Title
Non-rigid isometric ICP: A practical registration method for the analysis and compensation of form errors in production engineering
Abstract
The unprecedented success of the iterative closest point (ICP) method for registration in geometry processing and related fields can be attributed to its efficiency, robustness, and wide spectrum of applications. Its use is however quite limited as soon as the objects to be registered arise from each other by a transformation significantly different from a Euclidean motion. We present a novel variant of ICP, tailored for the specific needs of production engineering, which registers a triangle mesh with a second surface model of arbitrary digital representation. Our method inherits most of ICP's practical advantages but is capable of detecting medium-strength bendings i.e. isometric deformations. Initially, the algorithm assigns to all vertices in the source their closest point on the target mesh and then iteratively establishes isometry, a process which, very similar to ICP, requires intermediate re-projections. A NURBS-based technique for applying the resulting deformation to arbitrary instances of the source geometry, other than the very mesh used for correspondence estimation, is described before we present numerical results on synthetic and real data to underline the viability of our approach in comparison with others.
Year
DOI
Venue
2011
10.1016/j.cad.2011.07.007
Computer-Aided Design
Keywords
Field
DocType
arbitrary instance,non-rigid isometric icp,triangle mesh,arbitrary digital representation,production engineering,form error,practical registration method,target mesh,closest point,euclidean motion,source geometry,geometry processing,iterative closest point,nurbs-based technique,correspondence,isometric
Mathematical optimization,Vertex (geometry),Geometry processing,Free-form deformation,Robustness (computer science),Euclidean geometry,Mathematics,Triangle mesh,Iterative closest point,Production engineering
Journal
Volume
Issue
ISSN
43
12
0010-4485
Citations 
PageRank 
References 
4
0.42
30
Authors
4
Name
Order
Citations
PageRank
A. Sacharow1172.34
J. Balzer240.42
Dirk Biermann38823.28
T. Surmann460.78