Larry L. Schumaker

发表

Nonexistence of Star-Supported Spline Bases

Larry L. Schumaker, Peter Alfeld, L. Schumaker, 1999, SIAM J. Math. Anal..

Quadrilateral Macroelements

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2002, SIAM J. Math. Anal..

Minimal energy surfaces using parametric splines

Larry L. Schumaker, Gregory E. Fasshauer, L. Schumaker, 1996, Comput. Aided Geom. Des..

Approximating weak Chebyshev subspaces by Chebyshev subspaces

Larry L. Schumaker, Frank Deutsch, Zvi Ziegler, 2003, J. Approx. Theory.

Topics in Multivariate Approximation

Larry L. Schumaker, Charles K. Chui, Florencio I. Utreras, 1987 .

Computational Methods for Parsimonious Data Fitting (Marjan Ribarič)

Larry L. Schumaker, 1985 .

A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere

Tom Lyche, Larry L. Schumaker, L. Schumaker, 2000, SIAM J. Sci. Comput..

A local Lagrange interpolation method based on C1 cubic splines on Freudenthal partitions

Frank Zeilfelder, Günther Nürnberger, Larry L. Schumaker, 2007, Math. Comput..

Bounds on the dimensions of trivariate spline spaces

Larry L. Schumaker, Peter Alfeld, 2008, Adv. Comput. Math..

Spline functions - basic theory, Third Edition

Larry L. Schumaker, L. Schumaker, 2007, Cambridge mathematical library.

Approximation power of polynomial splines on T-meshes

Larry L. Schumaker, Lujun Wang, L. Schumaker, 2012, Comput. Aided Geom. Des..

Cubic spline fitting using data dependent triangulations

Larry L. Schumaker, Ewald Quak, L. Schumaker, 1990, Comput. Aided Geom. Des..

Curve and surface design : Saint-Malo 99

Larry L. Schumaker, Pierre Jean Laurent, Pierre Sablonni ere, 2000 .

A Bibliography of multivariate Approximation

Larry L. Schumaker, Richard Franke, R. Franke, 1987, Topics in Multivariate Approximation.

Algorithm 480: Procedures for computing smoothing and interpolating natural splines

Tom Lyche, Larry L. Schumaker, L. Schumaker, 1974, Commun. ACM.

Convexity preserving splines over triangulations

Larry L. Schumaker, Hendrik Speleers, 2011, Comput. Aided Geom. Des..

Chapter 7: Scattered Data Fitting

Larry L. Schumaker, 2015 .

Mathematical Methods for Curves and Surfaces

Tom Lyche, Larry L. Schumaker, Marie-Laurence Mazure, 2016, Lecture Notes in Computer Science.

Multi-sided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling

Larry L. Schumaker, Vera Rayevskaya, 2005, Comput. Aided Geom. Des..

Convexity preserving C0 splines

Larry L. Schumaker, Hendrik Speleers, 2014, Adv. Comput. Math..

Chapter 8: Shape Control

Larry L. Schumaker, 2015 .

Spline functions - computational methods

Larry L. Schumaker, L. Schumaker, 2015 .

Reconstruction of 3-D objects using splines

Larry L. Schumaker, 1990, Other Conferences.

Letter to the editor

Larry L. Schumaker, 1986, Comput. Aided Geom. Des..

Error bounds for minimal energy bivariate polynomial splines

Larry L. Schumaker, Ming-Jun Lai, Manfred von Golitschek, 2002, Numerische Mathematik.

Macro-elements and stable local bases for splines on Powell-Sabin triangulations

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2003, Math. Comput..

Macro-elements and stable local bases for splines on Clough-Tocher triangulations

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2001, Numerische Mathematik.

Minimally supported bases for spaces of bivariate piecewise polynomials of smoothness r and degree d 4r + 1

Larry L. Schumaker, Peter Alfeld, Bruce R. Piper, 1987, Comput. Aided Geom. Des..

Wavelets, Images, and Surface Fitting

Larry L. Schumaker, Alain Le Méhauté, Pierre Jean Laurent, 1994 .

Curves and Surfaces, 7th International Conference, Avignon, France, June 24-30, 2010

Jean-Daniel Boissonnat, Tom Lyche, Larry L. Schumaker, 2012 .

