Relevant bibliographies by topics / Invariant moments

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Invariant moments'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Invariant moments"

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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.

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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
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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.

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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
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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.

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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
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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.

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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.

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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.
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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.

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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
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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.

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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
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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.

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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
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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.

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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
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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.

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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
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Dissertations / Theses on the topic "Invariant moments"

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Al-Dulaimi, Khamael Abbas Khudhair. "White blood cells classification using higher order spectra and l-moments invariant features." Thesis, Queensland University of Technology, 2021. https://eprints.qut.edu.au/208261/1/Khamael%20Abbas%20Khudhair_Al-Dulaimi_Thesis.pdf.

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This project was a step forward in development of methods to investigate white blood cells and their types. The thesis investigated segmentation and classification methods for white blood cells and their nuclei from other components, such red blood cells, platelets and background, using signal processing, image processing and machine learning techniques, in order to generate automated reports. The outcome of the project was to enhance the accuracy of pathologists’ decisions and their efficiency, and overall benefit patients for faster and more accurate diagnosis of diseases under varying labor
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Hamachi, Kentaro. "Quantum Moment Maps and Invariants for G-invariant Star Products." 京都大学 (Kyoto University), 2000. http://hdl.handle.net/2433/151649.

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Bujack, Roxana. "Orientation Invariant Pattern Detection in Vector Fields with Clifford Algebra and Moment Invariants." Doctoral thesis, Universitätsbibliothek Leipzig, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-158268.

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The goal of this thesis is the development of a fast and robust algorithm that is able to detect patterns in flow fields independent from their orientation and adequately visualize the results for a human user. This thesis is an interdisciplinary work in the field of vector field visualization and the field of pattern recognition. A vector field can be best imagined as an area or a volume containing a lot of arrows. The direction of the arrow describes the direction of a flow or force at the point where it starts and the length its velocity or strength. This builds a bridge to vector field v
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Bujack, Roxana. "Orientation Invariant Pattern Detection in Vector Fields with Clifford Algebra and Moment Invariants." Master's thesis, Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-191202.

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The goal of this thesis is the development of a fast and robust algorithm that is able to detect patterns in flow fields independent from their orientation and adequately visualize the results for a human user. This thesis is an interdisciplinary work in the field of vector field visualization and the field of pattern recognition. A vector field can be best imagined as an area or a volume containing a lot of arrows. The direction of the arrow describes the direction of a flow or force at the point where it starts and the length its velocity or strength. This builds a bridge to vector field vi
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Miyamoto, Bruno Seiji. "Método de processamento digital de imagens para inferência da qualidade de materiais preparados com fibras vegetais." Universidade Federal de São Carlos, 2013. https://repositorio.ufscar.br/handle/ufscar/538.

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Made available in DSpace on 2016-06-02T19:06:07Z (GMT). No. of bitstreams: 1 5414.pdf: 4869959 bytes, checksum: f5d64a08bee81d350c64d71299ae404a (MD5) Previous issue date: 2013-08-02<br>Financiadora de Estudos e Projetos<br>This Dissertation presents a method development based on image processing techniques, which enables the verification and quality analysis of organic fibers mixture in thermoplastic starch (TPS). In order to do this analysis, we implemented a Python programming language module, which is able to compute invariant moments of Hu and other statistical calculations to quantify
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Jorge, Guilherme Henrique Renó. "Arquitetura para extração de características invariantes em imagens binárias utilizando dispositivos de lógica programável complexa." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/18/18133/tde-06022007-141241/.

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Os projetistas de sistemas digitais enfrentam sempre o desafio de encontrar o balanço correto entre velocidade e generalidade de processamento de seu hardware. Originalmente dispositivos de lógica programável de alta densidade como FPGAs (Field Programable Gate Arrays) e CPLDs (Complex Logic Programmable Devices) vinham sendo utilizados como dispositivos de lógica acoplada(glue logic), reduzindo significantemente o número de componentes em um sistema. Seu uso como forma de substituir arquiteturas já existentes de microcontroladores e microprocessadores já é uma realidade. A representação e rec
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Rauch, Johannes. "Discretisation-invariant swaps and higher-moment risk premia." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/61473/.

