Log in

Relevant bibliographies by topics / Invariant moments / Journal articles

To see the other types of publications on this topic, follow the link: Invariant moments.

Journal articles on the topic 'Invariant moments'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Invariant moments.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Bedratyuk, L. P., and A. I. Bedratyuk. "3D geometric moment invariants from the point of view of the classical invariant theory." Matematychni Studii 58, no. 2 (2023): 115–32. http://dx.doi.org/10.30970/ms.58.2.115-132.

Full text

Abstract:

The aim of this paper is to clear up the problem of the connection between the 3D geometric moments invariants and the invariant theory, considering a problem of describing of the 3D geometric moments invariants as a problem of the classical invariant theory.Using the remarkable fact that the complex groups $SO(3,\mathbb{C})$ and $SL(2,\mathbb{C})$ are locally isomorphic, we reduced the problem of deriving 3D geometric moments invariants to the well-known problem of the classical invariant theory. We give a precise statement of the 3D geometric invariant moments computation, intro\-ducin

APA, Harvard, Vancouver, ISO, and other styles

2

GOH, HOCK-ANN, CHEE-WAY CHONG, ROSLI BESAR, FAZLY SALLEH ABAS, and KOK-SWEE SIM. "TRANSLATION AND SCALE INVARIANTS OF HAHN MOMENTS." International Journal of Image and Graphics 09, no. 02 (2009): 271–85. http://dx.doi.org/10.1142/s0219467809003435.

Full text

Abstract:

Hahn moments are a superset of Tchebichef and Krawtchouk moments. The formulation for Hahn moments is however comparably more complex than other moments. So far only research work on translation and scale invariants for Tchebichef moments has been presented but not on Hahn moments. In this paper, a moment normalization method to achieve translation and scale invariants of Hahn moments is proposed. This method applies the concept of mapping functions used in image normalization. The mapping functions, once determined, are plugged into the moment generating functions to generate moment invariant

APA, Harvard, Vancouver, ISO, and other styles

3

Vyas, Vibha S., and Priti P. Rege. "Geometric transform Invariant Texture Analysis based on Modified Zernike Moments." Fundamenta Informaticae 88, no. 1-2 (2008): 177–92. https://doi.org/10.3233/fun-2008-881-208.

Full text

Abstract:

In this paper, geometric invariant texture analysis, which comprises of rotation, scale and translation (RST) invariance, is presented. Many types of moments and functions of moments have been utilized in RST invariant pattern recognition applications. However, use of moments for texture content-based image analysis is limited. Here, application of Zernike moment for geometric invariant texture analysis is studied. An algorithm is proposed to design fast and modified Zernike moments to extract a particular texture from image irrespective of its rotation scale change and translation. The algori

APA, Harvard, Vancouver, ISO, and other styles

4

Samad, Saleha, Anam Haq, and Shoab A. Khan. "Orientation Invariant Object Recognitions Using Geometric Moments Invariants and Color Histograms." International Journal of Computer and Electrical Engineering 7, no. 2 (2015): 101–8. http://dx.doi.org/10.17706/ijcee.2015.v7.876.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Zhang, Chao Xin, and Ping Xi. "Analysis of Gaussian-Hermite Moment Invariants on Image Geometric Transformation." Applied Mechanics and Materials 519-520 (February 2014): 557–61. http://dx.doi.org/10.4028/www.scientific.net/amm.519-520.557.

Full text

Abstract:

Gaussian-Hermite moments and their invariants have been widely used in image processing and pattern recognition. The moments are strictly invariant for the continuous function. However, the digital images are discrete. The image function and the moment imvariants may change during image geometric transformation. To address this problem, an analysis with respect to the fluctuation of moment invariants on image geometric transformation is presented. The guidance is provided as well to minimizing the fluctuation of the Gaussian-Hermite moments.

