| Application of least squares B-spline method in surface fitting problem |
| Paper ID : 1235-SMPR |
| Authors: |
|
fateme esmaeili *1, AliReza Amiri-Simkooei2, Vahab Nafisi2, Amin Alizadeh Naeini2 1Department of geometrics engineering, faculty of civil engineering and transportation university of Isfahan 2Department of Geomatics Engineering, Faculty of Civil Engineering and Transportation, University of Isfahan |
| Abstract: |
| Fitting a smooth surface on irregular data is a problem in many applications of data analysis. Spline polynomials in different orders have been used for interpolation and approximation in one or two-dimensional space in many researches. The advantage of using B-spline basis functions for obtaining spline polynomials is that they impose the continuity constraints in an implicit form and, more importantly, their calculation is much simpler. In this study we explain the theory of the least squares B-spline method in surface approximation, The method can be extended to more dimensions and has already been used on problems in four independent variables. We will explain how to form observation equations in two independent variables and then find the least squares solution of these equations, then we present numerical examples to show the efficiency of the method in linear, quadratic and cubic forms. Lastly we discuss about the method’s accuracy and reliability. |
| Keywords: |
| Least-squares approximation, B-spline functions, surface fitting, splines’ basis functions, 2D data analysis |
| Status : Conditional Accept (Poster) |
