A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Application of Affine-Invariant Fourier Descriptors to Recognition of 3-D Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
The revised Fundamental Theorem of Moment Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Descriptors for 3D Object Recognition and Pose
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
Characterization of Signals from Multiscale Edges
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariants of a pair of conics revisited
Image and Vision Computing - Special issue: BMVC 1991
Geometric invariance in computer vision
Geometric invariance in computer vision
The projection of two non-coplanar conics
Geometric invariance in computer vision
Geometric invariants and object recognition
International Journal of Computer Vision
Wavelet-Based Affine Invariant Representation: A Tool for Recognizing Planar Objects in 3D Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition of 2D Object Contours Using the Wavelet Transform Zero-Crossing Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric and Illumination Invariants for Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant 2D object recognition using the wavelet modulus maxima
Pattern Recognition Letters
Recognizing Planar Objects Using Invariant Image Features
Recognizing Planar Objects Using Invariant Image Features
Affine Invariant Multiscale Wavelet-Based Shape Matching Algorithm
CRV '04 Proceedings of the 1st Canadian Conference on Computer and Robot Vision
Affine Invariant Pattern Recognition Using Multiscale Autoconvolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Wavelet Approximation-Based Affine Invariant Shape Representation Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Synthesized affine invariant function for 2D shape recognition
Pattern Recognition
Recognition of partially occluded and deformed binary objects
Pattern Recognition Letters
A subspace approach for matching 2D shapes under affine distortions
Pattern Recognition
Shape recognition via an a contrario model for size functions
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part II
Undoing the affine transformation using blind source separation
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Efficient multiscale shape-based representation and retrieval
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
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Dyadic wavelet transform has been used to derive an affine invariant function. First, an invariant function using two dyadic levels is derived. Then, this invariant function is used to derive another invariant function using six dyadic levels. We introduced the wavelet-based conic equation. The invariant function is based on analyzing the object boundary using the dyadic wavelet transform. Experimental results on both synthetic and real data are used to demonstrate the discriminating power of the proposed invariant function. It has also been compared with some traditional methods. The stability of the proposed invariant function is examined. In addition, the stability under large perspective transformation is tested.