Title
Polyrigid and Polyaffine Transformations: A New Class of Diffeomorphisms for Locally Rigid or Affine Registration
Abstract
We introduce a novel family of geometrical transformations for the non-rigid registration of medical images, called polyrigid and polyaffine. These transformations have nice mathematical properties, including differentiability and invertibility (i.e diffeomorphism). They are parameterized by a small number of intuitive parameters which allow to recover locally rigid and locally affine deformations often encountered in medical imagery. These transformations are a nice alternative to classical B-Spline transformations (which do not guaranty invertibility). Preliminary experiments on synthetic and real images already illustrate the potentialities and good properties of this approach.
Year
DOI
Venue
2003
10.1007/978-3-540-39903-2_101
Lecture Notes in Computer Science
Field
DocType
Volume
Affine transformation,Computer vision,Parameterized complexity,Computer science,Differentiable function,Artificial intelligence,Real image,Mathematical properties,Diffeomorphism
Conference
2879
ISSN
Citations 
PageRank 
0302-9743
13
1.12
References 
Authors
12
3
Name
Order
Citations
PageRank
Vincent Arsigny173350.69
Xavier Pennec25021357.08
Nicholas Ayache3108041654.36