Polyaffine transformation model using region trajectory

We propose a novel way to construct a diffeomorphic polyaffine transformation model. Each affine transform is defined on a local region and the resulting diffeomorphism encapsulates all the local transforms by a smooth and invertible displacement field. Compared with traditional weighting schemes used in combining local transforms, our new scheme guarantees that the resulting transform precisely preserves the value of each local affine transform. By introducing the trajectory of local regions instead of using regions themselves, the new approach encodes precisely each local affine transform using a diffeomorphism with one or more stationary velocity fields.

polyaffine

  • G. Song, Y. Liu, B. Wu, B. B. Avants, and J. C. Gee, “Using region trajectories to construct an accurate and efficient polyaffine transform model,” in Information Processing in Medical Imaging, 2013, pp. 668-679.
    [Bibtex]
    @INPROCEEDINGS{Song2013IPMI,
    author = {Song, Gang and Liu, Yang and Wu, Baohua and Avants, Brian B. and
    Gee, James C.},
    title = {{U}sing region trajectories to construct an accurate and efficient
    polyaffine transform model},
    booktitle = {{I}nformation {P}rocessing in {M}edical {I}maging},
    year = {2013},
    pages = {668-679},
    url = {http://dx.doi.org/10.1007/978-3-642-38868-2_56}
    }