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
On the connection between the Zernike moments and Radon transform of an image
Pattern Recognition Letters
A Matrix-Based Approach to the Image Moment Problem
Journal of Mathematical Imaging and Vision
Recursive computation of Tchebichef moment and its inverse transform
Pattern Recognition
Image analysis by modified Legendre moments
Pattern Recognition
Image analysis by discrete orthogonal Racah moments
Signal Processing
Pattern Recognition
Rotationally invariant filter bank for pattern recognition of noisy images
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Translation and scale invariants of Tchebichef moments
Pattern Recognition
A filter bank method to construct rotationally invariant moments for pattern recognition
Pattern Recognition Letters
Image analysis by discrete orthogonal dual Hahn moments
Pattern Recognition Letters
Image Analysis Using Hahn Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Discrete orthogonal moments in image analysis
SPPR'07 Proceedings of the Fourth conference on IASTED International Conference: Signal Processing, Pattern Recognition, and Applications
Fast computation of geometric moments using a symmetric kernel
Pattern Recognition
Algorithm for stereovision disparity calculation in the moment space
Machine Graphics & Vision International Journal
Computers in Biology and Medicine
Selection of multiresolution rotationally invariant moments for image recognition
Mathematics and Computers in Simulation
A local Tchebichef moments-based robust image watermarking
Signal Processing
Image Analysis by Modified Krawtchouk Moments
ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part III
Farthest point distance: A new shape signature for Fourier descriptors
Image Communication
A unified methodology for the efficient computation of discrete orthogonal image moments
Information Sciences: an International Journal
Numerical experiments on the accuracy of rotation moments invariants
Image and Vision Computing
Discrete orthogonal moments in image analysis
SPPRA '07 Proceedings of the Fourth IASTED International Conference on Signal Processing, Pattern Recognition, and Applications
A nonparametric regression model for virtual humans generation
Multimedia Tools and Applications
A symmetry and bi-recursive algorithm of accurately computing Krawtchouk moments
Pattern Recognition Letters
MADE: a composite visual-based 3D shape descriptor
MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques
Image analysis by Bessel-Fourier moments
Pattern Recognition
Shape prior criterion based on Tchebichef moments in variational region growing
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Principal moments for efficient representation of 2D shape
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Feature-based watermarking using discrete orthogonal Hahn moment invariants
Proceedings of the 7th International Conference on Frontiers of Information Technology
Image quality assessment by discrete orthogonal moments
Pattern Recognition
A 3D shape retrieval framework for 3D smart cities
Frontiers of Computer Science in China
Using tchebichef moment for fast and efficient image compression
Pattern Recognition and Image Analysis
Fast computation of tchebichef moments for binary and grayscale images
IEEE Transactions on Image Processing
CIARP'10 Proceedings of the 15th Iberoamerican congress conference on Progress in pattern recognition, image analysis, computer vision, and applications
Performance study of an improved Legendre Moment Descriptor as region-based shape descriptor
Pattern Recognition and Image Analysis
Moments-Based Fast Wedgelet Transform
Journal of Mathematical Imaging and Vision
Occupant classification system for automotive airbag suppression
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Rotation and translation invariants of Gaussian-Hermite moments
Pattern Recognition Letters
Fast computation of exact Zernike moments using cascaded digital filters
Information Sciences: an International Journal
Image analysis by Gaussian-Hermite moments
Signal Processing
A fast zigzag-pruned 4×4 DTT algorithm for image compression
WSEAS Transactions on Signal Processing
Image recognition by affine Tchebichef moment invariants
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part III
Geometrically invariant image watermarking using SVR correction in NSCT domain
Computers and Electrical Engineering
Symbol recognition combining vectorial and statistical features
GREC'05 Proceedings of the 6th international conference on Graphics Recognition: ten Years Review and Future Perspectives
A new method for traffic signs classification using probabilistic neural networks
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part III
Radial Tchebichef moment invariants for image recognition
Journal of Visual Communication and Image Representation
Content-based image quality metric using similarity measure of moment vectors
Pattern Recognition
Image analysis by discrete orthogonal hahn moments
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
Geometrically invariant image watermarking using Polar Harmonic Transforms
Information Sciences: an International Journal
Invariant curvature-based Fourier shape descriptors
Journal of Visual Communication and Image Representation
Performance evaluation of moment-based watermarking methods: A review
Journal of Systems and Software
Breast mass classification using orthogonal moments
IWDM'12 Proceedings of the 11th international conference on Breast Imaging
Multimodal biometric person authentication using fingerprint, face features
PRICAI'12 Proceedings of the 12th Pacific Rim international conference on Trends in Artificial Intelligence
Generalized dual Hahn moment invariants
Pattern Recognition
The fast recursive computation of Tchebichef moment and its inverse transform based on Z-transform
Digital Signal Processing
Generic radial orthogonal moment invariants for invariant image recognition
Journal of Visual Communication and Image Representation
Breast density classification to reduce false positives in CADe systems
Computer Methods and Programs in Biomedicine
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This paper introduces a new set of orthogonal moment functions based on the discrete Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern features in the analysis of two-dimensional images. The implementation of the moments proposed in this paper does not involve any numerical approximation, since the basis set is orthogonal in the discrete domain of the image coordinate space. This property makes Tchebichef moments superior to the conventional orthogonal moments such as Legendre moments and Zernike moments, in terms of preserving the analytical properties needed to ensure information redundancy in a moment set. The paper also details the various computational aspects of Tchebichef moments and demonstrates their feature representation capability using the method of image reconstruction