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Robust Template Matching Using Orthogonal Legendre Moment Invariants

2010 Journal of Computer Science  
Approach: In this study, a fast and robust template matching algorithm was proposed where exact Legendre moment invariants were used where a cross-correlation was employed to detect the most similar partial  ...  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

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.  ...  Because their computation by a direct method is very time expensive, recent efforts have been devoted to the reduction of computational complexity.  ...  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

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 complexity of image analysis methods, in other words the number of operations they require to achieve a given task, iteratively or not, may lead to practical limitations when dealing with large data  ...  Wang and Wang [38] described a recursive algorithm for the fast computation of the inverse Legendre moments. Zernike moments have been extensively investigated as well in the past decades.  ... 
doi:10.1109/memb.2008.918690 pmid:18519189 pmcid:PMC2527213 fatcat:6tkun5m3ybeo7ibyctyoua5kzm

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.  ...  This novel methodology based on a decomposition technique enables fast computation of image moments.  ... 
doi:10.14738/tmlai.54.3226 fatcat:66hrizmqwbfrnfqshwpfjprt7u

δ-Fit: A fast and accurate treatment of particle scattering phase functions with weighted singular-value decomposition least-squares fitting

Y.-X Hu, B Wielicki, B Lin, G Gibson, S.-C Tsay, K Stamnes, T Wong
2000 Journal of Quantitative Spectroscopy and Radiative Transfer  
Thus the computing time can be signi"cantly reduced. For satellite remote-sensing purposes, the weighted least-squares Legendre polynomial "tting is an optimal estimation of the cloud phase function.  ...  erences between a phase function and its Legendre polynomial expansion at large scattering angles, which are important to satellite observations.  ...  Summary and discussions A -"t method is developed for fast and accurate computation of re#ected radiances.  ... 
doi:10.1016/s0022-4073(99)00147-8 fatcat:b5hdx6cbbjhbzhq25btoq6tv5u

Combined Classifier for Face Recognition using Legendre Moments

Sridhar Dasari, I.V. Murali Krishna
2012 Computer Engineering and Applications Journal  
In this paper, a new combined Face Recognition method based on Legendre moments with Linear Discriminant Analysis and Probabilistic Neural Network is proposed.  ...  The Legendre moments are orthogonal and scale invariants hence they are suitable for representing the features of the face images.  ...  The flow chart of the proposed method is shown in figure 1. The rest of this paper is organized as follows: Section II discusses computation of Legendre moments for face images.  ... 
doi:10.18495/comengapp.v1i2.12 fatcat:ghluy4ialvh77iiekxxw2tygym

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  
This paper proposes a new technique based on block-based reconstruction method (BBRM) using Legendre moments compared with the global reconstruction method (GRM).  ...  For alleviating the blocking artifact involved in the processing, we propose a new approach using lapped block-based reconstruction method (LBBRM).  ...  We propose a new approach for alleviating the blocking artifact using lapped block-based reconstruction method (LBBRM).  ... 
doi:10.1155/s1110865703305062 fatcat:wdggpvlt5jfapcnoc7kkhvpcji

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.  ...  Among features employed in content based image retrieval systems, orthogonal moments are shape features which have been used to distinguish objects.  ...  Hosny [5] proposed a fast and accurate method for both binary and gray level images named Exact Legendre Moment (ELM).  ... 
doi:10.9790/0661-1805043237 fatcat:z3bprmstyfewnmd3v3qr476b24

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.  ...  First, a new approach is developed for computing Legendre polynomials with one variable; the corresponding results are then used to calculate 1D Legendre moments.  ...  The paper is organized as follows: We first describe a new approach for computing 1D Legendre moments; this is the object of Section 2.  ... 
doi:10.1006/gmod.2000.0523 fatcat:vquvq5ehujc6dhlyc4qgg4fc6e

New Treatment of Strongly Anisotropic Scattering Phase Functions: The Delta-M+ Method