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This thesis introduces a general framework for model-free discretisation-invariant swaps. In the first main chapter a novel design for swap contracts is developed where the realised leg is modified such that the fair value is independent of the monitoring partition. An exact swap rate can then be derived from the price aportfolio of vanilla out-of-the-money options without any discrete-monitoring or jump errors. In the second main chapter the P&Ls on discretisation-invariant swaps associated with the variance, skewness and kurtosis of the log return distribution are used as estimators for the
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Nguyen, Lily T. "Quantification of Microstructural Evolution Using Moment Invariants." Research Showcase @ CMU, 2015. http://repository.cmu.edu/dissertations/604.

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Ng, Bernard. "Novel region based fMRI analysis using invariant moment descriptors." Thesis, University of British Columbia, 2007. http://hdl.handle.net/2429/31787.

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A new functional magnetic resonance imaging (fMRI) analysis approach based on invariant spatial descriptors was developed for quantitative characterization of brain activation patterns within a region of interest (ROI). In particular, the feasibility of using three dimensional moment invariants (3DMIs) to perform such spatial characterization was examined. The use of spatial descriptors is particularly novel in the field of ROI-based fMRI analysis, since up till now, only magnitude-based features were traditionally employed, which neglect the information encoded by voxel locations within an RO
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Yeremou, Tamtsia Aurélien. "Nouvelles contributions à l'application des moments en asservissement visuel." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2013. http://tel.archives-ouvertes.fr/tel-01017080.

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Cette thèse propose des contributions très prometteuses au sujet du choix des primitives visuelles en asservissement visuel utilisant les moments 2D extraits de l'image. Nous avons proposé une nouvelle manière de résoudre un problème important en asservissement visuel, à savoir la commande du mouvement de rotation suivant les axes orthogonaux à l'axe optique. Ce travail représente une amélioration significative des travaux précédents en asservissement visuel basé sur l'utilisation des moments 2D extraits de l'image pour commander les degrés de liberté des robots manipulateurs. La commande la p
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Books on the topic "Invariant moments"

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Flusser, Jan. Moments and moment invariants in pattern recognition. J. Wiley, 2009.

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Flusser, Jan. Moments and moment invariants in pattern recognition. J. Wiley, 2009.

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Flusser, Jan. Moments and moment invariants in pattern recognition. J. Wiley, 2009.

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Guillemin, Victor. Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0269-1.

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Papakostas, George, ed. Moments and Moment Invariants - Theory and Applications. Science Gate Publishing P.C., 2014. http://dx.doi.org/10.15579/gcsr.vol1.

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Flusser, Jan, Barbara Zitova, and Tomas Suk. Moments and Moment Invariants in Pattern Recognition. Wiley & Sons, Incorporated, John, 2009.

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Flusser, Jan, Barbara Zitova, and Tomas Suk. Moments and Moment Invariants in Pattern Recognition. Wiley & Sons, Incorporated, John, 2009.

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Flusser, Jan, Barbara Zitova, and Tomasc Suk. Moments and Moment Invariants in Pattern Recognition. Wiley & Sons, Limited, John, 2009.

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Flusser, Jan, Barbara Zitova, and Tomas Suk. 2D and 3D Image Analysis by Moments. Wiley & Sons, Incorporated, John, 2016.

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Flusser, Jan, Barbara Zitova, and Tomas Suk. 2D and 3D Image Analysis by Moments. Wiley & Sons, Limited, John, 2016.

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Book chapters on the topic "Invariant moments"

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Li, Zongmin, Yuanzhen Zhang, Kunpeng Hou, and Hua Li. "3D Polar-Radius Invariant Moments and Structure Moment Invariants." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11539117_70.

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Speed, T. P. "Invariant Moments and Cumulants." In Coding Theory and Design Theory. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4615-6654-0_24.

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Rosin, Paul L. "Shape Description by Bending Invariant Moments." In Computer Analysis of Images and Patterns. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23672-3_31.