APA, Harvard, Vancouver, ISO, and other styles

6

Hameed, Vazeerudeen Abdul. "Orthogonal Moment Invariant Function for Image Processing." Journal of Computational and Theoretical Nanoscience 16, no. 8 (2019): 3400–3403. http://dx.doi.org/10.1166/jctn.2019.8299.

Full text

Abstract:

Orthogonal moments are of great importance in image processing due to their high discriminatory capability. Orthogonal moment invariant functions like Legendre moments and Complex Zernike moments are known for high computational complexity and/or they are complex valued. This paper presents a new orthogonal moment function that is real valued. The formulation is appraised to prove that it is computationally less complex when compared to the existing moment functions. The proposed orthogonal moment functions are appraised over their reversible nature to obtain the original data. The new moment

APA, Harvard, Vancouver, ISO, and other styles

7

Jinle, Zeng, Zou Yirong, Du Dong, Chang Baohua, and Pan Jiluan. "Research on a visual weld detection method based on invariant moment features." Industrial Robot: An International Journal 42, no. 2 (2015): 117–28. http://dx.doi.org/10.1108/ir-06-2014-0358.

Full text

Abstract:

Purpose – This paper aims to develop a feasible visual weld detection method to solve the problems in multi-layer welding detection (e.g. cover pass welding detection) for seam tracking and non-destructive testing. It seeks for an adaptive and accurate way to determine the edge between the seam and the base metal in the grayscale image of weld automatically. This paper tries to contribute to next-generation real-time robotic welding systems for multi-layer welding. Design/methodology/approach – This paper opted for invariant moments to characterize the seam and the base metal for classificatio

APA, Harvard, Vancouver, ISO, and other styles

8

Bing, He. "Geometrically Robust Image Watermarking Based on Krawtchouk Invariant Moments." Advanced Materials Research 998-999 (July 2014): 951–56. http://dx.doi.org/10.4028/www.scientific.net/amr.998-999.951.

Full text

Abstract:

In this paper an image watermarking based on krawtchouk moment invariants is proposed. krawtchouk moments are selected for image watermarking because image reconstruction with these moments is better than other orthogonal moments like Legendre, Zernike and Tchebichef. Watermarking is composed of the mean of several function of the first and second krawtchouk moment invariants order designed to be invariant to translation, scaling and rotation. The watermarked image is a linear combination of the original image and a weighted nonlinear transformation of original. The weight is computed such tha

APA, Harvard, Vancouver, ISO, and other styles

9

SUGI, T., DEJEY, and R. S. RAJESH. "GEOMETRIC ATTACK RESISTANT ROBUST IMAGE WATERMARKING SCHEME." International Journal of Information Acquisition 09, no. 01 (2013): 1350008. http://dx.doi.org/10.1142/s0219878913500083.

Full text

Abstract:

A new watermarking approach based on affine Legendre moment invariants (ALMIs) and local characteristic regions (LCRs) which allows watermark detection and extraction under affine transformation attacks is presented in this paper. It is a non-blind watermarking scheme. Original image color image is converted into HSV color space and divided into four parts. LCR is constructed and a set of affine invariants are derived on LCRs based on Legendre moments for each part. These invariants can be used for estimating the affine transform coefficients on the LCRs. ALMIs are used for watermark embedding

APA, Harvard, Vancouver, ISO, and other styles

10

Liang, Chen Hua, and Qing Chang. "Weighted Modified Hu Moment in Human Behavior Recognition." Advanced Materials Research 765-767 (September 2013): 2603–7. http://dx.doi.org/10.4028/www.scientific.net/amr.765-767.2603.

Full text

Abstract:

t has been shown that the traditional seven Hu invariant moment does not have scaling invariance with low recognition rate in human behavior recognition. In order to improve the recognition rate, a human behavior recognition method will be put forward in this paper based on weighted modified Hu moments. Firstly, the traditional seven Hu moments will be extended to ten Hu moments to get more image details. Then, the extended Hu moments will be modified to make the Hu moments has the feature of scaling invariance. Lastly, the weighted modified Hu moment will be obtained through least squares met

APA, Harvard, Vancouver, ISO, and other styles

11

Wang, Mei, E. Ye Wang, and Guo Hua Pan. "Image Quality Assessment Based on Invariant Moments Similarity." Advanced Materials Research 546-547 (July 2012): 565–69. http://dx.doi.org/10.4028/www.scientific.net/amr.546-547.565.

