On Image Analysis by Moments

Authors:
Simon X. Liao;Miroslaw Pawlak
Affiliations:
-;-
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1996

Citing 16
Cited 78

On digital approximation of moment invariants

Computer Vision, Graphics, and Image Processing
Fast algorithm for the computation of moment invariants

Pattern Recognition
Numerical recipes in C: the art of scientific computing

Numerical recipes in C: the art of scientific computing
On Image Analysis by the Methods of Moments

IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimal Estimation of Contour Properties by Cross-Validated Regularization

IEEE Transactions on Pattern Analysis and Machine Intelligence
Evaluation of Quantization Error in Computer Vision

IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient parallel algorithms for the computation of two-dimensional image moments

Pattern Recognition
A Study of Methods of Choosing the Smoothing Parameter in Image Restoration by Regularization

IEEE Transactions on Pattern Analysis and Machine Intelligence
The revised Fundamental Theorem of Moment Invariants

IEEE Transactions on Pattern Analysis and Machine Intelligence
Simple and fast computation of moments

Pattern Recognition
Fast computation of moment invariants

Pattern Recognition
On the feasibility of cross-validation in image analysis

SIAM Journal on Applied Mathematics
A survey of moment-based techniques for unoccluded object representation and recognition

CVGIP: Graphical Models and Image Processing
Digital Pattern Recognition by Moments

Journal of the ACM (JACM)
Automated Smoothing of Image and Other Regularly Spaced Data

IEEE Transactions on Pattern Analysis and Machine Intelligence
Image analysis by moments

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On the Accuracy of Zernike Moments for Image Analysis

IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric and Illumination Invariants for Object Recognition

IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Line Fitting in a Noisy Image by the Method of Moments

IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing Moments by Prefix Sums

Journal of VLSI Signal Processing Systems
Word recognition system using neural networks

Highly parallel computaions
Moment Invariants and Quantization Effects

CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Recognition of Rotated Characters by Eigen-space

ICDAR '03 Proceedings of the Seventh International Conference on Document Analysis and Recognition - Volume 2
Evaluation of MPEG-7 shape descriptors against other shape descriptors

Multimedia Systems
New computational methods for full and subset Zernike moments

Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Detection of Human Faces in Complex Scene Images by Use of a Skin Color Model and of Invariant Fourier-Mellin Moments

ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 2 - Volume 2
Similarity measurement for aggregation of spatial objects

Proceedings of the 2005 ACM symposium on Applied computing
An Efficient Method for the Computation of Legendre Moments

IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition of Indian Multi-oriented and Curved Text

ICDAR '05 Proceedings of the Eighth International Conference on Document Analysis and Recognition
Custom-Built Moments for Edge Location

IEEE Transactions on Pattern Analysis and Machine Intelligence
Image reconstruction from a complete set of similarity invariants extracted from complex moments

Pattern Recognition Letters
Integral Invariants for Shape Matching

IEEE Transactions on Pattern Analysis and Machine Intelligence
A Matrix-Based Approach to the Image Moment Problem

Journal of Mathematical Imaging and Vision
Efficient computation of radial moment functions using symmetrical property

Pattern Recognition
Recursive computation of Tchebichef moment and its inverse transform

Pattern Recognition
Image analysis by modified Legendre moments

Pattern Recognition
A numerical recipe for accurate image reconstruction from discrete orthogonal moments

Pattern Recognition
Complete invariants for robust face recognition

Pattern Recognition
On the computational aspects of Zernike moments

Image and Vision Computing
Translation and scale invariants of Tchebichef moments

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Exact Legendre moment computation for gray level images

Pattern Recognition
Lapped block image analysis via the method of legendre moments

EURASIP Journal on Applied Signal Processing
Template matching using the parametric template vector with translation, rotation and scale invariance

Pattern Recognition
Robust designs for series estimation

Computational Statistics & Data Analysis
Algorithm for stereovision disparity calculation in the moment space

Machine Graphics & Vision International Journal
Adaptive video communication for an intelligent distributed system: Tuning sensors parameters for surveillance purposes

Machine Vision and Applications
Curve matching for open 2D curves

Pattern Recognition Letters
Multi-Reference Shape Priors for Active Contours

International Journal of Computer Vision
Foundations of near sets

Information Sciences: an International Journal
On the accuracy of image normalization by Zernike moments

