Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
Deformations incorporating rigid structures
Computer Vision and Image Understanding
Approximating the Logarithm of a Matrix to Specified Accuracy
SIAM Journal on Matrix Analysis and Applications
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
The Scaling and Squaring Method for the Matrix Exponential Revisited
SIAM Journal on Matrix Analysis and Applications
A Riemannian Framework for Tensor Computing
International Journal of Computer Vision
Articulated rigid registration for serial lower-limb mouse imaging
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Diffeomorphic nonlinear transformations: a local parametric approach for image registration
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
A novel parametric method for non-rigid image registration
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
White matter bundle registration and population analysis based on Gaussian processes
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
Spatially adaptive log-euclidean polyaffine registration based on sparse matches
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Geometry-aware multiscale image registration via OBBTree-based polyaffine log-demons
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Image Morphing in Frequency Domain
Journal of Mathematical Imaging and Vision
Abdominal images non-rigid registration using local-affine diffeomorphic demons
MICCAI'11 Proceedings of the Third international conference on Abdominal Imaging: computational and Clinical Applications
Automated skeleton based multi-modal deformable registration of head&neck datasets
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Simultaneous multiscale polyaffine registration by incorporating deformation statistics
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Synthesis of realistic subcortical anatomy with known surface deformations
MeshMed'12 Proceedings of the 2012 international conference on Mesh Processing in Medical Image Analysis
A near-incompressible poly-affine motion model for cardiac function analysis
STACOM'12 Proceedings of the third international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
Using region trajectories to construct an accurate and efficient polyaffine transform model
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
Regional analysis of left ventricle function using a cardiac-specific polyaffine motion model
FIMH'13 Proceedings of the 7th international conference on Functional Imaging and Modeling of the Heart
| Hi-index | 0.01 |
In this article, we focus on the parameterization of non-rigid geometrical deformations with a small number of flexible degrees of freedom. In previous work, we proposed a general framework called polyaffine to parameterize deformations with a finite number of rigid or affine components, while guaranteeing the invertibility of global deformations. However, this framework lacks some important properties: the inverse of a polyaffine transformation is not polyaffine in general, and the polyaffine fusion of affine components is not invariant with respect to a change of coordinate system. We present here a novel general framework, called Log-Euclidean polyaffine, which overcomes these defects.We also detail a simple algorithm, the Fast Polyaffine Transform, which allows to compute very efficiently Log-Euclidean polyaffine transformations and their inverses on regular grids. The results presented here on real 3D locally affine registration suggest that our novel framework provides a general and efficient way of fusing local rigid or affine deformations into a global invertible transformation without introducing artifacts, independently of the way local deformations are first estimated.