Full text

Abstract:

To resolve the problems of the image quality assessment issue and the algorithm adaptability for different image size and deformation, this paper proposes a image quality assessment algorithm based on Invariant Moments Similarity. Firstly, Hu invariant moments values of original image and evaluated image are computed. Secondly the invariant moments distance is completed between original image and evaluated image. At last, the method assess the restoration image quality depend on the invariant moment distance. The experimental result shows that the algorithm result is better than MSE, PSNR, SSI

APA, Harvard, Vancouver, ISO, and other styles

12

Sahmoudi, Yahya, Omar El Ogri, Jaouad El Mekkaoui, Boujamaa Janati Idrissi, and Amal Hjouji. "Improving the Machine Learning Performance for Image Recognition Using a New Set of Mountain Fourier Moments." Image Analysis and Stereology 43, no. 1 (2024): 67–84. http://dx.doi.org/10.5566/ias.3009.

Full text

Abstract:

The orthogonal moments are giving relevant results of these last years within the framework of object detection, pattern recognition and image reconstruction. This article is based on orthogonal functions called "Orthogonal Mountain functions (OMFs)" and we introduce a new set of moments called the multichannel Mountain Fourier moments (MMFMs), their performance is in reconstruction, noise invariants, rotation, scale and translation for image color. To validate these proposed techniques, we made several experimental tests to analyse images. We compare the results obtained from invariant moment

APA, Harvard, Vancouver, ISO, and other styles

13

VYAS, VIBHA S., and PRITI P. REGE. "GEOMETRIC TRANSFORM INVARIANT TEXTURE ANALYSIS WITH MODIFIED CHEBYSHEV MOMENTS BASED ALGORITHM." International Journal of Image and Graphics 09, no. 04 (2009): 559–74. http://dx.doi.org/10.1142/s0219467809003587.

Full text

Abstract:

Texture based Geometric invariance, which comprises of rotation scale and translation (RST) invariant is finding application in various areas including industrial inspection, estimation of object range and orientation, shape analysis, satellite imaging, and medical diagnosis. Moments based techniques, apart from being computationally simple as compared to other RST invariant texture operators, are also robust in presence of noise. Zernike moments (ZM) based techniques are one of the well-established methods used for texture identification. As ZM are continuous moments, when discretization is d

APA, Harvard, Vancouver, ISO, and other styles

14

Kejia Wang, Kejia Wang, Ziliang Ping Ziliang Ping, and and Yunlong Sheng and Yunlong Sheng. "Development of image invariant moments—a short overview." Chinese Optics Letters 14, no. 9 (2016): 091001–91011. http://dx.doi.org/10.3788/col201614.091001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Wang, Yong Qing, Dan Tian, Deng Yuan Song, and Lei Zhang. "Application of Improved Invariant Moments and SVM in the Recognition of Solar Cell Defects." Applied Mechanics and Materials 672-674 (October 2014): 3–6. http://dx.doi.org/10.4028/www.scientific.net/amm.672-674.3.

Full text

Abstract:

The infrared image of solar cell's electroluminescence (EL) is one of the important means of hidden defects detection. In order to improve the automatic recognition rate of defect images, this paper adopts improved invariant moments for feature extraction. The scale factor of the improved invariant moments is eliminated by transformation. Therefore they have the properties of translation, rotation and scale invariance simultaneously in discrete state. At the same time, Support Vector Machine (SVM) is used to distinguish the defect image. The system which combined invariant moments with SVM is

APA, Harvard, Vancouver, ISO, and other styles

16

CHEN, GUANGYI, SRIDHAR KRISHNAN, and TIEN D. BUI. "RAMANUJAN SUMS FOR IMAGE PATTERN ANALYSIS." International Journal of Wavelets, Multiresolution and Information Processing 12, no. 01 (2013): 1450003. http://dx.doi.org/10.1142/s0219691314500039.

