

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. Non polynomial B-splines. AIP Conference Proceedings 2015; Volum 1690:030001. ISSN 0094-243X.s doi: 10.1063/1.4936700.
- 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. 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. 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. 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.
- 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; 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.
- 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.
- 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; 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.
- 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.
- 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.; 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.
- 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.; 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.; Quak, Ewald Gunther; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R.. Expo-rational spline multiwavelets. 2007.s 17 - 21.
- 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.; 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.
- 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.
- 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.; 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.
- Lakså, Arne; Bang, Børre. Simulating rolling and colliding balls on freeform surfaces with friction. Tapir Akademisk Forlag 2005 ISBN 8251920930.s 169 - 178.
- 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.
- 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.