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IEEE Transactions on Pattern Analysis and Machine Intelligence
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Continuous and discrete wavelet transforms
SIAM Review
Multichannel Texture Analysis Using Localized Spatial Filters
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A multilingual, multimodal digital video library system
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Predictive Coding in the Visual Cortex by a Recurrent Network with Gabor Receptive Fields
Neural Processing Letters
Invertible Apertured Orientation Filters in Image Analysis
International Journal of Computer Vision
Subjective Surfaces: A Geometric Model for Boundary Completion
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ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Eye-State Action Unit Detection by Gabor Wavelets
ICMI '00 Proceedings of the Third International Conference on Advances in Multimodal Interfaces
Gabor Wavelet Networks for Object Representation
Proceedings of the 10th International Workshop on Theoretical Foundations of Computer Vision: Multi-Image Analysis
Multiple Landmark Feature Point Mapping for Robust Face Recognition
AVBPA '01 Proceedings of the Third International Conference on Audio- and Video-Based Biometric Person Authentication
A Comparative Study of ICA Filter Structures Learnt from Natural and Urban Images
IWANN '01 Proceedings of the 6th International Work-Conference on Artificial and Natural Neural Networks: Bio-inspired Applications of Connectionism-Part II
Gabor Feature Space Diffusion via the Minimal Weighted Area Method
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Invariant Feature Extraction and Object Shape Matching Using Gabor Filtering
VISUAL '02 Proceedings of the 5th International Conference on Recent Advances in Visual Information Systems
Geodesic Active Contours Applied to Texture Feature Space
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
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WAA '01 Proceedings of the Second International Conference on Wavelet Analysis and Its Applications
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Artificial Intelligence
Features for robust face-based identity verification
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Computer Vision and Image Understanding
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Pattern Recognition Letters
Personal Identification Based on Iris Texture Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimal sampling of Gabor features for face recognition
Pattern Recognition Letters
Simple Gabor feature space for invariant object recognition
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Matching of medical images by self-organizing neural networks
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On the Choice of Band-Pass Quadrature Filters
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Scale-Space Image Analysis Based on Hermite Polynomials Theory
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AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
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Do Simple Cells in Primary Visual Cortex Form a Tight Frame?
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A Bayesian network classifier and hierarchical Gabor features for handwritten numeral recognition
Pattern Recognition Letters
A robust method for eye features extraction on color image
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A shadow elimination approach in video-surveillance context
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The Uncertainty Principle: Group Theoretic Approach, Possible Minimizers and Scale-Space Properties
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WI-IATW '06 Proceedings of the 2006 IEEE/WIC/ACM international conference on Web Intelligence and Intelligent Agent Technology
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Engineering Applications of Artificial Intelligence
Face recognition from a single image per person: A survey
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On steerability of Gabor-type filters for feature detection
Pattern Recognition Letters
Nonstationary signal analysis using the RI-Spline wavelet
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Evaluation of the effects of Gabor filter parameters on texture classification
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Face recognition using elastic local reconstruction based on a single face image
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Self-Invertible 2D Log-Gabor Wavelets
International Journal of Computer Vision
A review of text and image retrieval approaches for broadcast news video
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IEEE Transactions on Pattern Analysis and Machine Intelligence
General Tensor Discriminant Analysis and Gabor Features for Gait Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
SPPR'07 Proceedings of the Fourth conference on IASTED International Conference: Signal Processing, Pattern Recognition, and Applications
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SBBD '08 Proceedings of the 23rd Brazilian symposium on Databases
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SSIP'08 Proceedings of the 8th conference on Signal, Speech and image processing
Optimal recursive clustering of likelihood functions for multiple object tracking
Pattern Recognition Letters
Wavelet-based fingerprint image retrieval
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Pattern Recognition Letters
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IEEE Transactions on Image Processing
Relevance feedback based on genetic programming for image retrieval
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Pattern Recognition Letters
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Applied Computational Intelligence and Soft Computing
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Expert Systems with Applications: An International Journal
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Pattern Recognition
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Computation of level lines of 4-/8-connectedness
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Information Sciences: an International Journal
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This paper extends to two dimensions the frame criterion developed by Daubechies for one-dimensional wavelets, and it computes the frame bounds for the particular case of 2D Gabor wavelets. Completeness criteria for 2D Gabor image representations are important because of their increasing role in many computer vision applications and also in modeling biological vision, since recent neurophysiological evidence from the visual cortex of mammalian brains suggests that the filter response profiles of the main class of linearly-responding cortical neurons (called simple cells) are best modeled as a family of self-similar 2D Gabor wavelets. We therefore derive the conditions under which a set of continuous 2D Gabor wavelets will provide a complete representation of any image, and we also find self-similar wavelet parameterizations which allow stable reconstruction by summation as though the wavelets formed an orthonormal basis. Approximating a "tight frame" generates redundancy which allows low-resolution neural responses to represent high-resolution images, as we illustrate by image reconstructions with severely quantized 2D Gabor coefficients.