Full text

Abstract:

Ramanujan Sums (RS) have been found to be very successful in signal processing recently. However, as far as we know, the RS have not been applied to image analysis. In this paper, we propose two novel algorithms for image analysis, including moment invariants and pattern recognition. Our algorithms are invariant to the translation, rotation and scaling of the 2D shapes. The RS are robust to Gaussian white noise and occlusion as well. Our algorithms compare favourably to the dual-tree complex wavelet (DTCWT) moments and the Zernike's moments in terms of correct classification rates for three we

APA, Harvard, Vancouver, ISO, and other styles

17

Huang, Min, Guo Feng Yang, Ya Qiong Ma, and Yan Ming Wang. "Research and Implementation of Vehicle-Logo Recognition Based on Modified Invariant Moments." Advanced Materials Research 717 (July 2013): 444–48. http://dx.doi.org/10.4028/www.scientific.net/amr.717.444.

Full text

Abstract:

According to the low recognition rate of Hu invariant moments in the target images, this article proposes a vehicle-logo recognition research algorithm based on the modified invariant moments. At first, use the template matching to locate the vehicle-logo rough area and use the edge detection for accurate location. Then, calculate the characteristic value of the modified invariant moments of the vehicle-logo, finally, the vehicle-logo is recognized according to the minimum distance of invariant moments. The experimental results show that the modified invariant moments can improve the recogniti

APA, Harvard, Vancouver, ISO, and other styles

18

Hupkens, Th M., and J. de Clippeleir. "Noise and intensity invariant moments." Pattern Recognition Letters 16, no. 4 (1995): 371–76. http://dx.doi.org/10.1016/0167-8655(94)00110-o.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Raupach, Timothy H., and Alexis Berne. "Invariance of the Double-Moment Normalized Raindrop Size Distribution through 3D Spatial Displacement in Stratiform Rain." Journal of Applied Meteorology and Climatology 56, no. 6 (2017): 1663–80. http://dx.doi.org/10.1175/jamc-d-16-0316.1.

Full text

Abstract:

AbstractDouble-moment normalization of the drop size distribution (DSD) summarizes the DSD in a compact way, using two of its statistical moments and a “generic” double-moment normalized DSD function. Results are presented of an investigation into the invariance of the double-moment normalized DSD through horizontal and vertical displacement in space, using data from disdrometers, vertically pointing K-band Micro Rain Radars, and an X-band polarimetric weather radar. The invariance of the double-moment normalized DSD is tested over a vertical range of up to 1.8 km and a horizontal range of up

APA, Harvard, Vancouver, ISO, and other styles

20

Zhang, Li, Gong-bin Qian, Wei-wei Xiao, and Zhen Ji. "Geometric invariant blind image watermarking by invariant Tchebichef moments." Optics Express 15, no. 5 (2007): 2251. http://dx.doi.org/10.1364/oe.15.002251.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Huang, Min, Ya Qiong Ma, Hua Zhong Shu, and Qiu Ping Gong. "Trademark Recognition Based on Hu Modified Invariant Moments." Applied Mechanics and Materials 397-400 (September 2013): 2313–17. http://dx.doi.org/10.4028/www.scientific.net/amm.397-400.2313.

Full text

Abstract:

Trademark represents the quality of the goods and the manufacturer's reputation, which is an important symbol of goods; automatic trademark recognition has a wide range of application prospects in many fields such as e-commerce, advertising and logistics transportation. In target recognition algorithm, the most critical is to extract the target feature. Because of the moment feature has better invariant characteristics; it is widely used in image feature extraction. In this paper we use Hu modified moments and the minimum distance classifier for trademark recognition, the experimental results

APA, Harvard, Vancouver, ISO, and other styles

22

Qi, Xiao Long, Bin Fang, and Shu Mei Wang. "Laser-Welding Spots Detection Based on Original Moment Values." Applied Mechanics and Materials 599-601 (August 2014): 974–80. http://dx.doi.org/10.4028/www.scientific.net/amm.599-601.974.

Full text

Abstract:

In the past decades, the theories of invariant moments have been researched extensively and wildly used in many fields. However, for the laser-welding spots of titanium tubes or other fixed objects, the invariant moments are inapplicable. Besides, the studies and experiments about image classification by means of the original moment values were barely proposed. In this paper, the method of classification based on original moment values is introduced, and an improved approach of KPCA (kernel principal component analysis) in order to reduce the inner-class distance of the qualified laser-welding

APA, Harvard, Vancouver, ISO, and other styles

23

Wu, Dong Mei, Jun Wei Li, and Li Hua Lin. "The Application of the Moment in the Human Recognition." Applied Mechanics and Materials 263-266 (December 2012): 2661–65. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.2661.

Full text

Abstract:

The important method of the human recognition is to use the moment of the target. This paper is mainly dedicated to the method of human recognition use for Hu moment and Zernike moment, and separates some sports target using the minimum distance classifier. Comparing characteristic of these moments in specific application, have provided the certain basis for the choice of the invariant moments in the human recognition algorithm.

APA, Harvard, Vancouver, ISO, and other styles

24

Singh, Chandan, and Sukhjeet K. Ranade. "Rotation invariant moments and transforms for geometrically invariant image watermarking." Journal of Electronic Imaging 22, no. 1 (2013): 013034. http://dx.doi.org/10.1117/1.jei.22.1.013034.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

MUKUNDAN, R. "FAST COMPUTATION OF GEOMETRIC MOMENTS AND INVARIANTS USING SCHLICK'S APPROXIMATION." International Journal of Pattern Recognition and Artificial Intelligence 22, no. 07 (2008): 1363–77. http://dx.doi.org/10.1142/s0218001408006764.

Full text

Abstract:

Geometric moments have been used in several applications in the field of Computer Vision. Many techniques for fast computation of geometric moments have therefore been proposed in the recent past, but these algorithms mainly rely on properties of the moment integral such as piecewise differentiability and separability. This paper explores an alternative approach to approximating the moment kernel itself in order to get a notable improvement in computational speed. Using Schlick's approximation for the normalized kernel of geometric moments, the computational overhead could be significantly red

APA, Harvard, Vancouver, ISO, and other styles

26

Hyung Shin Kim and Heung-Kyu Lee. "Invariant image watermark using zernike moments." IEEE Transactions on Circuits and Systems for Video Technology 13, no. 8 (2003): 766–75. http://dx.doi.org/10.1109/tcsvt.2003.815955.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Khotanzad, A., and Y. H. Hong. "Invariant image recognition by Zernike moments." IEEE Transactions on Pattern Analysis and Machine Intelligence 12, no. 5 (1990): 489–97. http://dx.doi.org/10.1109/34.55109.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Chalendar, Isabelle, Karim Kellay, and Thomas Ransford. "Binomial sums, moments and invariant subspaces." Israel Journal of Mathematics 115, no. 1 (2000): 303–20. http://dx.doi.org/10.1007/bf02810592.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Ping, Ziliang, Haiping Ren, Jian Zou, Yunlong Sheng, and Wurigen Bo. "Generic orthogonal moments: Jacobi–Fourier moments for invariant image description." Pattern Recognition 40, no. 4 (2007): 1245–54. http://dx.doi.org/10.1016/j.patcog.2006.07.016.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

ZHANG, YANI, CHANGYUN WEN, YING ZHANG, and YENG CHAI SOH. "NEURAL NETWORK BASED CLASSIFICATION USING BLUR DEGRADATION AND AFFINE DEFORMATION INVARIANT FEATURES." International Journal on Artificial Intelligence Tools 10, no. 01n02 (2001): 243–56. http://dx.doi.org/10.1142/s0218213001000507.

