Robust regression and outlier detection
Robust regression and outlier detection
Multivariate interpolation of large sets of scattered data
ACM Transactions on Mathematical Software (TOMS)
Modifying the shape of rational B-splines. part2: surfaces
Computer-Aided Design
Modifying the shape of rational B-splines. part 1: curves
Computer-Aided Design
Computation of thin-plate splines
SIAM Journal on Scientific and Statistical Computing
Algorithm 661: QSHEP3D: quadratic Shepard method for trivariate interpolation of scattered data
ACM Transactions on Mathematical Software (TOMS)
Algorithm 790: CSHEP2D: cubic Shepard method for bivariate interpolation of scattered data
ACM Transactions on Mathematical Software (TOMS)
Algorithm 791: TSHEP2D: cosine series Shepard method for bivariate interpolation of scattered data
ACM Transactions on Mathematical Software (TOMS)
Algorithm 798: high-dimensional interpolation using the modified Shepard method
ACM Transactions on Mathematical Software (TOMS)
Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
ACM Transactions on Mathematical Software (TOMS)
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
Computer-aided design applications of the rational b-spline approximation form.
Computer-aided design applications of the rational b-spline approximation form.
ACM Transactions on Mathematical Software (TOMS)
Sequential sampling for contour estimation with concurrent function evaluations
Structural and Multidisciplinary Optimization
Efficient global optimization algorithm assisted by multiple surrogate techniques
Journal of Global Optimization
A meshless interpolation algorithm using a cell-based searching procedure
Computers & Mathematics with Applications
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Scattered data interpolation problems arise in many applications. Shepard’s method for constructing a global interpolant by blending local interpolants using local-support weight functions usually creates reasonable approximations. SHEPPACK is a Fortran 95 package containing five versions of the modified Shepard algorithm: quadratic (Fortran 95 translations of Algorithms 660, 661, and 798), cubic (Fortran 95 translation of Algorithm 791), and linear variations of the original Shepard algorithm. An option to the linear Shepard code is a statistically robust fit, intended to be used when the data is known to contain outliers. SHEPPACK also includes a hybrid robust piecewise linear estimation algorithm RIPPLE (residual initiated polynomial-time piecewise linear estimation) intended for data from piecewise linear functions in arbitrary dimension m. The main goal of SHEPPACK is to provide users with a single consistent package containing most existing polynomial variations of Shepard’s algorithm. The algorithms target data of different dimensions. The linear Shepard algorithm, robust linear Shepard algorithm, and RIPPLE are the only algorithms in the package that are applicable to arbitrary dimensional data.