Scattered data interpolation in three or more variables

[1]  Mary Ellen Rudin,et al.  An unshellable triangulation of a tetrahedron , 1958 .

[2]  D. Shepard.  A two-dimensional interpolation function for irregularly-spaced data , 1968, ACM National Conference.

[3]  R. L. Hardy.  Multiquadric equations of topography and other irregular surfaces , 1971 .

[4]  G. Strang.  Piecewise polynomials and the finite element method , 1973 .

[5]  A. Ženíšek.  Polynomial approximation on tetrahedrons in the finite element method , 1973 .

[6]  L. R. Scott,et al.  A nodal basis for ¹ piecewise polynomials of degree ≥5 , 1975 .

[7]  R. Barnhill,et al.  Polynomial interpolation to boundary data on triangles , 1975 .

[8]  Jean Duchon,et al.  Interpolation des fonctions de deux variables suivant le principe de la flexion des plaques minces , 1976 .

[9]  Robert E. Barnhill,et al.  Representation and Approximation of Surfaces , 1977 .

[10]  Malcolm A. Sabin,et al.  Piecewise Quadratic Approximations on Triangles , 1977, TOMS.

[11]  C. R. Deboor,et al.  A practical guide to splines , 1978 .

[12]  W. J. Gordon,et al.  Shepard’s method of “metric interpolation” to bivariate and multivariate interpolation , 1978 .

[13]  L. Schumaker.  On the Dimension of Spaces Of Piecewise Polynomials in Two Variables , 1979 .

[14]  Carl de Boor,et al.  Efficient Computer Manipulation of Tensor Products , 1979, TOMS.

[15]  G. Wahba,et al.  Some New Mathematical Methods for Variational Objective Analysis Using Splines and Cross Validation , 1980 .

[16]  R. Sibson,et al.  A brief description of natural neighbor interpolation , 1981 .

[17]  P. Lancaster,et al.  Surfaces generated by moving least squares methods , 1981 .

[18]  Robert J. Renka,et al.  A Storage-efficient Method for Construction of a Thiessen Triangulation , 1982 .

[19]  R. Franke.  Scattered data interpolation: tests of some methods , 1982 .

[20]  R. Barnhill,et al.  Properties of Shepard's surfaces , 1983 .

[21]  G. Nielson.  A method for interpolating scattered data based upon a minimum norm network , 1983 .

[22]  S. Stead.  Estimation of gradients from scattered data , 1984 .

[23]  Larry L. Schumaker,et al.  Bounds on the dimension of spaces of multivariate piecewise polynomials , 1984 .

[24]  Robert E. Barnhill,et al.  Smooth interpolation over hypercubes , 1984, Comput. Aided Geom. Des..

[25]  A. K. Cline,et al.  A triangle-based $C^1$ interpolation method , 1984 .

[26]  Robert J. Renka,et al.  Interpolation of data on the surface of a sphere , 1984, TOMS.

[27]  H. Akima,et al.  On estimating partial derivatives for bivariate interpolation of scattered data , 1984 .

[28]  Robert E. Barnhill,et al.  Multistage trivariate surfaces , 1984 .

[29]  P. Alfeld,et al.  A transfinite C 2interpolant over triangles , 1984 .

[30]  Peter Alfeld,et al.  A discrete $C^1$ interpolant for tetrahedral data , 1984 .

[31]  T. A. Foley,et al.  Three-stage interpolation to scattered data , 1984 .

[32]  Charles L. Lawson,et al.  $C^1$ surface interpolation for scattered data on a sphere , 1984 .

[33]  Peter Alfeld,et al.  A trivariate clough-tocher scheme for tetrahedral data , 1984, Comput. Aided Geom. Des..

[34]  G. Wahba.  Surface fitting with scattered noisy data on Euclidean D-space and on the sphere , 1984 .

[35]  R. E. Barnhill,et al.  Three- and four-dimensional surfaces , 1984 .

[36]  Peter Alfeld,et al.  MULTIVARIATE PERPENDICULAR INTERPOLATION , 1985 .

[37]  Thomas W. Sederberg.  Piecewise algebraic surface patches , 1985, Comput. Aided Geom. Des..

[38]  Robert E. Barnhill,et al.  Surfaces in computer aided geometric design: a survey with new results , 1985, Comput. Aided Geom. Des..

[39]  Peter Alfeld,et al.  Derivative generation from multivariate scattered data by functional minimization , 1985, Comput. Aided Geom. Des..

[40]  Andrew J. Worsey.  C2 interpolation over hypercubes , 1985, Comput. Aided Geom. Des..

[41]  John A. Gregory,et al.  Interpolation to boundary data on the simplex , 1985, Comput. Aided Geom. Des..

[42]  Robert E. Barnhill,et al.  A multidimensional surface problem: pressure on a wing , 1985, Comput. Aided Geom. Des..

[43]  Will Light,et al.  Approximation Theory in Tensor Product Spaces , 1985 .

[44]  C. Micchelli.  Interpolation of scattered data: Distance matrices and conditionally positive definite functions , 1986 .

[45]  Charles L. Lawson,et al.  Properties of n-dimensional triangulations , 1986, Comput. Aided Geom. Des..

[46]  C. D. Boor,et al.  B-Form Basics. , 1986 .

[47]  K. L. Rescorla.  C1 trivariate polynomial interpolation , 1987, Comput. Aided Geom. Des..

[48]  Gregory M. Nielson,et al.  Interpolation over a sphere based upon a minimum norm network , 1987, Comput. Aided Geom. Des..

[49]  Nira Dyn,et al.  Interpolation of scattered Data by radial Functions , 1987, Topics in Multivariate Approximation.

[50]  Bruce R. Piper,et al.  An explicit basis for C 1 quartic by various bivariate splines , 1987 .

[51]  Larry L. Schumaker,et al.  A Bibliography of multivariate Approximation , 1987, Topics in Multivariate Approximation.

[52]  Alain Le Mehaute,et al.  Unisolvent interpolation in Irn and the Simplicial Polynomial finite element method , 1987, Topics in Multivariate Approximation.

[53]  Larry L. Schumaker,et al.  Minimally supported bases for spaces of bivariate piecewise polynomials of smoothness r and degree d 4r + 1 , 1987, Comput. Aided Geom. Des..

[54]  Charles K. Chui,et al.  On multivariate Vertex splines and Applications , 1987, Topics in Multivariate Approximation.

[55]  M. J. D. Powell,et al.  Radial basis functions for multivariable interpolation: a review , 1987 .

[56]  G. Farin,et al.  Ann-dimensional Clough-Tocher interpolant , 1987 .

[57]  Larry L. Schumaker,et al.  Topics in Multivariate Approximation , 1987 .

[58]  M. Buhmann.  Convergence of Univariate Quasi-Interpolation Using Multiquadrics , 1988 .

[59]  Bruce R. Piper,et al.  A trivariate Powell-Sabin interpolant , 1988, Comput. Aided Geom. Des..

[60]  A. K. Cline,et al.  A divide-and-conquer approach to d-dimensional triangulations , 1988 .

[61]  I. R. H. Jackson.  Convergence properties of radial basis functions , 1988 .

[62]  Granville Sewell.  Plotting contour surfaces of a function of three variables , 1988, TOMS.

[63]  Remark on “Algorithm 657: Software for Plotting Contour Surfaces of a Function of Three Variables” , 1990, TOMS.

[64]  M. Buhmann.  Multivariate interpolation in odd-dimensional euclidean spaces using multiquadrics , 1990 .