Simultaneous Multiscale Polyaffine Registration by Incorporating Deformation Statistics

Seiler, Christof; Pennec, Xavier; Reyes, Mauricio (2012). Simultaneous Multiscale Polyaffine Registration by Incorporating Deformation Statistics. In: Ayache, Nicholas; Delingette, Hervé; Golland, Polina (eds.) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012. Lecture Notes in Computer Science: Vol. 15 (pp. 130-137). Berlin Heidelberg: Springer 10.1007/978-3-642-33418-4_17

[img] Text
11484.pdf - Published Version
Restricted to registered users only
Available under License Publisher holds Copyright.

Download (408kB) | Request a copy

Locally affine (polyaffine) image registration methods capture intersubject non-linear deformations with a low number of parameters, while providing an intuitive interpretation for clinicians. Considering the mandible bone, anatomical shape differences can be found at different scales, e.g. left or right side, teeth, etc. Classically, sequential coarse to fine registration are used to handle multiscale deformations, instead we propose a simultaneous optimization of all scales. To avoid local minima we incorporate a prior on the polyaffine transformations. This kind of groupwise registration approach is natural in a polyaffine context, if we assume one configuration of regions that describes an entire group of images, with varying transformations for each region. In this paper, we reformulate polyaffine deformations in a generative statistical model, which enables us to incorporate deformation statistics as a prior in a Bayesian setting. We find optimal transformations by optimizing the maximum a posteriori probability. We assume that the polyaffine transformations follow a normal distribution with mean and concentration matrix. Parameters of the prior are estimated from an initial coarse to fine registration. Knowing the region structure, we develop a blockwise pseudoinverse to obtain the concentration matrix. To our knowledge, we are the first to introduce simultaneous multiscale optimization through groupwise polyaffine registration. We show results on 42 mandible CT images.

Item Type:

Conference or Workshop Item (Paper)


04 Faculty of Medicine > Pre-clinic Human Medicine > Institute for Surgical Technology & Biomechanics ISTB [discontinued]

UniBE Contributor:

Seiler, Christof and Reyes, Mauricio


500 Science > 570 Life sciences; biology
600 Technology > 610 Medicine & health






Lecture Notes in Computer Science






Mauricio Antonio Reyes Aguirre

Date Deposited:

04 Oct 2013 14:30

Last Modified:

05 Dec 2022 14:09

Publisher DOI:


PubMed ID:




URI: (FactScience: 217677)

Actions (login required)

Edit item Edit item
Provide Feedback