Accession Number : ADA298091
Title : Fitting Data Using Piecewise G1 Cubic Bezier Curves.
Descriptive Note : Master's thesis,
Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA
Personal Author(s) : Lane, Edward J.
PDF Url : ADA298091
Report Date : MAR 1995
Pagination or Media Count : 87
Abstract : A method is described for least squares filling an ordered set of data in the plane with a free-form curve with no specific function or parameterization given for the data. The method is shown to be effective and uses some techniques from the field of Computer Aided Geometric Design (CAGD). We construct a piecewise G cubic Bezier curve from cubic curve segments which have as their initial end points, or knot points, some of the data points. The parameters for the curve are: the knot points, the angles of the tangent vectors at the knot points, and the distances from each knot point to the adjacent control points. The algorithm is developed and three solution curves are presented: Globally Optimized Only (GOO), Segmentally Optimized Only (SOO), and Segmentally then Globally Optimized (SGO). (AN)
Descriptors : *LEAST SQUARES METHOD, *CUBIC SPLINE TECHNIQUE, *CURVE FITTING, ALGORITHMS, OPTIMIZATION, PARAMETRIC ANALYSIS, COMPUTER AIDED DESIGN, MAXIMUM LIKELIHOOD ESTIMATION, THESES, MATHEMATICAL PROGRAMMING, APPROXIMATION(MATHEMATICS), POLYNOMIALS, INTERPOLATION, CONVERGENCE, VECTOR SPACES, POLYGONS, POINTS(MATHEMATICS).
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE