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An Efficient Method for Computation of Legendre Moments

Huazhong Shu, Limin Luo, Xudong Bao, Wenxue Yu, Guoniu Han
2000 Graphical Models  
Finally, an efficient method for computing 3D Legendre moments is developed.  ...  In this paper, an efficient algorithm for computing 2D and 3D Legendre moments is presented.  ...  CALCULATION OF 3D LEGENDRE MOMENTS In this section, we describe briefly an efficient method for computing 3D Legendre moment using the results obtained in Section 2.  ... 
doi:10.1006/gmod.2000.0523 fatcat:vquvq5ehujc6dhlyc4qgg4fc6e

An efficient method for the computation of Legendre moments

Pew-Thian Yap, R. Paramesran
2005 IEEE Transactions on Pattern Analysis and Machine Intelligence  
Although the same set of exact Legendre moments can be obtained indirectly from the set of geometric moments, the computation time taken is much longer than the proposed method.  ...  This paper proposes a method to compute the exact values of the moments by mathematically integrating the Legendre polynomials over the corresponding intervals of the image pixels.  ...  ACKNOWLEDGMENTS The authors would like to thank the anonymous reviewers for their comments on the paper.  ... 
doi:10.1109/tpami.2005.232 pmid:16355666 fatcat:njpqyxruxngvde6dvakzoagexe

Efficient Legendre moment computation for grey level images

G.Y. Yang, H.Z. Shu, C. Toumoulin, G.N. Han, L.M. Luo
2006 Pattern Recognition  
We propose here a new fast method for computing the Legendre moments, which is not only suitable for binary images but also for grey levels.  ...  The method is then extended to the calculation of the two-dimensional Legendre moments Lpq. We show that the proposed method is more efficient than the direct method.  ...  13 (3) It does not require so many multiplications that as the direct method, leading thus to a better efficiency in terms of computational time. (4) The algorithm can be implemented in parallel.  ... 
doi:10.1016/j.patcog.2005.08.008 fatcat:l5xsq352rrbh5jzjzv4m22leqa


Ch.Srinivasa Rao, S.Srinivas Kumar, B.Chandra Mohan
2010 The International Journal of Multimedia & Its Applications  
Therefore, an efficient and orthogonal moment based CBIR system is needed. Legendre Moments (LM) are orthogonal, computationally faster, and can represent image shape features compactly.  ...  Superiority of the proposed CBIR system is observed over other moment based methods, viz., MI and ZM in terms of retrieval efficiency and retrieval time.  ...  Hosney [9] proposed a fast and accurate method for computation of Exact Legendre Moments (ELM) for gray level images.  ... 
doi:10.5121/ijma.2010.2206 fatcat:d4dis6zqyffyzfyvkvjegpz7qm

Fast Legendre Moments in Securing Digital Image

Legendre moments are also more suitable for image reconstruction.  ...  Experimental results show that the proposed system is very efficient in computing moments at much faster time than the Zernike moments since fast legendre moments calculates the moments as two ID function  ...  Many existing system uses Zernike moments for extracting the global features of the image [4] the reason is that Zernike moment is computationally inexpensive than legendre moments.  ... 
doi:10.35940/ijitee.k1278.10812s19 fatcat:f3vpcjuxtrf6blrh5tm5rty264

Moment-based approaches in imaging part 3: computational considerations [A Look at...]

Huazhong Shu, Limin Luo, J.-L. Coatrieux
2008 IEEE Engineering in Medicine and Biology Magazine  
This issue is also of concern for moments in particular when high orders have to be computed. Special attention must therefore be paid to fast computation.  ...  The problem of accurate computation of moments should thus be addressed. These two aspects are examined in this third paper.  ...  Because the problem of fast computation of the geometric moments has been extensively investigated, one way for efficiently computing other kinds of moments such as Legendre and Zernike moments is to express  ... 
doi:10.1109/memb.2008.918690 pmid:18519189 pmcid:PMC2527213 fatcat:6tkun5m3ybeo7ibyctyoua5kzm

Robust Template Matching Using Orthogonal Legendre Moment Invariants

2010 Journal of Computer Science  
Conclusion: Template matching by using exact Legendre moment invariants is very efficient where the high accuracy ensure the matching process and avoids any mismatching.  ...  Results: Experimental results showed that template matching by using exact Legendre moment invariants achieve higher degree of robustness.  ...  direct method for Legendre moments computations.  ... 
doi:10.3844/jcssp.2010.1083.1087 fatcat:fv4ozeqk7fgjxfm4s6jc4of5am

Image Analysis with Legendre Moment Descriptors

Amy Chiang, Simon Liao
2015 Journal of Computer Science  
In this research, a numerical integration method is proposed to improve the computational accuracy of Legendre moments.  ...  To clarify the improved computation scheme, image reconstructions from higher order of Legendre moments, up to 240, are conducted.  ...  Acknowledgment The researchers wish to thank the reviewers for their helpful comments. This author is supported by NSERC Discovery Grant.  ... 
doi:10.3844/jcssp.2015.127.136 fatcat:f7ycmnslq5d3hnltgus737yhna

