Application of Affine-Invariant Fourier Descriptors to Recognition of 3-D Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Hypercomplex spectral transformations
Hypercomplex spectral transformations
ACM Computing Surveys (CSUR)
Computer Vision and Image Understanding
Object Recognition from Local Scale-Invariant Features
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
A Performance Evaluation of Local Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Face Description with Local Binary Patterns: Application to Face Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized Fourier Descriptors with Applications to Objects Recognition in SVM Context
Journal of Mathematical Imaging and Vision
Faster and Better: A Machine Learning Approach to Corner Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Moments and Moment Invariants in Pattern Recognition
Moments and Moment Invariants in Pattern Recognition
Quaternion Fourier-Mellin moments for color images
Pattern Recognition
Hypercomplex Fourier Transforms of Color Images
IEEE Transactions on Image Processing
Support vector machines for histogram-based image classification
IEEE Transactions on Neural Networks
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We propose new sets of Fourier-Mellin descriptors for color images. They are constructed using the Clifford Fourier transform of Batard et al. (2010) [4] and are an extension of the classical Fourier-Mellin descriptors for grayscale images. These are invariant under direct similarity transformations (translations, rotations, scale) and marginal treatment of colors images is avoided. An implementation of these features is given and the choice of the bivector (a distinguished color plane which parameterizes the Clifford Fourier transform) is discussed. The proposed formalism extends and clarifies the notion of direction of analysis as introduced for the quaternionic Fourier-Mellin moments (Guo and Zhu, 2011). Thus, another set of descriptors invariant under this parameter is defined. Our proposals are tested with the purpose of object recognition on well-known color image databases. Their retrieval rates are favorably compared to standard feature descriptors.