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Rocky Mountain Journal of Mathematics
VOL. 14 · NO. 1 | Winter 1984
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 14, no. 1, (1984)
Rocky Mountain J. Math. 14 (1), (Winter 1984) Open Access
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Surfaces
R.E. Barnhill, Gregory M. Nielson
Rocky Mountain J. Math. 14 (1), 1-4, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-1 Open Access
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Articles
A discrete $C^1$ interpolant for tetrahedral data
Peter Alfeld
Rocky Mountain J. Math. 14 (1), 5-16, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-5 Open Access
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A transfinite C 2interpolant over triangles
Peter Alfeld, Robert E. Barnhill
Rocky Mountain J. Math. 14 (1), 17-40, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-17 Open Access
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On estimating partial derivatives for bivariate interpolation of scattered data
Hiroshi Akima
Rocky Mountain J. Math. 14 (1), 41-52, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-41 Open Access
KEYWORDS: smooth surface fitting, bivariate interpolation, partial derivative, scattered data
No abstract available
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Adaptive triangular cubature
R.E. Barnhill, F.F. Little
Rocky Mountain J. Math. 14 (1), 53-76, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-53 Open Access
KEYWORDS: Potential flow integrals, singular integrals, Computer Graphics, Automatic numerical integration, Bivariate integration, Adaptive cubature
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Three- and four-dimensional surfaces
R.E. Barnhill, F.F. Little
Rocky Mountain J. Math. 14 (1), 77-102, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-77 Open Access
No abstract available
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Multistage trivariate surfaces
Robert E. Barnhill, Sarah E. Stead
Rocky Mountain J. Math. 14 (1), 103-118, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-103 Open Access
KEYWORDS: surfaces, interpolation, Delta Sums, Shepard's formula, Computer Graphics, Distance-weigh ted Interpolants, Four-dimensional Surfaces, Boolean Sums, Hardy's Multiquadrics
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A storage-efficient method for construction of a Thiessen triangulation
A.K. Cline, R.L. Renka
Rocky Mountain J. Math. 14 (1), 119-140, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-119 Open Access
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Three-stage interpolation to scattered data
Thomas A. Foley
Rocky Mountain J. Math. 14 (1), 141-150, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-141 Open Access
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A representation for the constructive design of curved surfaces
Thomas Jensen
Rocky Mountain J. Math. 14 (1), 151-158, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-151 Open Access
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An application of multivariate B-splines to computer-aided geometric design
Peter Kochevar
Rocky Mountain J. Math. 14 (1), 159-176, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-159 Open Access
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$C^1$ surface interpolation for scattered data on a sphere
Charles L. Lawson
Rocky Mountain J. Math. 14 (1), 177-202, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-177 Open Access
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A method for construction of surfaces under tension
Gregory M. Nielson, Richard Franke
Rocky Mountain J. Math. 14 (1), 203-222, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-203 Open Access
KEYWORDS: scattered data interpolation, spline under tension, surface fitting, data fitting, minimum norm, 65D05, 41A15, multivariate approximation
No abstract available
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A triangle-based $C^1$ interpolation method
R.L. Renka, A.K. Cline
Rocky Mountain J. Math. 14 (1), 223-238, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-223 Open Access
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$C^1$ >splines for interpolation of rapidly varying data
K. Salkauskas
Rocky Mountain J. Math. 14 (1), 239-250, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-239 Open Access
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Bounds on the dimension of spaces of multivariate piecewise polynomials
Larry L. Schumaker
Rocky Mountain J. Math. 14 (1), 251-264, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-251 Open Access
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Estimation of gradients from scattered data
Sarah E. Stead
Rocky Mountain J. Math. 14 (1), 265-280, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-265 Open Access
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Surface fitting with scattered noisy data on Euclidean D-space and on the sphere
Grace Wahba
Rocky Mountain J. Math. 14 (1), 281-300, (Winter 1984) DOI: 10.1216/RMJ-1984-14-1-281 Open Access
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