Extension of the ICP Algorithm to Non-Rigid Intensity-Based Registration of 3D Volumes

  • Authors:
  • J. Feldmar;G. Malandain;J. Declerck;N. Ayache

  • Affiliations:
  • -;-;-;-

  • Venue:
  • MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
  • Year:
  • 1996

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Abstract

We present in this paper a new registration and gain correction algorithm for 3D medical images. It is intensity based. The basic idea is to represent the images 4D points (Xj, Yj, Zj, Ij) and to define a global energy function based on this representation. For minimization, we propose a technique which does not require to compute the derivatives of this criterion with respect to the parameters. It can be understood as an extension of the Iterative Closest Point algorithm, or as an application of the formalism proposed in [9]. Two parameters allow us to have a coarse to fine strategy both for resolution and deformation. Our technique presents the advantage to minimize a well defined global criterion, to deal with various classes of transformations (for example rigid, affine and volume spline), to be simple to implement and to be efficient in practice. Results on real brain and heart 3D images are presented to demonstrate the validity of our approach.