Three-Dimensional Shape Analysis Using Moments and Fourier Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating the finite displacement using moments
Pattern Recognition Letters
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
Estimation of motion parameters from blurred images
Pattern Recognition Letters
Recognizing Planar Objects Using Invariant Image Features
Recognizing Planar Objects Using Invariant Image Features
Isoperimetric Normalization of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Fitting of Planar Objects by Primitives
IEEE Transactions on Pattern Analysis and Machine Intelligence
Affine-Invariant Curve Normalization for Shape-Based Retrieval
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 1
Image recognition by affine Tchebichef moment invariants
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part III
Affine normalization of symmetric objects
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
Full 4-D quaternion discrete Fourier transform based watermarking for color images
Digital Signal Processing
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The key issue in normalization with respect to geometric transformation is how to obtain a consistent canonical form which remains unchanged for different geometric transformation related images. Due to ambiguities inherent in the specified normalization methods, more than one canonical form may occur during the normalization procedure. This causes difficulties in obtaining the expected invariant features or the transformation parameters through normalization. This paper aims to provide general schemes to analyze the ambiguity characteristics and to derive the ambiguity matrices through which ambiguities can be eliminated. Three kinds of ambiguities caused by the multi-roots of high-order polynomials, the symmetrical normalization constraints, and the reflection are addressed and solutions are provided to obtain a consistent canonical form for each kind of ambiguities.