The revised Fundamental Theorem of Moment Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Method of Normalization to Determine Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized Affine Invariant Image Normalization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognizing Planar Objects Using Invariant Image Features
Recognizing Planar Objects Using Invariant Image Features
On the choice of consistent canonical form during moment normalization
Pattern Recognition Letters
Graph Method for Generating Affine Moment Invariants
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 2 - Volume 02
Image Normalization by Complex Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Extension of Moment Features' Invariance to Blur
Journal of Mathematical Imaging and Vision
Parametric estimation of affine deformations of planar shapes
Pattern Recognition
Affine alignment of compound objects: a direct approach
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Recovering projective transformations between binary shapes
ACIVS'12 Proceedings of the 14th international conference on Advanced Concepts for Intelligent Vision Systems
Efficient detection of symmetries of polynomially parametrized curves
Journal of Computational and Applied Mathematics
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A new method of normalization is used for the construction of the affine moment invariants. The affine transform is decomposed into translation, scaling, stretching, two rotations and mirror reflection. The object is successively normalized to these elementary transforms by means of low order moments. After normalization, other moments of normalized object can be used as affine invariant features of the original object. We pay special attention to the normalization of symmetric objects.