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