Joakim; Lakså, Arne; Kristoffersen, Arnt R..
Solving non-linear systems of equations on graphics processing units (GPUs). Narvik: Høgskolen i Narvik 2009 11 s. R&D report / Narvik University College(7/2009)
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27 Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne.
Generalized expo-rational B-splines. Narvik: Høgskolen i Narvik 2009 30 s. R&D report / Narvik University College(10/2009)
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28 Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne.
Generalized expo-rational B-splines. International journal of pure and applied mathematics 2009 ;Volum 57.(6) s. 833-872
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29 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) s. 567-595
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30 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre.
Estimating the error of approximation of expo-rational B-splines by Romberg numerical quadratures : [abstract]. I: AMEE'09 : 35th International conference on applications of mathematics in engineering and economics, Sozopol, June 7-12 2009 : [abstracts]. [Sozopol]: 2009 s. 1-
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31 Holdø, Arne Erik; Lakså, Arne; Kvalsvik, Kjetil.
Lover massiv Narvik-satsing. Fremover [Avis] 2009-02-07
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32 Lakså, Arne.
A method for sparse-matrix computation of spline curves and surfaces. I: 7th International conference on "Large-scale scientific computations" : LSSC'09 : Abstracts. [Sozopol]: Institute for parallel processing, Bulgarian academy of sciences 2009 s. 1-
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2008
33 Bang, Børre; Dechevski, Lubomir T.; Gundersen, Joakim; Kristoffersen, Arnt R.; Lakså, Arne.
Computing multivariate intersections on the GPU : [abstract]. I: Programme and abstracts : seventh international conference on mathematical methods for curves and surfaces, Tønsberg, Norway, june 26-july 1, 2008. Oslo: CMA/Universitetet i Oslo 2008 s. 27-
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34 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]. I: Programme and abstracts : seventh international conference on mathematical methods for curves and surfaces, Tønsberg, Norway, june 26-july 1, 2008. Oslo: CMA/Universitetet i Oslo 2008 s. 60-
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35 Lakså, Arne.
A generalized B-spline matrix form of spline. I: Programme and abstracts : seventh international conference on mathematical methods for curves and surfaces, Tønsberg, Norway, june 26-july 1, 2008. Oslo: CMA/Universitetet i Oslo 2008 s. 61-
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2007
36 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]. I: Fourth international conference on multivariate approximation: theory and applications, at Cancun (Westin spa & resort) Mexico, april 26-may 01, 2007. : MATA 2007
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37 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. Narvik: Høgskolen i Narvik 2007 13 s. Preprint / Narvik University College(No. 4/2007)
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38 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre.
Approximation error of expo-rational B-spline interpolation, II: Euler-McLaurin interpolation and sampling theory. I: Fourth international conference of applied mathematics and computing, august 12-18, 2007, Plovdiv, Bulgaria. Sofia: Technical university of Plovdiv, University of chemical technology and 2007 s. 103-
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39 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre.
Evaluation of expo-rational B-splines by numerical quadratures, I: Romberg integration. I: Fourth international conference of applied mathematics and computing, august 12-18, 2007, Plovdiv, Bulgaria. Sofia: Technical university of Plovdiv, University of chemical technology and 2007 s. 100-
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40 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre.
Evaluation of expo-rational B-splines by numerical quadratures, II: Gaussian quadratures. I: Fourth international conference of applied mathematics and computing, august 12-18, 2007, Plovdiv, Bulgaria. Sofia: Technical university of Plovdiv, University of chemical technology and 2007 s. 117-117
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41 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre.
Generalized expo-rational B-splines : [abstract]. I: Fourth international conference on multivariate approximation: theory and applications, at Cancun (Westin spa & resort) Mexico, april 26-may 01, 2007. : mata 2007 s. -
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42 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre.
Introduction to generalized expo-rational B-splines. Narvik: Høgskolen i Narvik 2007 10 s. Preprint / Narvik University College(No. 5/2007)
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43 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R..
Approximation error of expo-rational B-spline interpolation, I: Lagrange, Hermite and Birkhoff interpolation. I: Fourth international conference of applied mathematics and computing, august 12-18, 2007, Plovdiv, Bulgaria. Sofia: Technical university of Plovdiv, University of chemical technology and 2007 s. 102-
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44 Dechevski, Lubomir T.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R..
Expo-rational spline multiwavelets. I: Nonlinear problems of mathematical physics, numerical simulations and visualization. Sofia: Sofia University St.Kliment Ohridsky 2007 s. 17-21
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45 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. Narvik: Høgskolen i Narvik 2007 11 s. Preprint / Narvik University College(No. 7/2007)
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46 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. I: Proceedings of SPIE : Wavelet applications in industrial processing V, 11-12 september 2007,Boston, Massachusetts, USA. SPIE - International Society for Optical Engineering 2007 s. 676308-
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47 Lakså, Arne.
Basic properties of Expo-ratonal B-splines and practical use in Computer Aided Geometric design. Oslo: Universitetet i Oslo 2007 218 s. Series of dissertations submitted to the Faculty of Mathematics and Natural Sciences, University of Oslo.(No. 606)
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2006
48 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]. I: Bulgarian-Norwegian Workshop, Nonlinear Problems of Mathematical Physics, Numerical Simulations and Visualization, Sofia, July 28, 2006. Sofia, Bulgaria: Sofia University St. Kliment Ohridski, Faculty of Mathematics & Inform 2006
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49 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) s. 407-431
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50 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. Narvik: Høgskolen i Narvik 2006 16 s. Preprint / Narvik University College(10/2006)
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