Tom Lyche

Publication Activity (10 Years)

Years Active: 1974-2024
Publications (10 Years): 12

Top Topics

Compactly Supported

Algebraic Geometry

Top Venues

Comput. Aided Geom. Des.

Found. Comput. Math.

Appl. Math. Comput.

Publications

Tom Lyche, Carla Manni, Hendrik Speleers
quartic splines on arbitrary triangulations. Appl. Math. Comput. 462 (2024)
Tom Lyche, Knut Mørken, Ulrich Reif
On the condition of cubic B-splines. J. Approx. Theory 289 (2023)
Tom Lyche, Carla Manni, Hendrik Speleers
Construction of $$C^2$$ Cubic Splines on Arbitrary Triangulations. Found. Comput. Math. 22 (5) (2022)
Andrea Bressan, Tom Lyche
Local Approximation from Spline Spaces on Box Meshes. Found. Comput. Math. 21 (3) (2021)
Tom Lyche, Carla Manni, Hendrik Speleers
cubic splines on arbitrary triangulations. CoRR (2021)
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 (2019)
Tom Lyche, Georg Muntingh
cubics on the Powell-Sabin 12-split. CoRR (2019)
Tom Lyche, Jean-Louis Merrien
Simplex-splines on the Clough-Tocher element. Comput. Aided Geom. Des. 65 (2018)
Solveig Bruvoll, Tom Lyche, Knut Mørken
Uniformly stable wavelets on nonuniform triangulations. Math. Comput. Simul. 137 (2017)
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 (2016)
Tom Lyche, Henry Schenck, Tatyana Sorokina
Multivariate Splines and Algebraic Geometry. Comput. Aided Geom. Des. 45 (2016)
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 (2016)
Tom Lyche, Georg Muntingh
-quintics on the Powell-Sabin 12-split. Comput. Aided Geom. Des. 31 (7-8) (2014)
Tor Dokken, Tom Lyche, Kjell Fredrik Pettersen
Polynomial splines over locally refined box-partitions. Comput. Aided Geom. Des. 30 (3) (2013)
Tom Lyche, Georg Muntingh
A Hermite interpolatory subdivision scheme for $C^2$-quintics on the Powell-Sabin 12-split. CoRR (2013)
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) (2013)
Michael S. Floater, Tom Lyche
Preface. J. Comput. Appl. Math. 233 (7) (2010)
Tom Lyche, Knut Mørken, Francesca Pelosi
Stable, linear spline wavelets on nonuniform knots with vanishing moments. Comput. Aided Geom. Des. 26 (2) (2009)
Michael S. Floater, Tom Lyche
Divided differences of inverse functions and partitions of a convex polygon. Math. Comput. 77 (264) (2008)
Panagiotis D. Kaklis, Paolo Costantini, Stefanie Hahmann, Tom Lyche
Special issue on constrained design of curves and surfaces. Comput. Aided Des. 40 (1) (2008)
Michael S. Floater, Tom Lyche
Two chain rules for divided differences and Faà di Bruno's formula. Math. Comput. 76 (258) (2007)
Tom Lyche, Jean-Louis Merrien
C1 Interpolatory Subdivision with Shape Constraints for Curves. SIAM J. Numer. Anal. 44 (3) (2006)
Tom Lyche, Marie-Laurence Mazure
Total positivity and the existence of piecewise exponential B-splines. Adv. Comput. Math. 25 (1-3) (2006)
Paolo Costantini, Tom Lyche, Carla Manni
On a class of weak Tchebycheff systems. Numerische Mathematik 101 (2) (2005)
Olaf Owe, Stein Krogdahl, Tom Lyche
A Biography of Ole-Johan Dahl. Essays in Memory of Ole-Johan Dahl (2004)
Tom Lyche, Juan Manuel Peña
Optimally Stable Multivariate Bases. Adv. Comput. Math. 20 (1-3) (2004)
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) (2004)
Olaf Owe, Stein Krogdahl, Tom Lyche
A Bibliography of Ole-Johan Dahl. Essays in Memory of Ole-Johan Dahl (2004)
Tom Lyche, Trygve K. Nilssen, Ragnar Winther
Preconditioned Iterative Methods for Scattered Data Interpolation. Adv. Comput. Math. 17 (3) (2002)
Michael S. Floater, Tom Lyche
Asymptotic convergence of degree-raising. Adv. Comput. Math. 12 (2-3) (2000)
Tom Lyche, Larry L. Schumaker
A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere. SIAM J. Sci. Comput. 22 (2) (2000)
Michael M. Stark, Elaine Cohen, Tom Lyche, Richard F. Riesenfeld
Computing Exact Shadow Irradiance Using Splines. SIGGRAPH (1999)
Per Erik Koch, Tom Lyche, Marian Neamtu, Larry L. Schumaker
Control curves and knot insertion for trigonometric splines. Adv. Comput. Math. 3 (4) (1995)
Per Erik Koch, Tom Lyche
Interpolation with Exponential B-Splines in Tension. Geometric Modelling (1992)
Tom Lyche, Kyrre Strøm
Knot insertion for Natural Splines. IMA Conference on the Mathematics of Surfaces (1992)
Tor Dokken, Morten Daehlen, Tom Lyche, Knut Mørken
Good approximation of circles by curvature-continuous Bézier curves. Comput. Aided Geom. Des. 7 (1-4) (1990)
Tom Lyche, Knut Mørken
Knot removal for parametric B-spline curves and surfaces. Comput. Aided Geom. Des. 4 (3) (1987)
Elaine Cohen, Tom Lyche, Larry L. Schumaker
Algorithms for Degree-Raising of Splines. ACM Trans. Graph. 4 (3) (1985)
Tom Lyche, Elaine Cohen, Knut Mørken
Knot line refinement algorithms for tensor product B-spline surfaces. Comput. Aided Geom. Des. 2 (1-3) (1985)
Elaine Cohen, Tom Lyche, Richard F. Riesenfeld
Discrete box splines and refinement algorithms. Comput. Aided Geom. Des. 1 (2) (1984)
Tom Lyche, Larry L. Schumaker
Procedures for computing Smoothing and Interpolating Natural Splines [E1] (Algorithm 480). Commun. ACM 17 (8) (1974)