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Shape-Preserving Bivariate Interpolation

https://doi.org/10.1137/0727030
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15/15 checkable references clean · checked 2026-10-06

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

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The 15 checked references that resolve
resolves10.1145/321607.321609
A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
resolves10.1145/360767.360797
Algorithm 474: Bivariate interpolation and smooth surface fitting based on local procedures [E2]
resolves10.1137/0722024
Monotonicity Preserving Surface Interpolation
resolves10.1016/0167-8396(84)90003-7
A survey of curve and surface methods in CAGD
resolves10.1007/978-1-4612-6333-3
A Practical Guide to Splines
resolves10.1137/0722023
Monotone Piecewise Bicubic Interpolation
resolves10.1090/S0025-5718-1986-0815841-7
On monotone and convex spline interpolation
resolves10.1016/0377-0427(88)90290-7
An algorithm for computing shape-preserving interpolating splines of arbitrary degree
resolves10.1137/0908083
Co-Monotone Interpolating Splines of Arbitrary Degree—a Local Approach
resolves10.1109/MCG.1983.263246
Shape-Preserving Spline Interpolation for Specifying Bivariate Functions on Grids
resolves10.1016/B978-0-12-174585-1.50010-5
SHAPE PRESERVING SURFACE INTERPOLATION
resolves10.1016/B978-0-12-174585-1.50026-9
A BIBLIOGRAPHY OF MULTIVARIATE APPROXIMATION
resolves10.1016/0167-8396(85)90014-7
Monotonicity preserving bicubic interpolation: A progress report
resolves10.1016/B978-0-12-079050-0.50009-6
SMOOTH INTERPOLATION WITHOUT TWIST CONSTRAINTS
resolves10.1109/MCG.1987.277027
A Convexity-Preserving Grid Refinement Algorithm for Interpolation of Bivariate Functions
The 6 references without a DOI — listed, not checked
no DOI — not checkedR. E. Carlson, F. N. Fritsch, An algorithm for monotone piecewise bicubic interpolation, Report, UCRI-96791, Lawrence Livermore National Laboratory, Livermore, CA, 1987
no DOI — not checkedElementary Numerical Analysis. An Algorithmical Approach
no DOI — not checkedP. Costantini, SPBSI I : a code for computing shape-preserving bivariate spline interpolation, Report, 216, Department of Mathematics, University of Siena, Siena, Italy, 1989
no DOI — not checkedF. N. Fritsch, R. E. Carlson, BIMOND: monotone bivariate interpolation code, Report, UCID-30197, Lawrence Livermore National Laboratory, Livermore, CA, 1983
no DOI — not checkedBernstein polynomials
no DOI — not checkedJ. W. Schmidt, 1-D shape-preserving spline interpolation: existence theorems and construction of optimal splines, Report, 07-01-87, Sektion Matematik, Technische Universität Dresden, Dresden, German Democratic Republic, 1987
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. If Crossref’s record marks the work itself retracted, withdrawn, or removed, the badge says so instead of showing clean. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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