Geometric Fitting of Parametric Curves and Surfaces

: This paper deals with the geometric fitting algorithms for parametric curves and surfaces in 2-D/3-D space, which estimate the curve/surface parameters by minimizing the square sum of the shortest distances between the curve/surface and the given points. We identify three algorithmic approaches for solving the nonlinear problem of geometric fitting. As their general implementation we describe a new algorithm for geometric fitting of parametric curves and surfaces. The curve/surface parameters are estimated in terms of form, position, and rotation parameters. We test and evaluate the performances of the algorithms with fitting examples.

• Type: Journal
• Year: 2008
• Where: JIPS
• Authors: Sung Joon Ahn
• Keywords: Geometric Fitting, Geometric Fitting Algorithms, JIPS 2008, Parameters