Full text

Abstract:

Identification of affine deformed and simultaneously blur degraded images is an important task in pattern analysis. In this paper, we introduce an image normalization approach to derive blur and affine combined moment invariants (BACIs). In our scheme, the lowest order blur invariant moments are used as the normalization constraints and an appropriate normalization procedure is designed to guarantee that the constraints used in each step should not be affected in the subsequent normalization steps. A neural network (NN) model is then employed to classify the degraded images using the proposed

APA, Harvard, Vancouver, ISO, and other styles

31

Wan, Li. "Image Classification Combined with Fusion Gaussian–Hermite Moments Feature and Improved Nonlinear SVM Classifier." Journal of Advanced Computational Intelligence and Intelligent Informatics 22, no. 6 (2018): 875–82. http://dx.doi.org/10.20965/jaciii.2018.p0875.

Full text

Abstract:

With the development of computer technology, data mining, artificial intelligence, and image-processing technology have been applied to medical diagnosis. Image classification is one of the main technologies of medical image processing, which can be used to determine whether a patient suffers from breast cancer according to x-ray images of the breast. To achieve reliable classification of breast images, an image classification method combined with a fusion Gaussian–Hermite moments feature and improved nonlinear support vector machine (SVM) classifier is proposed. The proposed fusion Gaussian–H

APA, Harvard, Vancouver, ISO, and other styles

32

Wanchat, Sujin, Supattra Plermkamon, and Danaipong Chetchotsak. "Object's Centroid Localization Using Hu-Flusser's Moments Invariant." Applied Mechanics and Materials 526 (February 2014): 316–23. http://dx.doi.org/10.4028/www.scientific.net/amm.526.316.

Full text

Abstract:

A combination between two components generally requires screws for assemble them together with high precision and accuracy that is need in industrial application. This research proposes the machine vision technique using Hu-Flussers moments invariant to locate centroids of target screws from a tray for loading instead of the current human vision in manual operation. To validate precision and accuracy template matching is tested in parallel with Hu-Flussers moments invariant. The results show that Hu-Flussers moments invariant is better in terms of precision and have robust ability to exclude o

APA, Harvard, Vancouver, ISO, and other styles

33

Premnath, Kannan N., and Sanjoy Banerjee. "Inertial Frame Independent Forcing for Discrete Velocity Boltzmann Equation: Implications for Filtered Turbulence Simulation." Communications in Computational Physics 12, no. 3 (2012): 732–66. http://dx.doi.org/10.4208/cicp.181210.090911a.

Full text

Abstract:

AbstractWe present a systematic derivation of a model based on the central moment lattice Boltzmann equation that rigorously maintains Galilean invariance of forces to simulate inertial frame independent flow fields. In this regard, the central moments, i.e. moments shifted by the local fluid velocity, of the discrete source terms of the lattice Boltzmann equation are obtained by matching those of the continuous full Boltzmann equation of various orders. This results in an exact hierarchical identity between the central moments of the source terms of a given order and the components of the cen

APA, Harvard, Vancouver, ISO, and other styles

34

Kiêu, Kiên, and Marianne Mora. "Estimating the reduced moments of a random measure." Advances in Applied Probability 28, no. 2 (1996): 335–36. http://dx.doi.org/10.2307/1428047.

Full text

Abstract:

Random measures are commonly used to describe geometrical properties of random sets. Examples are given by the counting measure associated with a point process, and the curvature measures associated with a random set with a smooth boundary. We consider a random measure with an invariant distribution under the action of a standard transformation group (translatioris, rigid motions, translations along a given direction and so on). In the framework of the theory of invariant measure decomposition, the reduced moments of the random measure are obtained by decomposing the related moment measures.

APA, Harvard, Vancouver, ISO, and other styles

35

Kiêu, Kiên, and Marianne Mora. "Estimating the reduced moments of a random measure." Advances in Applied Probability 28, no. 02 (1996): 335–36. http://dx.doi.org/10.1017/s000186780004831x.