Image and Vision Computing
Testing for image symmetries: with application to confocal microscopy

IEEE Transactions on Information Theory
Implicit Moment Invariants

International Journal of Computer Vision
Orthogonal variant moments features in image analysis

Information Sciences: an International Journal
An efficient method for the exact computation of Legendre moments of binary images

DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Fast and real-time moment computation methods of gray images using image block representation

SPPRA '08 Proceedings of the Fifth IASTED International Conference on Signal Processing, Pattern Recognition and Applications
A method of target recognition from remote sensing images

IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Using moments features from Gabor directional images for Kannada handwriting character recognition

Proceedings of the International Conference and Workshop on Emerging Trends in Technology
A new method of feature fusion and its application in image recognition

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Refined translation and scale Legendre moment invariants

Pattern Recognition Letters
A symmetry and bi-recursive algorithm of accurately computing Krawtchouk moments

Pattern Recognition Letters
Shape-based Invariant Texture Indexing

International Journal of Computer Vision
Identifying objects in range data based on similarity transformation invariant shape signatures

PerMIS '08 Proceedings of the 8th Workshop on Performance Metrics for Intelligent Systems
Quotient vs. difference: Comparison between the two discriminant criteria

Neurocomputing
Projective invariants of co-moments of 2D images

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Multi-oriented Bangla and Devnagari text recognition

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Push-Pull marginal discriminant analysis for feature extraction

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On the use of perceptual Line Spectral pairs Frequencies and higher-order residual moments for Speaker Identification

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Geodesic shape retrieval via optimal mass transport

ECCV'10 Proceedings of the 11th European conference on Computer vision: Part V
Using tchebichef moment for fast and efficient image compression

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Fast computation of tchebichef moments for binary and grayscale images

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Geodesic Methods in Computer Vision and Graphics

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A novel contour descriptor for 2D shape matching and its application to image retrieval

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Automatic 3D face recognition combining global geometric features with local shape variation information

FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
From classifiers to discriminators: A nearest neighbor rule induced discriminant analysis

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Moments-Based Fast Wedgelet Transform

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Rotation and translation invariants of Gaussian-Hermite moments

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A new fingerprint matching approach using level 2 and level 3 features

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Image analysis by Gaussian-Hermite moments

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Parameterized real-time moment computation on gray images using block techniques

Journal of Real-Time Image Processing
Beyond sparsity: The role of L1-optimizer in pattern classification

Pattern Recognition
Feature Fusion Using Multiple Component Analysis

Neural Processing Letters
Skeletonization of noisy images via the method of legendre moments

ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
Image reconstruction from continuous Gaussian-Hermite moments implemented by discrete algorithm

Pattern Recognition
Two novel complete sets of similarity invariants

ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Image analysis by discrete orthogonal hahn moments

ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
3D face recognition based on g-h shape variation

SINOBIOMETRICS'04 Proceedings of the 5th Chinese conference on Advances in Biometric Person Authentication
Fast computation of accurate Gaussian-Hermite moments for image processing applications

Digital Signal Processing
An insect classification analysis based on shape features using quality threshold ARTMAP and moment invariant

Applied Intelligence
A nonnegative sparse representation based fuzzy similar neighbor classifier

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Assessment of geometric features for individual identification and verification in biometric hand systems

Expert Systems with Applications: An International Journal
A secure high capacity full-gray-scale-level multi-image information hiding and secret image authentication scheme via Tchebichef moments

Image Communication
Feature Extraction Based on Maximum Nearest Subspace Margin Criterion

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Enhanced iterative projection for subclass discriminant analysis under EM-alike framework

Pattern Recognition
Error Analysis in the Computation of Orthogonal Rotation Invariant Moments

Journal of Mathematical Imaging and Vision

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Abstract

Research has been performed investigating the use of moments for pattern recognition in recent years. The basic problem of the influence of discretization and noise on moment accuracy as object descriptors, has been barely investigated. In this paper, the detailed error analysis involved in the moment method is discussed. Several new techniques to increase the accuracy and efficiency of moment descriptor are proposed. We utilize later these results for the problem of the image reconstruction from the orthogonal Legendre moments computed from discrete and noisy data is. The automatic selection of an optimal number of moments is also discussed.