Smooth interpolation of large sets of scattered data
By: Richard Franke, Gregory Nielson
Contributors: Nielson, Gregory; Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1979
Place of publication: Monterey, CA
Language: eng
Number of pages: 28
Subjects: Mathematical models; Algebraic Surfaces; Approximation theory; Interpolation
Description: Methods for solving the following data fitting problems are discussed: Given the data (xi,yi,fi), i = 1,...,N construct a smooth bivariate function S with the property that S(xi,yi) = fi, i = 1,...,N. Because the desire to fit this type of data is encountered frequently in many areas of scientific applications, an investigation of the available methods for solving this problem was undertaken. Several aspects, such as computational efficiency, fitting characteristics and ease of implementation, were analyzed and compared. Within the context of a general purpose method for large sets of data, two of these methods emerged as being generally superior to the others. It is the purpose of this paper to describe these two methods and present examples illustrating their use and application. FORTRAN programs which implement these methods are available upon request. (Author)
Notes: Title from cover.

"Prepared for: Chief of Naval Research; Arlington, VA 22217." -- Cover.

"Technical report for period Jan 79 - Mar 79."

"NPS-53-79-005."

Includes bibliographic references (p. 28).

"Approved for public release; distribution is unlimited."

Technical report; January 1979 to March 1979.