Procedures for computing Smoothing and Interpolating Natural Splines [E1] (Algorithm 480). - Tom Lyche; Larry L. Schumaker (Commun. ACM, 1974)

Discrete box splines and refinement algorithms. - Elaine Cohen; Tom Lyche; Richard F. Riesenfeld (Comput. Aided Geom. Des., 1984)

Knot line refinement algorithms for tensor product B-spline surfaces. - Tom Lyche; Elaine Cohen; Knut Mørken (Comput. Aided Geom. Des., 1985)

Algorithms for Degree-Raising of Splines. - Elaine Cohen; Tom Lyche; Larry L. Schumaker (ACM Trans. Graph., 1985)

Knot removal for parametric B-spline curves and surfaces. - Tom Lyche; Knut Mørken (Comput. Aided Geom. Des., 1987)

Good approximation of circles by curvature-continuous Bézier curves. - Tor Dokken; Morten Daehlen; Tom Lyche; Knut Mørken (Comput. Aided Geom. Des., 1990)

Construction of Exponential Tension B-splines of Arbitrary Order. - Per Erik Koch; Tom Lyche (Curves and Surfaces, 1991)

Chapter 6: How Much Can the Size of the B-Spline Coefficients Be Reduced by Inserting One Knot? - Tom Lyche; Knut Mørken (Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992)

Chapter 5: Conversion Between B-Spline Bases Using the Generalized Oslo Algorithm. - Tom Lyche; Knut Mørken; Kyrre Strøm (Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, 1992)

Interpolation with Exponential B-Splines in Tension. - Per Erik Koch; Tom Lyche (Geometric Modelling, 1992)

Knot insertion for Natural Splines. - Tom Lyche; Kyrre Strøm (IMA Conference on the Mathematics of Surfaces, 1992)

Control curves and knot insertion for trigonometric splines. - Per Erik Koch; Tom Lyche; Marian Neamtu; Larry L. Schumaker (Adv. Comput. Math., 1995)

Computing Exact Shadow Irradiance Using Splines. - Michael M. Stark; Elaine Cohen; Tom Lyche; Richard F. Riesenfeld (SIGGRAPH, 1999)

Asymptotic convergence of degree-raising. - Michael S. Floater; Tom Lyche (Adv. Comput. Math., 2000)

A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere. - Tom Lyche; Larry L. Schumaker (SIAM J. Sci. Comput., 2000)

Preconditioned Iterative Methods for Scattered Data Interpolation. - Tom Lyche; Trygve K. Nilssen; Ragnar Winther (Adv. Comput. Math., 2002)

A Biography of Ole-Johan Dahl. - Olaf Owe; Stein Krogdahl; Tom Lyche (Essays in Memory of Ole-Johan Dahl, 2004)

A Bibliography of Ole-Johan Dahl. - Olaf Owe; Stein Krogdahl; Tom Lyche (Essays in Memory of Ole-Johan Dahl, 2004)

Optimally Stable Multivariate Bases. - Tom Lyche; Juan Manuel Peña 001 (Adv. Comput. Math., 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)

On a class of weak Tchebycheff systems. - Paolo Costantini; Tom Lyche; Carla Manni (Numerische Mathematik, 2005)

Total positivity and the existence of piecewise exponential B-splines. - Tom Lyche; Marie-Laurence Mazure (Adv. Comput. Math., 2006)

C1 Interpolatory Subdivision with Shape Constraints for Curves. - Tom Lyche; Jean-Louis Merrien (SIAM J. Numer. Anal., 2006)

Two chain rules for divided differences and Faà di Bruno's formula. - Michael S. Floater; Tom Lyche (Math. Comput., 2007)

Special issue on constrained design of curves and surfaces. - Panagiotis D. Kaklis; Paolo Costantini; Stefanie Hahmann; Tom Lyche (Comput. Aided Des., 2008)

Divided differences of inverse functions and partitions of a convex polygon. - Michael S. Floater; Tom Lyche (Math. Comput., 2008)

Stable, linear spline wavelets on nonuniform knots with vanishing moments. - Tom Lyche; Knut Mørken; Francesca Pelosi (Comput. Aided Geom. Des., 2009)

Preface. - Michael S. Floater; Tom Lyche (J. Comput. Appl. Math., 2010)

Polynomial splines over locally refined box-partitions. - Tor Dokken; Tom Lyche; Kjell Fredrik Pettersen (Comput. Aided Geom. Des., 2013)

A Hermite interpolatory subdivision scheme for $C^2$-quintics on the Powell-Sabin 12-split. - Tom Lyche; Georg Muntingh (CoRR, 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)

Exercises in Computational Mathematics with MATLAB. - Tom Lyche; Jean-Louis Merrien (Springer, 2014)

A Hermite interpolatory subdivision scheme for C2-quintics on the Powell-Sabin 12-split. - Tom Lyche; Georg Muntingh (Comput. Aided Geom. Des., 2014)

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)

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)

Multivariate Splines and Algebraic Geometry. - Tom Lyche; Henry Schenck; Tatyana Sorokina (Comput. Aided Geom. Des., 2016)

Uniformly stable wavelets on nonuniform triangulations. - Solveig Bruvoll; Tom Lyche; Knut Mørken (Math. Comput. Simul., 2017)

Simplex-splines on the Clough-Tocher element. - Tom Lyche; Jean-Louis Merrien (Comput. Aided Geom. Des., 2018)

B-spline-like bases for C2 cubics on the Powell-Sabin 12-split. - Tom Lyche; Georg Muntingh (CoRR, 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)

Construction of C2 cubic splines on arbitrary triangulations. - Tom Lyche; Carla Manni; Hendrik Speleers (CoRR, 2021)

Local Approximation from Spline Spaces on Box Meshes. - Andrea Bressan; Tom Lyche (Found. Comput. Math., 2021)

Construction of $$C^2$$ Cubic Splines on Arbitrary Triangulations. - Tom Lyche; Carla Manni; Hendrik Speleers (Found. Comput. Math., 2022)

On the condition of cubic B-splines. - Tom Lyche; Knut Mørken; Ulrich Reif (J. Approx. Theory, 2023)

A parsimonious approach to C2 cubic splines on arbitrary triangulations: Reduced macro-elements on the cubic Wang-Shi split. - Tom Lyche; Carla Manni; Hendrik Speleers (CoRR, 2024)

A local simplex spline basis for C3 quartic splines on arbitrary triangulations. - Tom Lyche; Carla Manni; Hendrik Speleers (Appl. Math. Comput., 2024)

A C1 simplex-spline basis for the Alfeld split in Rs. - Tom Lyche; Jean-Louis Merrien; Hendrik Speleers (Comput. Aided Geom. Des., 2025)