||Huangb, X., Gub, P. and Zernickea, R.
||Localization and comparison of two free-form surfaces
||Computer-Aided Design, Vol. 28 (12) (1996) pp. 1017-1022
||Comparison of two free-form surfaces based on discrete data points is of paramount importance for reverse engineering. It can be used to assess the accuracy of the reconstructed surfaces and to quantify thedifference between two such surfaces. The entire process involves three main steps: data acquisition, 3D feature localization and quantitative comparison. This paper presents models and algorithms for 3D featurelocalization and quantitative comparison. Complex free-form surfaces are represented by bicubic parametric spline surfaces using discrete points. A simple yet effective pseudoinverse algorithm was developed andimplemented for localization. It consists of two iterative operations, namely, constructing a pseudo transformation matrix and point matching. A computing algorithm was developed to compare two such surfacesusing optimization techniques. Since this approach does not involve solving non-linear equations for the parameters of positions and orientations, it is fast and robust. The algorithm was implemented and testedwith several examples. It is effective and can be used in industry for sculptured surface comparison.
||Free-Form Sculptured Surface, Localization, Point Matching, Surface Comparison