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
Contour tracing by piecewise linear approximations
ACM Transactions on Graphics (TOG)
Characterization of Signals from Multiscale Edges
IEEE Transactions on Pattern Analysis and Machine Intelligence
Some Defects in Finite-Difference Edge Finders
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
Pictorial Recognition of Objects Employing Affine Invariance in the Frequency Domain
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric and Illumination Invariants for Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Dyadic Wavelet Affine Invariant Function for 2D Shape Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence - Graph Algorithms and Computer Vision
Affine invariants for object recognition using the wavelet transform
Pattern Recognition Letters
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
Object Contour Extraction Using Adaptive B-Snake Model
Journal of Mathematical Imaging and Vision
Synthesized affine invariant function for 2D shape recognition
Pattern Recognition
Pattern recognition with SVM and dual-tree complex wavelets
Image and Vision Computing
Polygonal shape description for recognition of partially occluded objects
Pattern Recognition Letters
On the Topology and Geometry of Spaces of Affine Shapes
Journal of Mathematical Imaging and Vision
Dynamic B-snake model for complex objects segmentation
Image and Vision Computing
Robust affine invariant shape image retrieval using the ICA Zernike moment shape descriptor
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
A new adaptive B-spline VFC snake for object contour extraction
ICCCI'10 Proceedings of the Second international conference on Computational collective intelligence: technologies and applications - Volume Part III
2D shape recognition using discrete wavelet descriptor under similitude transform
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Undoing the affine transformation using blind source separation
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
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A technique is developed to construct a representation of planar objects undergoing a general affine transformation. The representation can be used to describe planar or nearly planar objects in a three-dimensional space, observed by a camera under arbitrary orientations. The technique is based upon object contours, parameterized by an affine invariant parameter and the dyadic wavelet transform. The role of the wavelet transform is the extraction of multiresolution affine invariant features from the affine invariant contour representation. A dissimilarity function is also developed and used to distinguish among different object representations. This function makes use of the extrema on the representations, thus making its computation very efficient. A study of the effect of using different wavelet functions and their order or vanishing moments is also carried out. Experimental results show that the performance of the proposed representation is better than that of other existing methods, particularly when objects are heavily corrupted with noise.