Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Numerical Recipes in C++: the art of scientific computing
Numerical Recipes in C++: the art of scientific computing
Non-rigid Registration by Geometry-Constrained Diffusion
MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
Skeleton Based Shape Matching and Retrieval
SMI '03 Proceedings of the Shape Modeling International 2003
3D Object Retrieval using Many-to-many Matching of Curve Skeletons
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
Robust on-line computation of Reeb graphs: simplicity and speed
ACM SIGGRAPH 2007 papers
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Generalized surface flows for mesh processing
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Analysis of Two-Dimensional Non-Rigid Shapes
International Journal of Computer Vision
Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves
ACM Transactions on Mathematical Software (TOMS)
A Minimal Contouring Approach to the Computation of the Reeb Graph
IEEE Transactions on Visualization and Computer Graphics
Gradient domain mesh deformation: a survey
Journal of Computer Science and Technology
An extension of the ICP algorithm for modeling nonrigid objects with mobile robots
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
Global correspondence optimization for non-rigid registration of depth scans
SGP '08 Proceedings of the Symposium on Geometry Processing
Deformation-driven shape correspondence
SGP '08 Proceedings of the Symposium on Geometry Processing
Non-rigid registration under isometric deformations
SGP '08 Proceedings of the Symposium on Geometry Processing
A local/global approach to mesh parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
A simple geometric model for elastic deformations
ACM SIGGRAPH 2010 papers
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative, simulation-based shape modification by free-form deformation of the NC programs
Advances in Engineering Software
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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.