Zhenyi Lin, Nan Chen, Yongzhen Fan, Wei Li, Knut Stamnes, Snorre Stamnes
2018 Journal of the Atmospheric Sciences  
The new Delta-M+ method resolves this problem by introducing a reliable, fast, accurate, and easy-to-use Legendre expansion of the scattering phase function with modified moments.  ...  The treatment of strongly anisotropic scattering phase functions is still a challenge for accurate radiance computations.  ...  of the Legendre moments, the d-M1 algorithm is mathematically elegant, accurate, reliable, and computationally fast.  ... 
doi:10.1175/jas-d-17-0233.1 pmid:33867576 pmcid:PMC8051203 fatcat:g65ctzk2bfd2tbosfzhhumj5my

Writing on Clouds [chapter]

Vadim Mazalov, Stephen M. Watt
2012 Lecture Notes in Computer Science  
Complexity  The on-line time complexity to compute coefficients for a Legendre series truncated to degree d is then  The time at pen up is constant with respect to the number of points.  ...  .  As the numerical values are collected, compute the moments ∫ .  After last point, compute series coeffs for with domain and range scaled to These will be linear combinations of the moments.  ...  .  Work in a jet space to force coords & derivatives close.  Use a Legendre-Sobolev inner product  st jet space => set for Choose experimentally to maximize reco rate. Can be also done on-line.  ... 
doi:10.1007/978-3-642-31374-5_27 fatcat:nttaeengp5dvfkmd5xehusiccy

Exact Legendre–Fourier moments in improved polar pixels configuration for image analysis

C. Camacho-Bello
2019 IET Image Processing  
This study presents the exact Legendre-Fourier moments and a novel arrangement of polar pixels that allows calculating orthogonal moments defined in a unit radius more accurately than traditional methods  ...  Moreover, the exact Legendre-Fourier moments use the weighted substituted radial shifted Legendre polynomials as kernel, which has the ability to accurately calculate the circular moments.  ...  Hence, in this work, the Legendre polynomials are modified as weighted and substituted radial shifted Legendre polynomials in order to compute orthogonal moments in the new polar pixel configuration with  ... 
doi:10.1049/iet-ipr.2018.5489 fatcat:pbg2pk6oj5hdfkkfr2q3hz7pxm

Fast and accurate computation of orthogonal moments for texture analysis [article]

C. Di Ruberto, L. Putzu, G. Rodriguez
2018 arXiv   pre-print
In this work we describe a fast and stable algorithm for the computation of the orthogonal moments of an image.  ...  Indeed, orthogonal moments are characterized by a high discriminative power, but some of their possible formulations are characterized by a large computational complexity, which limits their real-time  ...  [20] used Legendre moments for palm print authentication with a very good prediction accuracy. The computation of Legendre moments is in general a time consuming process.  ... 
arXiv:1803.00638v2 fatcat:ibfmtwbcx5evjlcohnjre2ssim

Page 3704 of Mathematical Reviews Vol. 58, Issue 5 [page]

1979 Mathematical Reviews  
Authors’ summary: “We propose a fast method for the calculation of the absiccas and the weights of the Gauss-Hermite quadrature formulas.  ...  In the special case when the truncated cube is itself a right-angled isosceles simplex, a new algorithm is given, depending on the discrete Fourier trans- form, for calculating the moments as polynomials  ... 

Using 3D Hahn Moments as A Computational Representation of ATS Drugs Molecular Structure [article]

Satrya Fajri Pratama, Azah Kamilah Muda, Yun-Huoy Choo, Ramon Carbó-Dorca, Ajith Abraham
2018 arXiv   pre-print
One of the applications of image processing methods to represent a 3D image is 3D moments, and this study formulates a new 3D moments technique, namely 3D Hahn moments, to represent the 3D molecular structure  ...  The technical limitations of the current test kits to detect new brand of ATS drugs present a challenge to law enforcement authorities and forensic laboratories.  ...  The use of computer science in the field of chemistry breeds a new domain namely cheminformatics.  ... 
arXiv:1802.06404v2 fatcat:drxeqgzfbrhb3jfnskhjuqls54
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