Full text

Abstract:

Random measures are commonly used to describe geometrical properties of random sets. Examples are given by the counting measure associated with a point process, and the curvature measures associated with a random set with a smooth boundary. We consider a random measure with an invariant distribution under the action of a standard transformation group (translatioris, rigid motions, translations along a given direction and so on). In the framework of the theory of invariant measure decomposition, the reduced moments of the random measure are obtained by decomposing the related moment measures.

APA, Harvard, Vancouver, ISO, and other styles

36

Schneider, Eivind. "Differential Invariants of Measurements, and Their Relation to Central Moments." Entropy 22, no. 10 (2020): 1118. http://dx.doi.org/10.3390/e22101118.

Full text

Abstract:

Due to the principle of minimal information gain, the measurement of points in an affine space V determines a Legendrian submanifold of V×V*×R. Such Legendrian submanifolds are equipped with additional geometric structures that come from the central moments of the underlying probability distributions and are invariant under the action of the group of affine transformations on V. We investigate the action of this group of affine transformations on Legendrian submanifolds of V×V*×R by giving a detailed overview of the structure of the algebra of scalar differential invariants, and we show how th

APA, Harvard, Vancouver, ISO, and other styles

37

Zhai, Xue Ming, Dong Ya Zhang, Yu Jia Zhai, Ruo Chen Li, and De Wen Wang. "Feature Extraction and Classification of Images Based on Corner Invariant Moments." Applied Mechanics and Materials 475-476 (December 2013): 374–78. http://dx.doi.org/10.4028/www.scientific.net/amm.475-476.374.

Full text

Abstract:

Image feature extraction and classification is increasingly important in all sectors of the images system management. Aiming at the problems that applying Hu invariant moments to extract image feature computes large and too dimensions, this paper presented Harris corner invariant moments algorithm. This algorithm only calculates corner coordinates, so can reduce the corner matching dimensions. Combined with the SVM (Support Vector Machine) classification method, we conducted a classification for a large number of images, and the result shows that using this algorithm to extract invariant momen

APA, Harvard, Vancouver, ISO, and other styles

38

Mohammed, Talal Ghazal, and Abdullah Karam. "Face recognition based on curvelets, invariant moments features and SVM." TELKOMNIKA Telecommunication, Computing, Electronics and Control 18, no. 2 (2020): 733–39. https://doi.org/10.12928/TELKOMNIKA.v18i2.14106.

Full text

Abstract:

Recent studies highlighted on face recognition methods. In this paper, a new algorithm is proposed for face recognition by combining Fast Discrete Curvelet Transform (FDCvT) and Invariant Moments with Support vector machine (SVM), which improves rate of face recognition in various situations. The reason of using this approach depends on two things. first, Curvelet transform which is a multi-resolution method, that can efficiently represent image edge discontinuities; Second, the Invariant Moments analysis which is a statistical method that meets with the translation, rotation and scale invaria

APA, Harvard, Vancouver, ISO, and other styles

39

Hjouji, Amal, Jaouad EL-Mekkaoui, and Mostafa Jourhmane. "Rotation scaling and translation invariants by a remediation of Hu’s invariant moments." Multimedia Tools and Applications 79, no. 19-20 (2020): 14225–63. http://dx.doi.org/10.1007/s11042-020-08648-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Hong, Yutian, and Jianyong Wang. "Fuzzy Clustering of Infrared Image Features Based on Lazy Snapping Algorithm." Journal of Nanoelectronics and Optoelectronics 17, no. 6 (2022): 974–82. http://dx.doi.org/10.1166/jno.2022.3262.

