A survey of image registration techniques
ACM Computing Surveys (CSUR)
Homotopies exploiting Newton polytopes for solving sparse polynomial systems
SIAM Journal on Numerical Analysis
Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation
ACM Transactions on Mathematical Software (TOMS)
Alignment Using Distributions of Local Geometric Properties
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multigrid Convergence of Calculated Features in Image Analysis
Journal of Mathematical Imaging and Vision
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
CBAIVL '00 Proceedings of the IEEE Workshop on Content-based Access of Image and Video Libraries (CBAIVL'00)
A Two-Stage Algorithm for Model-Based Registration of Medical Images
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 1 - Volume 1
Affine Parameter Estimation from the Trace Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Integral Invariants for Shape Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized affine moment invariants for object recogn
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 02
A Statistics-Based Approach to Binary Image Registration with Uncertainty Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
A review of recent range image registration methods with accuracy evaluation
Image and Vision Computing
A New Affine Registration Algorithm for Matching 2D Point Sets
WACV '07 Proceedings of the Eighth IEEE Workshop on Applications of Computer Vision
Logarithmic model-based dynamic range enhancement of hip X-ray images
ACIVS'07 Proceedings of the 9th international conference on Advanced concepts for intelligent vision systems
Affine normalization of symmetric objects
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
A new method for affine registration of images and point sets
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
Distance-Intensity for image registration
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
Topology preserving deformable image matching using constrained hierarchical parametric models
IEEE Transactions on Image Processing
Identification of Reflected, Scaled, Translated, and Rotated Objects From Their Radon Projections
IEEE Transactions on Image Processing
A subspace approach for matching 2D shapes under affine distortions
Pattern Recognition
Affine puzzle: realigning deformed object fragments without correspondences
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Applying distribution of feature points to detect multiple plane
International Journal of Grid and Utility Computing
A unifying framework for correspondence-less linear shape alignment
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part I
Recovering projective transformations between binary shapes
ACIVS'12 Proceedings of the 14th international conference on Advanced Concepts for Intelligent Vision Systems
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We consider the estimation of affine transformations aligning a known 2D shape and its distorted observation. The classical way to solve this registration problem is to find correspondences between the shapes and then compute the transformation parameters from these landmarks. Here we propose a novel approach where the exact transformation is obtained as the solution of a polynomial system of equations. The method has been tested on synthetic as well as on real images and its robustness in the presence of segmentation errors and additive geometric noise has also been demonstrated. We have successfully applied the method for the registration of hip prosthesis X-ray images. The advantage of the proposed solution is that it is fast, easy to implement, has linear time complexity, works without established correspondences and provides an exact solution regardless of the magnitude of transformation.