Image analysis by modified Legendre moments

Authors:
Bo Fu;Jianzhong Zhou;Yuhong Li;Guojun Zhang;Cheng Wang
Affiliations:
College of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;College of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;College of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;College of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Venue:
Pattern Recognition
Year:
2007

Citing 13
Cited 5

On digital approximation of moment invariants

Computer Vision, Graphics, and Image Processing
On Image Analysis by the Methods of Moments

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

IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern recognition with moment invariants: a comparative study and new results

Pattern Recognition
On Image Analysis by Moments

IEEE Transactions on Pattern Analysis and Machine Intelligence
Orthogonal Moment Features for Use With Parametric and Non-Parametric Classifiers

IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Accuracy of Zernike Moments for Image Analysis

IEEE Transactions on Pattern Analysis and Machine Intelligence
RETRACTED: Invariance image analysis using modified Zernike moments

Pattern Recognition Letters
Aircraft identification by moment invariants

IEEE Transactions on Computers
On the reconstruction aspects of moment descriptors

IEEE Transactions on Information Theory
Image analysis by Tchebichef moments

IEEE Transactions on Image Processing
Image analysis by Krawtchouk moments

IEEE Transactions on Image Processing
Some computational aspects of discrete orthonormal moments

IEEE Transactions on Image Processing

Computer-based detection of bleeding and ulcer in wireless capsule endoscopy images by chromaticity moments

Computers in Biology and Medicine
Image Analysis by Modified Krawtchouk Moments

ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part III
Gauss-Green cubature and moment computation over arbitrary geometries

Journal of Computational and Applied Mathematics
Accurate and speedy computation of image Legendre moments for computer vision applications

Image and Vision Computing
A symmetry and bi-recursive algorithm of accurately computing Krawtchouk moments

Pattern Recognition Letters

Quantified Score

Hi-index	0.01

Visualization

Abstract

In the paper, a new set of orthogonal moments based on the modified Legendre polynomials is introduced. Three properties of the modified Legendre polynomials, which are orthogonality, orthogonal invariance and the characteristic that an interval on the center of [-1,1] covers more zeros than do that on the edge of [-1,1], are discussed detailedly. The orthogonality of the proposed moments ensures minimal information redundancy in a moment set. The orthogonal invariance of the proposed polynomials makes the proposed moments have the property of translation invariance. And, the third property ensures that the modified Legendre moments have superior feature representation capabilities over Legendre moments in analyzing small images. For small images, the description by the modified Legendre moments is better than that by the Legendre moments and the Chebyshev moments in terms of image-reconstruction errors. Theoretical and experimental measures of performance are carried out to investigate the image-representation capabilities of the proposed moments for images and noisy-images. The computational aspects of the moments using recurrence, integral, symmetry and translation invariance are also discussed. Experimental results are shown.