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ORCIDTom Lyche
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- affiliation: University of Oslo, Norway
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2020 – today
- 2024
[j33]Tom Lyche, Carla Manni, Hendrik Speleers:
A local simplex spline basis for C3 quartic splines on arbitrary triangulations. Appl. Math. Comput. 462: 128330 (2024)- 2023
- [j32]Tom Lyche, Knut Mørken, Ulrich Reif:
On the condition of cubic B-splines. J. Approx. Theory 289: 105883 (2023) - 2022
- [j31]Tom Lyche, Carla Manni, Hendrik Speleers
:
Construction of $$C^2$$ Cubic Splines on Arbitrary Triangulations. Found. Comput. Math. 22(5): 1309-1350 (2022) - 2021
- [j30]Andrea Bressan, Tom Lyche:
Local Approximation from Spline Spaces on Box Meshes. Found. Comput. Math. 21(3): 807-848 (2021) - [i3]Tom Lyche, Carla Manni, Hendrik Speleers:
Construction of C2 cubic splines on arbitrary triangulations. CoRR abs/2110.07907 (2021)
2010 – 2019
- 2019
- [j29]Cesare Bracco, Tom Lyche, Carla Manni, Hendrik Speleers:
Tchebycheffian spline spaces over planar T-meshes: Dimension bounds and dimension instabilities. J. Comput. Appl. Math. 349: 265-278 (2019) - [i2]Tom Lyche, Georg Muntingh:
B-spline-like bases for C2 cubics on the Powell-Sabin 12-split. CoRR abs/1901.06885 (2019) - 2018
- [j28]Tom Lyche, Jean-Louis Merrien:
Simplex-splines on the Clough-Tocher element. Comput. Aided Geom. Des. 65: 76-92 (2018) - 2017
- [j27]Solveig Bruvoll, Tom Lyche, Knut Mørken:
Uniformly stable wavelets on nonuniform triangulations. Math. Comput. Simul. 137: 177-200 (2017) - [e7]Michael S. Floater, Tom Lyche, Marie-Laurence Mazure, Knut Mørken, Larry L. Schumaker:
Mathematical Methods for Curves and Surfaces - 9th International Conference, MMCS 2016, Tønsberg, Norway, June 23-28, 2016, Revised Selected Papers. Lecture Notes in Computer Science 10521, Springer 2017, ISBN 978-3-319-67884-9 [contents] - 2016
- [j26]Cesare Bracco, Tom Lyche, Carla Manni, Fabio Roman, Hendrik Speleers:
Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines. Appl. Math. Comput. 272: 187-198 (2016) - [j25]Tom Lyche, Henry Schenck, Tatyana Sorokina:
Multivariate Splines and Algebraic Geometry. Comput. Aided Geom. Des. 45: 1 (2016) - [j24]Cesare Bracco, Tom Lyche, Carla Manni, Fabio Roman, Hendrik Speleers:
On the dimension of Tchebycheffian spline spaces over planar T-meshes. Comput. Aided Geom. Des. 45: 151-173 (2016) - 2015
- [e6]Jean-Daniel Boissonnat, Albert Cohen, Olivier Gibaru, Christian Gout, Tom Lyche, Marie-Laurence Mazure, Larry L. Schumaker:
Curves and Surfaces - 8th International Conference, Paris, France, June 12-18, 2014, Revised Selected Papers. Lecture Notes in Computer Science 9213, Springer 2015, ISBN 978-3-319-22803-7 [contents] - 2014
- [b1]Tom Lyche, Jean-Louis Merrien:
Exercises in Computational Mathematics with MATLAB. Problem Books in Mathematics, Springer 2014, ISBN 978-3-662-43510-6, pp. I-XII, 1-372 - [j23]Tom Lyche, Georg Muntingh:
