Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiresolution elastic matching
Computer Vision, Graphics, and Image Processing
On active contour models and balloons
CVGIP: Image Understanding
Automated detection of breast tumors using the asymmetry approach
Computers and Biomedical Research
A nonlinear variational problem for image matching
SIAM Journal on Scientific Computing
Spatial transformation and registration of brain images using elastically deformable models
Computer Vision and Image Understanding
Image unwarping and difference analysis: a technique for detecting abnormalities in mammograms
Image unwarping and difference analysis: a technique for detecting abnormalities in mammograms
Computational anatomy: an emerging discipline
Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Image Registration, Optical Flow and Local Rigidity
Journal of Mathematical Imaging and Vision
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Registration Assisted Image Smoothing and Segmentation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part IV
A Representation for Mammographic Image Processing
CVRMed '95 Proceedings of the First International Conference on Computer Vision, Virtual Reality and Robotics in Medicine
A New Image Registration Technique with Free Boundary Constraints: Application to Mammography
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part IV
An Approach to Using a Generalized Breast Model to Segment Digital Mammograms
CBMS '98 Proceedings of the Eleventh IEEE Symposium on Computer-Based Medical Systems
Correspondence between Different View Breast X-Rays Using a Simulation of Breast Deformation
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
A Variational Framework for Joint Segmentation and Registration
MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
Optimal registration of deformed images
Optimal registration of deformed images
Deformable templates using large deformation kinematics
IEEE Transactions on Image Processing
Establishing the correspondence between control points in pairs of mammographic images
IEEE Transactions on Image Processing
2D image registration using focused mutual information for application in dentistry
Computers in Biology and Medicine
A parallel multigrid Poisson solver for fluids simulation on large grids
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A probabilistic approach for the simultaneous mammogram registration and abnormality detection
IWDM'06 Proceedings of the 8th international conference on Digital Mammography
Registration of mammograms and breast tomosynthesis images
IWDM'06 Proceedings of the 8th international conference on Digital Mammography
Improved detection of cancer in screening mammograms by temporal comparison
IWDM'10 Proceedings of the 10th international conference on Digital Mammography
Geodesic shooting and diffeomorphic matching via textured meshes
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
2D-to-3D x-ray breast image registration
WBIR'06 Proceedings of the Third international conference on Biomedical Image Registration
Combining registration and abnormality detection in mammography
WBIR'06 Proceedings of the Third international conference on Biomedical Image Registration
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In this paper, a new image-matching mathematical model is presented with its application to mammogram registration. In a variatianal framework, an energy minimization problem is formulated and a multigrid resolution algorithm is designed. The model focuses on the matching of regions of interest. It also combines several constraints which are both intensity- and segmentation-based. A new feature of our model is combining region matching and segmentation by formulation of the energy minimization problem with free boundary conditions. Moreover, the energy has a new registration constraint. The performances of the new model and an equivalent model with fixed boundary conditions are compared on simulated mammogram pairs. It is shown that the model with free boundary is more robust to initialization inaccuracies than the one with fixed boundary conditions. Both models are applied to several real bilateral mammogram pairs. The model ability to compensate significantly for some normal differences between mammograms is illustrated. Results suggest that the new model could enable some improvements of mammogram comparisons and tumor detection system performances.