Splines on spherical triangulations with hanging vertices

Larry L. Schumaker, L. Schumaker, 2013, Comput. Aided Geom. Des..

Use of Simulated Annealing to Construct Triangular Facet Surfaces

Larry L. Schumaker, G. Baszenski, 1991, Curves and Surfaces.

Chapter 5: Macro-element Interpolation Methods

Larry L. Schumaker, 2015 .

Mathematical Methods for Curves and Surfaces

Tom Lyche, Larry L. Schumaker, Marie-Laurence Mazure, 2012, Lecture Notes in Computer Science.

Mathematical methods in computer aided geometric design II

Tom Lyche, Larry L. Schumaker, Tom Lyche, 1992 .

Smooth macro-elements based on Clough-Tocher triangle splits

Larry L. Schumaker, Peter Alfeld, L. Schumaker, 2002, Numerische Mathematik.

Smooth macro-elements on Powell-Sabin-12 splits

Larry L. Schumaker, Tatyana Sorokina, L. Schumaker, 2005, Math. Comput..

Triangulation Methods

Larry L. Schumaker, L. Schumaker, 1987, Topics in Multivariate Approximation.

Curves and Surfaces

Tom Lyche, Larry L. Schumaker, Olivier Gibaru, 2014, Lecture Notes in Computer Science.

Reconstructing 3D Objects from Cross-Sections

Larry L. Schumaker, L. Schumaker, 1990 .

Stable Approximation and Interpolation with C1 Quartic Bivariate Splines

Larry L. Schumaker, Oleg Davydov, L. Schumaker, 2001, SIAM J. Numer. Anal..

Mathematical methods for curves and surfaces II : Lillehammer, 1997

Tom Lyche, Larry L. Schumaker, Morten Dæhlen, 1998 .

Subdivision Rules for General Meshes

Hans-Peter Seidel, Larry L. Schumaker, Albert Cohen, 2003 .

Chapter 6: Scattered Data Interpolation

Larry L. Schumaker, L. Schumaker, 2015 .

Lagrange Interpolation by C1 Cubic Splines on Triangulated Quadrangulations

Frank Zeilfelder, Günther Nürnberger, Larry L. Schumaker, 2004, Adv. Comput. Math..

C1 Quintic Splines on Type-4 Tetrahedral Partitions

Larry L. Schumaker, Tatyana Sorokina, 2004, Adv. Comput. Math..

Spline spaces on TR-meshes with hanging vertices

Larry L. Schumaker, Lujun Wang, L. Schumaker, 2011, Numerische Mathematik.

Local lagrange interpolation with cubic C1 splines on tetrahedral partitions

Frank Zeilfelder, Günther Nürnberger, Larry L. Schumaker, 2009, J. Approx. Theory.

Fortran subroutines for computing smoothing and interpolating natural splines

Tom Lyche, Larry L. Schumaker, Kamy Sepehrnoori, 1983 .

Two condensed macro-elements with full approximation power

Larry L. Schumaker, Peter Alfeld, Tatyana Sorokina, 2010, Adv. Comput. Math..

Surface Compression Using a Space of C1 Cubic Splines with a Hierarchical Basis

Larry L. Schumaker, Don Hong, 2003, Computing.

Nonnegativity preserving macro-element interpolation of scattered data

Larry L. Schumaker, Hendrik Speleers, 2010, Comput. Aided Geom. Des..

Approximation theory IV : proceedings of the International Symposium on Approximation Theory held at Texas A&M University, College Station, Texas, on January 10-14, 1983

Larry L. Schumaker, Charles K. Chui, Joseph D. Ward, 1983 .

Mathematical methods in computer aided geometric design

Tom Lyche, Larry L. Schumaker, L. Schumaker, 1989 .

Computation of g-Splines via a Factorization Method [E2] (Algorithm 485)

Larry L. Schumaker, Harold D. Eidson, L. Schumaker, 1974, Commun. ACM.

Shape-preserving knot removal

Larry L. Schumaker, Sonya S. Stanley, L. Schumaker, 1996, Comput. Aided Geom. Des..

Curves and surfaces with applications in CAGD

Larry L. Schumaker, Christophe Rabut, Alain Le Méhauté, 1997 .

