A new class of similarity measures for robust image registration
Computer Vision, Graphics, and Image Processing
On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
A survey of image registration techniques
ACM Computing Surveys (CSUR)
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Symmetry detection using gradient information
Pattern Recognition Letters
Journal of Mathematical Imaging and Vision - Special issue on mathematical imaging
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fuzzy Relative Position Between Objects in Image Processing: A Morphological Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry Measure Computation for Convex Polyhedra
Journal of Mathematical Imaging and Vision
Symmetry Identification of a 3-D Object Represented by Octree
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Extensible MRI Simulator for Post-Processing Evaluation
VBC '96 Proceedings of the 4th International Conference on Visualization in Biomedical Computing
Reverse engineering of a symmetric object
Computers and Industrial Engineering
Feature-based reverse modeling strategies
Computer-Aided Design
Testing for image symmetries: with application to confocal microscopy
IEEE Transactions on Information Theory
Combined MR brain segmentation
Annales UMCS, Informatica
Combined MR brain segmentation
Annales UMCS, Informatica
A novel algorithm for an image processing system in entomology
Proceedings of the Fifth Balkan Conference in Informatics
Automatic extraction of the curved midsagittal brain surface on MR images
MCV'12 Proceedings of the Second international conference on Medical Computer Vision: recognition techniques and applications in medical imaging
Robust mid-sagittal plane extraction in 3-d ultrasound fetal volume for first trimester screening
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part II
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Although the brain is not perfectly symmetrical with respect to the mid-sagittal plane, the automatic detection of this plane and of the degree of symmetry is of interest for many anatomical and functional studies. We propose a method for detecting the best symmetry plane in 3D MR brain images. We express this problem as a registration problem and compute a degree of similarity between the image and its reflection with respect to a plane. The best plane is then obtained by maximizing the similarity measure. This optimization is performed using the downhill simplex method and is initialized by a plane obtained from principal inertia axes, which proves to be close to the global optimum. This is demonstrated on several MR brain images. The proposed algorithm is then successfully tested on simulated and real 3D MR brain images. We also investigated the influence of the optimization procedure control parameters on the computation speed and result precision. Preliminary results obtained on CT and SPECT images suggest that the method can be extended to other modalities.