A Hermite interpolatory subdivision scheme for C2-quintics on the Powell-Sabin 12-split. Comput. Aided Geom. Des. 31(7-8): 464-474 (2014) - [e5]Michael S. Floater, Tom Lyche, Marie-Laurence Mazure, Knut Mørken, Larry L. Schumaker:
Mathematical Methods for Curves and Surfaces - 8th International Conference, MMCS 2012, Oslo, Norway, June 28 - July 3, 2012, Revised Selected Papers. Lecture Notes in Computer Science 8177, Springer 2014, ISBN 978-3-642-54381-4 [contents] - 2013
- [j22]Tor Dokken, Tom Lyche, Kjell Fredrik Pettersen:
Polynomial splines over locally refined box-partitions. Comput. Aided Geom. Des. 30(3): 331-356 (2013) - [j21]Elaine Cohen, Tom Lyche, Richard F. Riesenfeld:
A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines. Math. Comput. 82(283): 1667-1707 (2013) - [i1]Tom Lyche, Georg Muntingh:
A Hermite interpolatory subdivision scheme for $C^2$-quintics on the Powell-Sabin 12-split. CoRR abs/1312.0030 (2013) - 2012
- [e4]Jean-Daniel Boissonnat, Patrick Chenin, Albert Cohen, Christian Gout, Tom Lyche, Marie-Laurence Mazure, Larry L. Schumaker:
Curves and Surfaces - 7th International Conference, Avignon, France, June 24-30, 2010, Revised Selected Papers. Lecture Notes in Computer Science 6920, Springer 2012, ISBN 978-3-642-27412-1 [contents] - 2010
- [j20]Michael S. Floater, Tom Lyche:
Preface. J. Comput. Appl. Math. 233(7): 1619 (2010) - [e3]Morten Dæhlen, Michael S. Floater, Tom Lyche, Jean-Louis Merrien, Knut Mørken, Larry L. Schumaker:
Mathematical Methods for Curves and Surfaces, 7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers. Lecture Notes in Computer Science 5862, Springer 2010, ISBN 978-3-642-11619-3 [contents]
2000 – 2009
- 2009
- [j19]Tom Lyche, Knut Mørken, Francesca Pelosi:
Stable, linear spline wavelets on nonuniform knots with vanishing moments. Comput. Aided Geom. Des. 26(2): 203-216 (2009) - 2008
- [j18]Panagiotis D. Kaklis, Paolo Costantini, Stefanie Hahmann, Tom Lyche:
Special issue on constrained design of curves and surfaces. Comput. Aided Des. 40(1): 1-2 (2008) - [j17]Michael S. Floater, Tom Lyche:
Divided differences of inverse functions and partitions of a convex polygon. Math. Comput. 77(264): 2295-2308 (2008) - 2007
- [j16]Michael S. Floater, Tom Lyche:
Two chain rules for divided differences and Faà di Bruno's formula. Math. Comput. 76(258): 867-877 (2007) - 2006
- [j15]Tom Lyche, Marie-Laurence Mazure:
Total positivity and the existence of piecewise exponential B-splines. Adv. Comput. Math. 25(1-3): 105-133 (2006) - [j14]Tom Lyche, Jean-Louis Merrien:
C1 Interpolatory Subdivision with Shape Constraints for Curves. SIAM J. Numer. Anal. 44(3): 1095-1121 (2006) - 2005
- [j13]Paolo Costantini, Tom Lyche, Carla Manni:
On a class of weak Tchebycheff systems. Numerische Mathematik 101(2): 333-354 (2005) - 2004
- [j12]Tom Lyche, Juan Manuel Peña:
Optimally Stable Multivariate Bases. Adv. Comput. Math. 20(1-3): 149-159 (2004) - [j11]Thomas W. Sederberg, David L. Cardon, G. Thomas Finnigan, Nicholas S. North, Jianmin Zheng, Tom Lyche:
T-spline simplification and local refinement. ACM Trans. Graph. 23(3): 276-283 (2004) - [c5]Olaf Owe, Stein Krogdahl, Tom Lyche:
