Interpolation of data on the surface of a sphere

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Interpolation of data on the surface of a sphere

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 10 , Issue 4 (December 1984) table of contents

Pages: 417 - 436

Year of Publication: 1984

ISSN:0098-3500

Author

Robert J. Renka

Oak Ridge National Laboratory

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 13, Downloads (12 Months): 133, Citation Count: 8

Additional Information:

appendices and supplements references cited by index terms review collaborative colleagues

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APPENDICES and SUPPLEMENTS

623.gz (49 KB)

interpolant with one continuous derivative from data values associated with arbitrarily distributed nodes on the surface of a sphere
Gams: E2b

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Hiroshi Akima, A Method of Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points, ACM Transactions on Mathematical Software (TOMS), v.4 n.2, p.148-159, June 1978 [doi>10.1145/355780.355786]
	2	AMERXCAN NATIONAL STANDARDS INSTITUTE. Amerman National Standard FORTRAN, Publ. X3.9, New York, 1966.
	3	BARNHILL, R.E., BmKHOFF, G., AND GORDON, W.J. Smooth interpolation in triangles. J. Approx Theory 8 (1973), 114-128.
	4	CUNE, A.K., AND RENKA, R.J. A storage-efficient method for construction of a Thiessen triangulation. Rocky Mountain J Math 14, 1 (Winter 1984), 119-139.
	5	FRANKE, R. A critmal comparison of some methods for interpolation of scattered data. Tech. Rep. NPS-53-79-003. Naval Postgraduate School, Monterey, Calif., 1979.
	6	LAWSON, C.L. C 1 surface interpolation for scattered data on a sphere. Rocky Mountain J. Math. 14, 1 (Winter 1984), 177-202.
	7	LAWSON, C.L. Software for C 1 surface interpolation. In Mathematwal Software III, J.R. Rice, Ed. Academic Press, New York, 1977, 161-194.
	8	MCLAIN, D.H. Two dimensional interpolation from random data. Comput J 19, 2 (1976), 178- 181; also, Errata. Comput J 19, 4 (1976), 384.
	9	NIELSON, G.M. The side-vertex method for interpolation in triangles. J. Approx. Theory 25 (1979), 318-336.
	10	RENKA, R.J., AND CLINE, A.K. A triangle-based C 1 interpolation method. Rocky Mountain J. Math. 14, 1 (Winter 1984), 223-237.
	11	RYDER, B.G. The PFORT verifier. So#w. Pract. Exper. 4 (1974), 359-377.
	12	WAHBA, G. Spline interpolation and smoothing on the sphere. SIAM J. Sci Star Comput. 2 (Mar. 1981), 5-16; also, Errata. SIAMJ. Sci. Star. Comput. 3 (Sept. 1981), 385-386.

CITED BY 8

	Robert J. Renka, Algorithm 623: Interpolation on the Surface of a Sphere, ACM Transactions on Mathematical Software (TOMS), v.10 n.4, p.437-439, Dec. 1984
	Robert J. Renka, Algorithm 773: SSRFPACK: interpolation of scattered data on the surface of a sphere with a surface under tension, ACM Transactions on Mathematical Software (TOMS), v.23 n.3, p.435-442, Sept. 1997
	Oscar Palacios-Velez, A dynamic hierarchical subdivision algorithm for computing Delaunay triangulations and other closest-point problems, ACM Transactions on Mathematical Software (TOMS), v.16 n.3, p.275-291, Sept. 1990
	Thomas A. Foley , David A. Lane, Visualization of irregular multivariate data, Proceedings of the 1st conference on Visualization '90, October 23-26, 1990, San Francisco, California
	Thomas A. Foley , David A. Lane , Gregory M. Nielson , Ramamani Ramaraj, Scientific Visualization, IEEE Computer Graphics and Applications, v.10 n.1, p.32-40, January 1990
	Robert J. Renka, Algorithm 772: STRIPACK: Delaunay triangulation and Voronoi diagram on the surface of a sphere, ACM Transactions on Mathematical Software (TOMS), v.23 n.3, p.416-434, Sept. 1997
	N. A. Teanby, An icosahedron-based method for even binning of globally distributed remote sensing data, Computers & Geosciences, v.32 n.9, p.1442-1450, November, 2006
	Maria Francesca Carfora, Interpolation on spherical geodesic grids: A comparative study, Journal of Computational and Applied Mathematics, v.210 n.1-2, p.99-105, December, 2007

INDEX TERMS

Classification:
G. Mathematics of Computing
G.1 NUMERICAL ANALYSIS

General Terms:
Algorithms

REVIEW

"Gerald Wayne Kimble : Reviewer"

Some knowledge of the recent history of multivariate interpolation helps in appreciating the problem of constructing C1 interpolants of data values that are associated with arbitrarily distributed nodes on the surface of a sphere. R more...

Collaborative Colleagues:

Robert J. Renka: colleagues

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