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Optimal Step Nonrigid ICP Algorithms for Surface Registration

Amberg, Brian, Romdhani, Sami, Vetter, Thomas·2007·2007 IEEE Conference on Computer Vision and Pattern Recognition

Abstract

We show how to extend the ICP framework to nonrigid registration, while retaining the convergence properties of the original algorithm. The resulting optimal step nonrigid ICP framework allows the use of different regularisations, as long as they have an adjustable stiffness parameter. The registration loops over a series of decreasing stiffness weights, and incrementally deforms the template towards the target, recovering the whole range of global and local deformations. To find the optimal deformation for a given stiffness, optimal iterative closest point steps are used. Preliminary correspondences are estimated by a nearest-point search. Then the optimal deformation of the template for these fixed correspondences and the active stiffness is calculated. Afterwards the process continues with new correspondences found by searching from the displaced template vertices. We present an algorithm using a locally affine regularisation which assigns an affine transformation to each vertex and minimises the difference in the transformation of neighbouring vertices. It is shown that for this regularisation the optimal deformation for fixed correspondences and fixed stiffness can be determined exactly and efficiently. The method succeeds for a wide range of initial conditions, and handles missing data robustly. It is compared qualitatively and quantitatively to other algorithms using synthetic examples and real world data.

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Metadata

Authors
Amberg, B., Romdhani, S., & Vetter, T.
Venue
2007 IEEE Conference on Computer Vision and Pattern Recognition
Publisher
IEEE
Published
2007-06
Pages
1-8
ISSN
1063-6919 (ISSN-L)
OpenAlex
W2168722300
Cited by
746
References
15
FWCI
34.78
Type
conference paper
Language
en
Open access
closed

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CoChat. (2026). Citation check: Optimal Step Nonrigid ICP Algorithms for Surface Registration. https://app.cochat.ai/papers/10.1109/cvpr.2007.383165
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Amberg, B., Romdhani, S., & Vetter, T. (2007). Optimal Step Nonrigid ICP Algorithms for Surface Registration. 2007 IEEE Conference on Computer Vision and Pattern Recognition. https://doi.org/10.1109/cvpr.2007.383165

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