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Noh, Jin Soo, and Kang Hyeon Rhee. "Palmprint Identification Algorithm Using Hu Invariant Moments." In Fuzzy Systems and Knowledge Discovery. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11540007_12.

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Elfattah, Mohamed Abd, Mohamed A. Abu ELsoud, Aboul Ella Hassanien, and Tai-hoon Kim. "Automated Classification of Galaxies Using Invariant Moments." In Future Generation Information Technology. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-35585-1_14.

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Urooj, Shabana, Satya P. Singh, Shevet Kamal Maurya, and Mayank Priyadarshi. "Fast Radial Harmonic Moments for Invariant Image Representation." In Intelligent Computing and Information and Communication. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7245-1_52.

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Alazawi, Sundos Abdulameer, Rawsam Abduladheem Hasan, and Abbas Abdulazeez Abdulhameed. "Hand Recognition System Based on Invariant Moments Features." In Research in Intelligent and Computing in Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-7527-3_42.

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Sarvaiya, Jignesh, Suprava Patnaik, and Hemant Goklani. "Image Registration Using Mexican-Hat Wavelets and Invariant Moments." In Computer Networks and Information Technologies. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19542-6_112.

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Yamni, Mohamed, Achraf Daoui, Hicham Karmouni, Mhamed Sayyouri, Hassan Qjidaa, and Mohammed Ouazzani Jamil. "New Invariant Meixner Moments for Non-uniformly Scaled Images." In Digital Technologies and Applications. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-29857-8_46.

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Ananth Raj, P. "Quaternion Circularly Semi-orthogonal Moments for Invariant Image Recognition." In Advances in Intelligent Systems and Computing. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-2107-7_46.

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Conference papers on the topic "Invariant moments"

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Sheng, Yulong. "Orthogonal invariant Fourier-Mellin moments." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.thl1.

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Conventional image moment invariants suffer from information redundancy and are sensitive to noise. We propose new orthogonal image moments based on the function set {Q n (r)exp(jmθ)}, where (r,θ) are polar coordinates and the polynomial Q n (r) is obtained by orthogonalizing the powers {r0,r1,r2,…, r n }. The moments are rotation invariant because of the circular Fourier expansion. The scale invariance is obtained by normalizing separately the power terms r n . This behavior is similar to that of the Zernike moments, but the Zernike circle polynomials are obtained by orthogonalizing the power
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Sheng, Y. "Invariant moments for pattern recognition." In OSA Annual Meeting. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.tha3.

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Image moments are invariant under certain coordinate transformations. In practical use, the classical invariant moments are sensitive to noise and to measurement errors if the moments are generated by optical methods. The effects of noise on image moments decrease with the moment order. Low-order invariant moments may be expressed in terms of the radial moments of circular harmonic functions or extended complex moments. For the purpose of invariant pattern recognition, these moments may be used for image description followed by a statistical classification in feature space. They may also be us
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Sheng, Y., and H. H. Arsenault. "Invariant recognition using circular Fourier radial-mellin descriptors." In OSA Annual Meeting. Optica Publishing Group, 1985. http://dx.doi.org/10.1364/oam.1985.the3.

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An invariant moment method is used to achieve image recognition and classification that is invariant under changes of position, rotation, contrast, and scale. The generalized image descriptors are calculated from circular Fourier radial Mellin transforms, which are radial moments of circular harmonic functions. The radial moments are redundant, and only one or a few orders need be used. The selection of the harmonic order depends on the geometrical properties of the image. The normalization procedure used to obtain scale and contrast invariance yields a weighting effect on the invariant featur
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Zaeri, Naser. "Moments Invariant for Expression Invariant Thermal Human Recognition." In 2014 2nd International Conference on Artificial Intelligence, Modelling & Simulation (AIMS). IEEE, 2014. http://dx.doi.org/10.1109/aims.2014.28.

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Petkova, Yulka, and Nuri Nuri. "Template localization using invariant moments." In the 11th International Conference on Computer Systems and Technologies and Workshop for PhD Students in Computing. ACM Press, 2010. http://dx.doi.org/10.1145/1839379.1839418.