Full text

Abstract:

Substation equipment is an important part of the power grid, which undertakes the function of power transmission and conversion and directly affects the operation status of the whole substation and power system. When the substation equipment is in an abnormal working state, the temperature will change. Therefore, the temperature information of the substation equipment is used as the judgment basis to complete the judgment of the working state of the equipment, which can realize the fault diagnosis of the substation equipment and ensure that the power system works in a safe and reliable environ

APA, Harvard, Vancouver, ISO, and other styles

41

Padoan, Alberto; Astolfi Alessandro. "Singularities and Moments of Nonlinear Systems." IEEE Transactions on Automatic Control 65, no. 8 (2019): 3647–54. https://doi.org/10.1109/TAC.2019.2951297.

Full text

Abstract:

The notions of eigenvalue, pole and moment at a pole of a continuous-time, nonlinear, time-invariant system are studied. Eigenvalues and poles are first characterized in terms of invariant subspaces. Tools from geometric control theory are used to define nonlinear enhancements of these notions and to study their relationship with the solution of certain partial differential equations, cascade decompositions and steady-state impulse responses. The theory is illustrated by means of worked-out examples and its significance is demonstrated by solving the model reduction problem by moment matching

APA, Harvard, Vancouver, ISO, and other styles

42

Kiêu, Kiên, and Marianne Mora. "Estimating the reduced moments of a random measure." Advances in Applied Probability 31, no. 1 (1999): 48–62. http://dx.doi.org/10.1239/aap/1029954265.

Full text

Abstract:

We consider a random measure for which distribution is invariant under the action of a standard transformation group. The reduced moments are defined by applying classical theorems on invariant measure decomposition. We present a general method for constructing unbiased estimators of reduced moments. Several asymptotic results are established under an extension of the Brillinger mixing condition. Examples related to stochastic geometry are given.

APA, Harvard, Vancouver, ISO, and other styles

43

Kiêu, Kiên, and Marianne Mora. "Estimating the reduced moments of a random measure." Advances in Applied Probability 31, no. 01 (1999): 48–62. http://dx.doi.org/10.1017/s0001867800008946.

Full text

Abstract:

We consider a random measure for which distribution is invariant under the action of a standard transformation group. The reduced moments are defined by applying classical theorems on invariant measure decomposition. We present a general method for constructing unbiased estimators of reduced moments. Several asymptotic results are established under an extension of the Brillinger mixing condition. Examples related to stochastic geometry are given.

APA, Harvard, Vancouver, ISO, and other styles

44

Khachumov, M. V. "INVARIANT MOMENTS AND METRICS IN PATTERN RECOGNITION." Современные наукоемкие технологии (Modern High Technologies), no. 4 2020 (2020): 69–77. http://dx.doi.org/10.17513/snt.37975.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Ismail. "Invariant Image Watermarking Using Accurate Zernike Moments." Journal of Computer Science 6, no. 1 (2010): 52–59. http://dx.doi.org/10.3844/jcssp.2010.52.59.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Shamsuddin, M., M. N. Sulaiman, and M. Darus. "Improved Scale-Invariant Moments for Deformation Digits." International Journal of Computer Mathematics 74, no. 4 (2000): 439–47. http://dx.doi.org/10.1080/00207160008804953.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Shen, Lixin. "Noncentral image moments for invariant pattern recognition." Optical Engineering 34, no. 11 (1995): 3181. http://dx.doi.org/10.1117/12.213614.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Letac, Gerard, and Helene Massam. "All Invariant Moments of the Wishart Distribution." Scandinavian Journal of Statistics 31, no. 2 (2004): 295–318. http://dx.doi.org/10.1111/j.1467-9469.2004.01-043.x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Yang, Hong-Ying, Na Xu, Wei-Yi Li, Yong-Wei Li, Pan-pan Niu, and Xiang-Yang Wang. "Color image representation using invariant exponent moments." Computers & Electrical Engineering 46 (August 2015): 273–87. http://dx.doi.org/10.1016/j.compeleceng.2015.05.008.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Sim, Dong-Gyu, Hae-Kwang Kim, and Rae-Hong Park. "Invariant texture retrieval using modified Zernike moments." Image and Vision Computing 22, no. 4 (2004): 331–42. http://dx.doi.org/10.1016/j.imavis.2003.11.003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!