Newton methods for parametric surface registration. Part II. Experimental validation

The first part of this paper introduced a new freeform surface registration algorithm whereby sets of points measured from a physical surface are aligned to the computer-aided design model of the surface. The algorithm is based on traditional Newton minimization techniques with the benefit of analytic formulas for derivatives. In the past, these techniques have been abandoned due to the inability to efficiently compute derivative information of the registration objective function. The result is a new method for parametric surface registration. In the second part, more specific implementation details are given such as the various types of Newton methods employed. In addition, experimental results are provided that compare these new methods to existing registration techniques such as ICP [I II Trans Pattern Anal Mach Intell 14 (1992) 239]. The results reveal the advantages and disadvantages characteristic of these new techniques.