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Leon, J., G. Sanchez, G. Aguilar, L. Toscano, H. Perez, and J. M. Ramirez. "Fingerprint verification applying invariant moments." In 2009 52nd IEEE International Midwest Symposium on Circuits and Systems (MWSCAS). IEEE, 2009. http://dx.doi.org/10.1109/mwscas.2009.5235878.

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Shen, Lixin, and Yunlong Sheng. "Distortion invariant pattern recognition using the orthogonal Fourier–Mellin moments." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.ws2.

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Scale and rotation by invariant pattern recognition is achieved using the orthogonal Fourier–Mellin moments, Q n (r)exp(jmθ), where Q n (r) are the polynomials on r and are generated by orthogonalizing the set of powers {r0,r1,…, r n }. The Q n (r) are in fact the modified Zernike radial polynomials without the restrictions that the radial moment orders must be even and greater than the circular moment orders |m|. The orthogonal Fourier–Mellin moments may be also calculated in the Cartesian coordinate system as the modified complex moments without the restriction that the moments order p and q
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Sheng, Yunlong, Ziliang Ping, and RiGeng Wu. "Image invariant moments for shape description." In Photonics Asia 2002, edited by Guoguang Mu, Francis T. S. Yu, and Suganda Jutamulia. SPIE, 2002. http://dx.doi.org/10.1117/12.483220.

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Yu, Francis T. S., Taiwei Lu, Xin Xu, Robert Yang, and Yajun Li. "Application of moment invariant image descriptor to neural computing." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.wu4.

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Invariant moments can be used to describe the basic characteristics of visual pattern.1 Thus they can be employed as a criterion in measuring the performance of different neural networks. Numerical analysis of the convergence of several neural network models based on invariant moment measurement has been conducted. Moment invariant image descriptors are used to develop a shift, scale, and rotation invariant neural network.
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Dehghani, Amin, Hamid Abrishami Moghaddam, and Mohammad-Shahram Moin. "Retinal Identification Based on Rotation Invariant Moments." In 2011 5th International Conference on Bioinformatics and Biomedical Engineering (iCBBE). IEEE, 2011. http://dx.doi.org/10.1109/icbbe.2011.5780312.

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Reports on the topic "Invariant moments"

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Acosta, D. Measurement of the Moments of the Hadronic Invariant Mass Distribution in Semileptonic Beta Decays. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/842931.

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Hart, Carl, and Gregory Lyons. A tutorial on the rapid distortion theory model for unidirectional, plane shearing of homogeneous turbulence. Engineer Research and Development Center (U.S.), 2022. http://dx.doi.org/10.21079/11681/44766.

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The theory of near-surface atmospheric wind noise is largely predicated on assuming turbulence is homogeneous and isotropic. For high turbulent wavenumbers, this is a fairly reasonable approximation, though it can introduce non-negligible errors in shear flows. Recent near-surface measurements of atmospheric turbulence suggest that anisotropic turbulence can be adequately modeled by rapid-distortion theory (RDT), which can serve as a natural extension of wind noise theory. Here, a solution for the RDT equations of unidirectional plane shearing of homogeneous turbulence is reproduced. It is ass
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Coriano, C., A. R. White, and R. R. Parwani. Scale invariant 0(g{sup 4}) Lipatov kernels at non-zero momentum transfer. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/176796.

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Ziegler, Nancy, Nicholas Webb, Adrian Chappell, and Sandra LeGrand. Scale invariance of albedo-based wind friction velocity. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/40499.

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Obtaining reliable estimates of aerodynamic roughness is necessary to interpret and accurately predict aeolian sediment transport dynamics. However, inherent uncertainties in field measurements and models of surface aerodynamic properties continue to undermine aeolian research, monitoring, and dust modeling. A new relation between aerodynamic shelter and land surface shadow has been established at the wind tunnel scale, enabling the potential for estimates of wind erosion and dust emission to be obtained across scales from albedo data. Here, we compare estimates of wind friction velocity (u*)
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