Solving Elliptic PDE’s on Domains with Curved Boundaries with an Immersed Penalized Boundary Method

Larry L. Schumaker, L. Schumaker, 2019, J. Sci. Comput..

Least Squares Fitting by Linear Splines on Data Dependent Triangulations

Larry L. Schumaker, Ewald Quak, L. Schumaker, 1991, Curves and Surfaces.

Chapter 4: Computing with Splines

Larry L. Schumaker, L. Schumaker, 2015 .

Spline Models for Observational Data (Grace Wahba)

Larry L. Schumaker, L. Schumaker, 1991, SIAM Review.

Smooth Macro-Elements Based on Powell–Sabin Triangle Splits

Larry L. Schumaker, Peter Alfeld, L. Schumaker, 2002, Adv. Comput. Math..

Spline functions on triangulations

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2007, Encyclopedia of mathematics and its applications.

Approximation theory II : proceedings of an international symposium conducted by the University of Texas at Austin, Texas, January 18-21, 1976

Larry L. Schumaker, George G. Lorentz, Charles K. Chui, 1976 .

Computing bivariate splines in scattered data fitting and the finite-element method

Larry L. Schumaker, L. Schumaker, 2008, Numerical Algorithms.

On the Approximation Order of Splines on Spherical Triangulations

Larry L. Schumaker, Marian Neamtu, L. Schumaker, 2004, Adv. Comput. Math..

Curve and Surface Fitting: Saint-Malo 1999

Larry L. Schumaker, Albert Cohen, Christophe Rabut, 2000 .

On Generalized Cross Validation for Tensor Smoothing Splines

Larry L. Schumaker, Florencio I. Utreras, 1990, SIAM J. Sci. Comput..

Computing optimal triangulations using simulated annealing

Larry L. Schumaker, L. Schumaker, 1993, Comput. Aided Geom. Des..

Locally linearly independent bases for bivariate polynomial spline spaces

Larry L. Schumaker, Oleg Davydov, L. Schumaker, 2000, Adv. Comput. Math..

Finite Elements: Theory, Fast Solvers, and Applications in Elasticity Theory

Larry L. Schumaker, Dietrich Braess, L. Schumaker, 2007 .

On Hermite interpolation with polynomial splines on T-meshes

Larry L. Schumaker, Lujun Wang, L. Schumaker, 2013, J. Comput. Appl. Math..

Bernstein-Bézier polynomials on spheres and sphere-like surfaces

Larry L. Schumaker, Peter Alfeld, Marian Neamtu, 1996, Comput. Aided Geom. Des..

Certification of Algorithm 215: Shanks

Larry L. Schumaker, L. Schumaker, 1964, Communications of the ACM.

Tree-based Triangle Mesh Connectivity Encoding

Christian Rössl, Hans-Peter Seidel, Larry L. Schumaker, 2003 .

Algorithms for degree-raising of splines

Tom Lyche, Larry L. Schumaker, Elaine Cohen, 1985, TOGS.

Geometric Computing with CGAL and LEDA

Larry L. Schumaker, Stefan Schirra, Paul Sablonnière, 2000 .

Bernstein–Bézier Methods for Bivariate Polynomials

Larry L. Schumaker, Ming-Jun Lai, 2007 .

Dual bases for spline spaces on cells

Larry L. Schumaker, L. Schumaker, 1988, Comput. Aided Geom. Des..

Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines

Larry L. Schumaker, Oleg Davydov, L. Schumaker, 2007, IMA Conference on the Mathematics of Surfaces.

A C1 quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions

Larry L. Schumaker, Tatyana Sorokina, Andrew J. Worsey, 2009, J. Approx. Theory.

Proceedings of the international conference on Curves and surfaces in geometric design

Larry L. Schumaker, Pierre-Jean Laurent, Alain Le Méhauté, 1994 .

On the approximation power of bivariate splines

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 1998, Adv. Comput. Math..

Control curves and knot insertion for trigonometric splines

Tom Lyche, Larry L. Schumaker, Marian Neamtu, 1995, Adv. Comput. Math..

Nonnegativity preserving macro-element interpolation

Larry L. Schumaker, Hendrik Speleers, 2009 .

Triangulations in CAGD

Larry L. Schumaker, L. Schumaker, 1993, IEEE Computer Graphics and Applications.