A Biography of Ole-Johan Dahl. Essays in Memory of Ole-Johan Dahl 2004: 1-7 - [c4]Olaf Owe, Stein Krogdahl, Tom Lyche:
A Bibliography of Ole-Johan Dahl. Essays in Memory of Ole-Johan Dahl 2004: 8-14 - [e2]Olaf Owe, Stein Krogdahl, Tom Lyche:
From Object-Orientation to Formal Methods, Essays in Memory of Ole-Johan Dahl. Lecture Notes in Computer Science 2635, Springer 2004, ISBN 3-540-21366-X [contents] - 2002
- [j10]Tom Lyche, Trygve K. Nilssen, Ragnar Winther:
Preconditioned Iterative Methods for Scattered Data Interpolation. Adv. Comput. Math. 17(3): 237-256 (2002) - 2000
- [j9]Michael S. Floater, Tom Lyche:
Asymptotic convergence of degree-raising. Adv. Comput. Math. 12(2-3): 175-187 (2000) - [j8]Tom Lyche, Larry L. Schumaker:
A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere. SIAM J. Sci. Comput. 22(2): 724-746 (2000)
1990 – 1999
- 1999
- [c3]Michael M. Stark, Elaine Cohen, Tom Lyche, Richard F. Riesenfeld:
Computing Exact Shadow Irradiance Using Splines. SIGGRAPH 1999: 155-164 - 1995
- [j7]Per Erik Koch, Tom Lyche, Marian Neamtu, Larry L. Schumaker:
Control curves and knot insertion for trigonometric splines. Adv. Comput. Math. 3(4): 405-424 (1995) - 1992
- [c2]Per Erik Koch, Tom Lyche:
Interpolation with Exponential B-Splines in Tension. Geometric Modelling 1992: 173-190 - [c1]Tom Lyche, Kyrre Strøm:
Knot insertion for Natural Splines. IMA Conference on the Mathematics of Surfaces 1992: 355-356 - [p3]Tom Lyche, Knut Mørken, Kyrre Strøm:
Chapter 5: Conversion Between B-Spline Bases Using the Generalized Oslo Algorithm. Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces 1992: 135-153 - [p2]Tom Lyche, Knut Mørken:
Chapter 6: How Much Can the Size of the B-Spline Coefficients Be Reduced by Inserting One Knot? Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces 1992: 155-178 - [e1]Ronald N. Goldman, Tom Lyche:
Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces. SIAM 1992, ISBN 978-0-89871-306-0 [contents] - 1991
- [p1]Per Erik Koch, Tom Lyche:
Construction of Exponential Tension B-splines of Arbitrary Order. Curves and Surfaces 1991: 255-258 - 1990
- [j6]Tor Dokken, Morten Daehlen, Tom Lyche, Knut Mørken:
Good approximation of circles by curvature-continuous Bézier curves. Comput. Aided Geom. Des. 7(1-4): 33-41 (1990)
1980 – 1989
- 1987
- [j5]Tom Lyche, Knut Mørken:
Knot removal for parametric B-spline curves and surfaces. Comput. Aided Geom. Des. 4(3): 217-230 (1987) - 1985
- [j4]Tom Lyche, Elaine Cohen, Knut Mørken:
Knot line refinement algorithms for tensor product B-spline surfaces. Comput. Aided Geom. Des. 2(1-3): 133-139 (1985) - [j3]Elaine Cohen, Tom Lyche, Larry L. Schumaker:
Algorithms for Degree-Raising of Splines. ACM Trans. Graph. 4(3): 171-181 (1985) - 1984
- [j2]Elaine Cohen, Tom Lyche, Richard F. Riesenfeld:
Discrete box splines and refinement algorithms. Comput. Aided Geom. Des. 1(2): 131-148 (1984)
1970 – 1979
- 1974
- [j1]Tom Lyche, Larry L. Schumaker:
Procedures for computing Smoothing and Interpolating Natural Splines [E1] (Algorithm 480). Commun. ACM 17(8): 463-467 (1974)
Coauthor Index
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