A Hybrid Approach to Texture Classification [chapter]

B. Vijayalakshmi, V. Subbiah Bharathi
2011 Communications in Computer and Information Science  
Since most significant information of a texture often appears in the high frequency channels, the features are extracted by the computation of LBP and Texture Spectrum and Legendre Moments.  ...  The enormous growth of the internet and the wide use of digital data have increased the need for both efficient image database creation and retrieval procedure.  ...  The approach of the conventional LBP is simple and efficient which considers the uniform patterns in the images which will be local features of an image.  ... 
doi:10.1007/978-3-642-22540-6_12 fatcat:zi5quaxyxjhpnljik3tmwbwe7m

Classification of CT Liver Images Using Local Binary Pattern with Legendre Moments

B. Vijayalakshmi, V. Subbiah Bharathi
2016 Current Science  
This communication presents a comparative analysis between these Legendre moments, local binary pattern and combined features. The classification accuracy of 96.17% is obtained for CT liver images.  ...  Texture analysis based on moment features for CT liver scan images is proposed here.  ...  The selected order 7 of Legendre moments was computed for each of the training samples belonging to both the classes. Sixty-four moment features were extracted which comprise the full feature set.  ... 
doi:10.18520/cs/v110/i4/687-691 fatcat:ib4wpuawrfefpcszpuz6fsxfza

A Novel Approach to Texture classification using statistical feature [article]

B. Vijayalakshmi, V. Subbiah Bharathi
2011 arXiv   pre-print
Since most significant information of a texture often appears in the high frequency channels, the features are extracted by the computation of LBP and Texture Spectrum and Legendre Moments.  ...  The enormous growth of the internet and the wide use of digital data have increased the need for both efficient image database creation and retrieval procedure.  ...  Binary Pattern images, Texture Spectrum, Texture Spectrum with Legendre Moment, LBP with Legendre Moment and proposed method.  ... 
arXiv:1111.2391v1 fatcat:scro43jb5fdzvo6cu4no4mp7x4

Comparative Study of Exact Continuous Orthogonal Moments Applications : Local Feature Extraction and Data Compression

Zaineb Bahaoui, Rachid Benouini, Hakim EL Fadili, Khalid Zenkouar, Arsalane Zarghili
2017 Transactions on Machine Learning and Artificial Intelligence  
This paper present an improved reconstruction algorithm of the multigray level images based on overlapping block method using exact continuous moments computation: Legendre , Zernike, Pseudo Zernike and  ...  This method aim to ensure high accuracy and low computation time, using only small finite number of moments.  ...  REFERENCES is called the exact computation of Legendre moments (ELM) [89].The image function f(x, y)can be written as an infinite series of expansion in terms of the Legendre polynomials over the square  ... 
doi:10.14738/tmlai.54.3226 fatcat:66hrizmqwbfrnfqshwpfjprt7u

Lapped Block Image Analysis via the Method of Legendre Moments

Hakim El Fadili, Khalid Zenkouar, Hassan Qjidaa
2003 EURASIP Journal on Advances in Signal Processing  
Research investigating the use of Legendre moments for pattern recognition has been performed in recent years. This field of research remains quite open.  ...  For the problem of selecting the optimal number of moment used to represent a given image, we propose the maximum entropy principle (MEP) method.  ...  Our method exploits for every block the neighborhood information related to its adjacent blocks during the moment computation.  ... 
doi:10.1155/s1110865703305062 fatcat:wdggpvlt5jfapcnoc7kkhvpcji

Determination of Phase Transitions of p,n-Alkyloxy Benzoic Acid Mesogens Using Legendre Moments and Image Analysis

S. Sreehari Sastry, C. Nageswara Rao, K. Mallika, S. Lakshminarayan, Ha Sie Tiong
2013 World Journal of Condensed Matter Physics  
The analysis is carried out by the computation of Legendre moments.  ...  The discontinuities and fluctuations in the values of Legendre moments as a function of temperature are related to the phase transition temperatures of the sample.  ...  The program has been coded using MATLAB software (implemented on P4 1.6 GHz with 2 GB RAM) for computational analysis of textures which is an efficient tool for calculating the Legendre moments [19] .  ... 
doi:10.4236/wjcmp.2013.31010 fatcat:lgozdtposnc73f7ekaq75p4owa

Moment Features Weighting for Image Retrieval

HabibollahAgh Atabay
2016 IOSR Journal of Computer Engineering  
This paper presents an effective moment weighting method according to image reconstruction and retrieval accuracyto reduce the dimensionality of moment-based features.  ...  Feature selection is an effective tool to improve the performance of content based image retrieval systems.  ...  The general computational form of an order moment g=(p+q) computed on an N×M image having intensity function f(x,y), is defined as follows = * ( , ) ( , ) =1 =1 (1) Where (. ) corresponds to the moment's  ... 
doi:10.9790/0661-1805043237 fatcat:z3bprmstyfewnmd3v3qr476b24
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