Tom Lyche

According to our database, Tom Lyche authored at least 45 papers between 1974 and 2024.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of four.

2024

A local simplex spline basis for <i>C</i>³ quartic splines on arbitrary triangulations.

Tom Lyche, Carla Manni, Hendrik Speleers

Appl. Math. Comput., February, 2024

2023

On the condition of cubic B-splines.

Tom Lyche, Knut Mørken, Ulrich Reif

J. Approx. Theory, May, 2023

2022

Construction of $$C^2$$ Cubic Splines on Arbitrary Triangulations.

Tom Lyche, Carla Manni, Hendrik Speleers

Found. Comput. Math., 2022

2021

Local Approximation from Spline Spaces on Box Meshes.

Andrea Bressan, Tom Lyche

Found. Comput. Math., 2021

Construction of C² cubic splines on arbitrary triangulations.

Tom Lyche, Carla Manni, Hendrik Speleers

CoRR, 2021

2019

Tchebycheffian spline spaces over planar T-meshes: Dimension bounds and dimension instabilities.

Cesare Bracco, Tom Lyche, Carla Manni, Hendrik Speleers

J. Comput. Appl. Math., 2019

B-spline-like bases for C² cubics on the Powell-Sabin 12-split.

Tom Lyche, Georg Muntingh

CoRR, 2019

2018

Simplex-splines on the Clough-Tocher element.

Tom Lyche, Jean-Louis Merrien

Comput. Aided Geom. Des., 2018

2017

Uniformly stable wavelets on nonuniform triangulations.

Solveig Bruvoll, Tom Lyche, Knut Mørken

Math. Comput. Simul., 2017

2016

Multivariate Splines and Algebraic Geometry.

Tom Lyche, Henry Schenck, Tatyana Sorokina

Comput. Aided Geom. Des., 2016

On the dimension of Tchebycheffian spline spaces over planar T-meshes.

Cesare Bracco, Tom Lyche, Carla Manni, Fabio Roman, Hendrik Speleers

Comput. Aided Geom. Des., 2016

Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines.

Cesare Bracco, Tom Lyche, Carla Manni, Fabio Roman, Hendrik Speleers

Appl. Math. Comput., 2016

2014

A Hermite interpolatory subdivision scheme for C²-quintics on the Powell-Sabin 12-split.

Tom Lyche, Georg Muntingh

Comput. Aided Geom. Des., 2014

Exercises in Computational Mathematics with MATLAB.

Tom Lyche, Jean-Louis Merrien

Problem Books in Mathematics, Springer, ISBN: 978-3-662-43510-6, 2014

2013

A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines.

Elaine Cohen, Tom Lyche, Richard F. Riesenfeld

Math. Comput., 2013

A Hermite interpolatory subdivision scheme for $C^2$-quintics on the Powell-Sabin 12-split.

Tom Lyche, Georg Muntingh

CoRR, 2013

Polynomial splines over locally refined box-partitions.

Tor Dokken, Tom Lyche, Kjell Fredrik Pettersen

Comput. Aided Geom. Des., 2013

2010

Preface.

Michael S. Floater, Tom Lyche

J. Comput. Appl. Math., 2010

2009

Stable, linear spline wavelets on nonuniform knots with vanishing moments.

Tom Lyche, Knut Mørken, Francesca Pelosi

Comput. Aided Geom. Des., 2009

2008

Divided differences of inverse functions and partitions of a convex polygon.

Michael S. Floater, Tom Lyche

Math. Comput., 2008

Special issue on constrained design of curves and surfaces.

Panagiotis D. Kaklis, Paolo Costantini, Stefanie Hahmann, Tom Lyche

Comput. Aided Des., 2008

2007

Two chain rules for divided differences and Faà di Bruno's formula.

Michael S. Floater, Tom Lyche

Math. Comput., 2007

2006

C1 Interpolatory Subdivision with Shape Constraints for Curves.

Tom Lyche, Jean-Louis Merrien

SIAM J. Numer. Anal., 2006

Total positivity and the existence of piecewise exponential B-splines.

Tom Lyche, Marie-Laurence Mazure

Adv. Comput. Math., 2006

2005

On a class of weak Tchebycheff systems.

Paolo Costantini, Tom Lyche, Carla Manni

Numerische Mathematik, 2005

2004

T-spline simplification and local refinement.

Thomas W. Sederberg, David L. Cardon, G. Thomas Finnigan, Nicholas S. North, Jianmin Zheng, Tom Lyche

ACM Trans. Graph., 2004

Optimally Stable Multivariate Bases.

Tom Lyche, Juan Manuel Peña

Adv. Comput. Math., 2004

A Bibliography of Ole-Johan Dahl.

Olaf Owe, Stein Krogdahl, Tom Lyche

Proceedings of the From Object-Orientation to Formal Methods, 2004

A Biography of Ole-Johan Dahl.

Olaf Owe, Stein Krogdahl, Tom Lyche

Proceedings of the From Object-Orientation to Formal Methods, 2004

2002

Preconditioned Iterative Methods for Scattered Data Interpolation.

Tom Lyche, Trygve K. Nilssen, Ragnar Winther

Adv. Comput. Math., 2002

2000

A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere.

Tom Lyche, Larry L. Schumaker

SIAM J. Sci. Comput., 2000

Asymptotic convergence of degree-raising.

Michael S. Floater, Tom Lyche

Adv. Comput. Math., 2000

1999

Computing Exact Shadow Irradiance Using Splines.

Michael M. Stark, Elaine Cohen, Tom Lyche, Richard F. Riesenfeld

Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques, 1999

1995

Control curves and knot insertion for trigonometric splines.

Per Erik Koch, Tom Lyche, Marian Neamtu, Larry L. Schumaker

Adv. Comput. Math., 1995

1992

Knot insertion for Natural Splines.

Tom Lyche, Kyrre Strøm

Proceedings of the 5th IMA Conference on the Mathematics of Surfaces, 1992

Interpolation with Exponential B-Splines in Tension.

Per Erik Koch, Tom Lyche

Proceedings of the Geometric Modelling, Dagstuhl, 1992

Chapter 5: Conversion Between B-Spline Bases Using the Generalized Oslo Algorithm.

Tom Lyche, Knut Mørken, Kyrre Strøm

Proceedings of the Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992

Chapter 6: How Much Can the Size of the B-Spline Coefficients Be Reduced by Inserting One Knot?

Tom Lyche, Knut Mørken

Proceedings of the Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992

1991

Construction of Exponential Tension B-splines of Arbitrary Order.

Per Erik Koch, Tom Lyche

Proceedings of the Curves and Surfaces, 1991

1990

Good approximation of circles by curvature-continuous Bézier curves.

Tor Dokken, Morten Daehlen, Tom Lyche, Knut Mørken

Comput. Aided Geom. Des., 1990

1987

Knot removal for parametric B-spline curves and surfaces.

Tom Lyche, Knut Mørken

Comput. Aided Geom. Des., 1987

1985

Algorithms for Degree-Raising of Splines.

Elaine Cohen, Tom Lyche, Larry L. Schumaker

ACM Trans. Graph., 1985

Knot line refinement algorithms for tensor product B-spline surfaces.

Tom Lyche, Elaine Cohen, Knut Mørken

Comput. Aided Geom. Des., 1985

1984

Discrete box splines and refinement algorithms.

Elaine Cohen, Tom Lyche, Richard F. Riesenfeld

Comput. Aided Geom. Des., 1984

1974

Procedures for computing Smoothing and Interpolating Natural Splines [E1] (Algorithm 480).

Tom Lyche, Larry L. Schumaker

Commun. ACM, 1974