A C2 trivariate macro-element based on the Clough-Tocher-split of a tetrahedron

Larry L. Schumaker, Peter Alfeld, L. Schumaker, 2005, Comput. Aided Geom. Des..

A C2 Trivariate Macroelement Based on the Worsey-Farin Split of a Tetrahedron

Larry L. Schumaker, Peter Alfeld, L. Schumaker, 2005, SIAM J. Numer. Anal..

A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data

Larry L. Schumaker, Ming-Jun Lai, 2009, SIAM J. Numer. Anal..

Optimal spline solutions of systems of ordinary differential equations

Larry L. Schumaker, L. Schumaker, 1982 .

On a collocation method for singular two point boundary value problems

Larry L. Schumaker, L. Schumaker, G. Reddien, 1975 .

Quasi-interpolants Based on Trigonometric Splines

Tom Lyche, Larry L. Schumaker, Sonya S. Stanley, 1998 .

A dual basis for L-splines and applications

Larry L. Schumaker, Karl Scherer, L. Schumaker, 1980 .

Curves and Surfaces : 8th International Conference, Paris, France, June 12-18, 2014, Revised Selected Papers

Jean-Daniel Boissonnat, Tom Lyche, Larry L. Schumaker, 2015 .

Discussion: Multivariate Adaptive Regression Splines

Larry L. Schumaker, 1991 .

Generalized Chebyshevian Splines

Günther Nürnberger, Larry L. Schumaker, M. Sommer, 1984 .

On the Approximation Power of Splines on Triangulated Quadrangulations

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 1998 .

Interpolation by generalized splines

Günther Nürnberger, Larry L. Schumaker, Manfred Sommer, 1983 .

Designing NURBS Cam Profiles Using Trigonometric Splines

Larry L. Schumaker, Helmut Pottmann, Marian Neamtu, 1998 .

On the Convergence of Cubic Interpolating Splines

Tom Lyche, Larry L. Schumaker, L. Schumaker, 1973 .

Bounds on the dimension of spaces of multivariate piecewise polynomials

Larry L. Schumaker, L. Schumaker, 1984 .

Bernstein-Bézier finite elements on tetrahedral–hexahedral–pyramidal partitions

Larry L. Schumaker, Mark Ainsworth, Oleg Davydov, 2016 .

On recursions for generalized splines

Larry L. Schumaker, L. Schumaker, 1982 .

Asymptotic properties of complete smoothing splines and applications

Larry L. Schumaker, Florencio I. Utreras, L. Schumaker, 1988 .

Two-stage spline methods for fitting surfaces

Larry L. Schumaker, L. Schumaker, 1976 .

Hybrid Be´zier patches on sphere-like surfaces

Larry L. Schumaker, L. Schumaker, Xiaoyu Liu, 1996 .

Lagrange Interpolation by C1 Cubic Splines on Triangulations of Separable Quadrangulations

Frank Zeilfelder, Günther Nürnberger, Larry L. Schumaker, 2002 .

PENALIZED LEAST SQUARES FITTING

Larry L. Schumaker, Manfred von Golitschek, 2002 .

Approximation theory XI : Gatlinburg 2004

Larry L. Schumaker, Charles K. Chui, Marian Neamtu, 2005 .

Trivariate Cr Polynomial Macroelements

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2007 .

Complete spline smoothing

Larry L. Schumaker, Chiu Li Hu, 1986 .

Solving Geometric Problems using Subdivision Methods and Range Analysis

Larry L. Schumaker, Dimas Martínez, Holger Theisel, 2005 .

On a Method of Carasso and Laurent for Constructing Interpolating Splines

Larry L. Schumaker, L. Schumaker, M. Munteanu, 1973 .

On dimension and existence of local bases for multivariate spline spaces

Larry L. Schumaker, Peter Alfeld, L. Schumaker, 1992 .

Numerical Methods in Approximation Theory, Vol. 9

Larry L. Schumaker, Dietrich Braess, 1992 .

A Trivariate Box Macroelement

Larry L. Schumaker, Tatyana Sorokina, L. Schumaker, 2005 .

Spline Functions on Triangulations: Triangulations and Quadrangulations

Larry L. Schumaker, Ming-Jun Lai, 2007 .

On Stable Local Bases for Bivariate Polynomial Spline Spaces

Larry L. Schumaker, Oleg Davydov, L. Schumaker, 2001 .

