Least-Squares Fitting of Data with B-Spline Surfaces

Fitting Scattered Data on Sphere-like Surfaces Using Spherical Splines

Spaces of polynomial splines deened on planar triangulations are very useful tools for tting scattered data in the plane. Recently, 4, 5], using homogeneous polynomials, we have developed analogous spline spaces deened on triangulations on the sphere and on sphere-like surfaces. Using these spaces, it is possible to construct analogs of many of the classical interpolation and tting methods. Her...

LP fitting approach for reconstructing parametric surfaces from points clouds

We present a method to reconstruct a surface from a group of points, each provided with two parameters. The kind of reconstructed surface can be a Bezier surface, a B-spline surface or any surface generated by a basis of functions. The usual method involved in such a reconstruction is the least squares approach. Our original fitting method called LP-fitting uses a linear program for minimizing ...

Surface Fitting with NURBS - a Gauss Newton with Trust Region Approach

This paper shows a new approach for non-linear least squares fitting with NURBS as curves and surfaces to measured data by the Gauss-Newton method. A Trust Region algorithm is used to reach global convergence as well as variable substitution and simple bounds. Key–Words: Non-linear least squares, NURBS, curve and surface fitting, reverse engineering, optimisation, GaussNewton

Least-Squares Fitting of Data with B-Spline Curves

Fitting Scattered Data on Sphere - LikeSurfaces using Spherical

Spaces of polynomial splines deened on planar triangulations are very useful tools for tting scattered data in the plane. Recently, 4, 5], using homogeneous polynomials, we have developed analogous spline spaces deened on triangulations on the sphere and on sphere-like surfaces. Using these spaces, it is possible to construct analogs of many of the classical interpolation and tting methods. Her...