Accession Number : AD0674867

Title :   LEAST-SQUARES SURFACE FITTING WITH DISCONTINUOUS FUNCTIONS.

Descriptive Note : Technical rept.,

Corporate Author : NORTHWESTERN UNIV EVANSTON ILL DEPT OF GEOLOGY

Personal Author(s) : James,William R.

Report Date : AUG 1968

Pagination or Media Count : 56

Abstract : Surfaces with abrupt discontinuities can be described by using discontinuous two dimensional polynomials. Simultaneous least squares solutions can be found which estimate parameters that describe both the discontinuity and the polynomial coefficients. Two models for the common geological example of a faulted structural terrain are treated in detail. In the first the fault plane is vertical, with vertical displacement only. In the second model, both vertical and lateral translation are provided for. The first model is applied to the structural surface of the Dundee Limestone (Devonian) in Central Michigan. Other models for discontinuous surface fitting and other cases in the earth sciences where such models might be useful are briefly mentioned. A computer program for finding the least squares estimates of the fault parameters and the polynomial coefficients is included in an Appendix to this report. (Author)

Descriptors :   (*MAPPING, MATHEMATICAL MODELS), (*STRUCTURAL GEOLOGY, MATHEMATICAL MODELS), MICHIGAN, GREAT LAKES, SURFACES, CURVE FITTING, LEAST SQUARES METHOD, REGRESSION ANALYSIS, FAULTS(GEOLOGY), FOLDS(GEOLOGY), COMPUTER PROGRAMS, THESES

Subject Categories : Cartography and Aerial Photography
      Geology, Geochemistry and Mineralogy

Distribution Statement : APPROVED FOR PUBLIC RELEASE