Fitting scattered data on sphere-like surfaces using spherical splines

Larry L. Schumaker, Peter Alfeld, Marian Neamtu, 1996 .

An international conference on curves and surfaces on Wavelets, images, and surface fitting

Larry L. Schumaker, Pierre-Jean Laurent, Alain Le Méhauté, 1994 .

L-Spline Wavelets

Tom Lyche, Larry L. Schumaker, L. Schumaker, 1994 .

ON APPROXIMATION BY POLYNOMIALS HAVING RESTRICTED RANGES.

Larry L. Schumaker, G. D. Taylor, L. Schumaker, 1968 .

International Conference on Curves and Surfaces (4th), Held in Saint-Malo, France, on 1-7 July 1999. Proceedings, Volume 2. Curve and Surface Fitting

Larry L. Schumaker, Christophe Rabut, Albert Cohen, 2000 .

Approximation Theory V

Larry L. Schumaker, Charles K. Chui, Joseph D. Ward, 1986 .

Interpolation and scattered data fitting on manifolds using projected Powell–Sabin splines

Larry L. Schumaker, Oleg Davydov, L. Schumaker, 2008 .

The dimension of bivariate spline spaces of smoothnessr for degreed≥4r+1

Larry L. Schumaker, Peter Alfeld, L. Schumaker, 1987 .

On pLg-splines

Larry L. Schumaker, L. Schumaker, P. Copley, 1978 .

Zeros of spline functions and applications

Larry L. Schumaker, L. Schumaker, 1976 .

Uniform Approximation by Tchebycheffian Spline Functions

Larry L. Schumaker, L. Schumaker, 1968 .

Trivariate C Polynomial Macro-Elements

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2006 .

Generalized Tchebycheffian splines

Günther Nürnberger, Larry L. Schumaker, Manfred Sommer, 1984 .

Wavelets on Closed Subsets of the Real Line

Larry L. Schumaker, 2007 .

Super spline spaces of smoothnessr and degreed≥3r+2

Larry L. Schumaker, L. Schumaker, Adel K. Ibrahim, 1991 .

Stable Local Nodal Bases for C1 Bivariate Polynomial Splines

Larry L. Schumaker, Oleg Davydov, L. Schumaker, 2000 .

Approximation theory X : wavelets, splines, and applications

Larry L. Schumaker, Charles K. Chui, Joachim Stöckler, 2002 .

The generic dimension of the space of C 1 splines of degree d ≥8 on tetrahedral decompositions

Larry L. Schumaker, Peter Alfeld, Walter Whiteley, 1993 .

Dimension and local bases of homogeneous spline spaces

Larry L. Schumaker, Peter Alfeld, Marian Neamtu, 1996 .

Interated Deferred Corrections for Initial Value Problems

Larry L. Schumaker, James W. Daniel, Victor Pereyra, 1967 .

Bivariate Natural Spline Smoothing

Larry L. Schumaker, L. Schumaker, Chui Li Hu, 1985 .

On Stable Local Bases for BivariatePolynomial Spline

Larry L. Schumaker, L. Schumaker, SpacesOleg Davydov, 1999 .

Splines on Triangulations with Hanging Vertices

Larry L. Schumaker, Lujun Wang, L. Schumaker, 2012 .

Local Lagrange Interpolation with Bivariate Splines of Arbitrary Smoothness

Frank Zeilfelder, Günther Nürnberger, Larry L. Schumaker, 2005 .

On hyperbolic splines

Larry L. Schumaker, 1983 .

Local Lagrange interpolation by bivariate C 1 cubic splines

Frank Zeilfelder, Günther Nürnberger, Larry L. Schumaker, 2001 .

On Spaces of Piecewise Polynomials in Two Variables

Larry L. Schumaker, L. Schumaker, 1984 .

ON SPACES OF PIECEWISE POLYNOMIALS WITH BOUNDARY CONDITIONS. I. RECTANGLES

Larry L. Schumaker, C. K. Chui, C. Chui, 1982 .

On super splines and finite elements

Larry L. Schumaker, L. Schumaker, 1989 .

On the dimension of bivariate spline spaces of smoothnessr and degreed=3r+1

Larry L. Schumaker, Peter Alfeld, L. Schumaker, 1990 .