TRANSLATION AND SCALE INVARIANTS OF HAHN MOMENTS

2009 ◽  
Vol 09 (02) ◽  
pp. 271-285 ◽  
Author(s):  
HOCK-ANN GOH ◽  
CHEE-WAY CHONG ◽  
ROSLI BESAR ◽  
FAZLY SALLEH ABAS ◽  
KOK-SWEE SIM

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 invariants. The proposed method is simpler and flexible. Experimental results show that faster execution and more precise moment invariants can be achieved using the invariant generating functions.

2014 ◽  
Vol 998-999 ◽  
pp. 951-956
Author(s):  
He Bing

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 that the mean of the watermarked image invariants is a predefined number. Watermark detection is as simple as computing the moment invariants of received image. The experiment results demonstrate the proposed method can obtain better visual effect, meanwhile, it is also robust enough to some image degradation process such as adding noise, cropping, filtering and JPEG compression.


2021 ◽  
Vol 46 (1) ◽  
pp. 41-47
Author(s):  
G. Meldesh ◽  

The article put attention on the need for a methodological collaboration analysis of the academic and modern types of teaching sculpture in the specialized creative colleges and universities of the Republic of Kazakhstan in the modern educational and aesthetic discourse. The main research problem focuses on identifying and characterizing the most relevant educational theoretical and practical methods that can significantly increase the level of domestic art education in the art of sculpture. The author believes that a comprehensive scientific analysis of the educational potential of the Kazakhstani aesthetic originality of modern sculpture, its history and technical and technological features will give a possibility to understand deeply and see the big picture of the art education role in the general socio-cultural canvas of sovereign Kazakhstan. At the moment, the Kazakhstani art education system is on a peripeteia and it is necessary to clear the choice between academic and contemporary art practices or their harmonious synthesis. This work is devoted to these question’s analysis and the author's research work disclosure.


Author(s):  
Olga V. Zakharchenko

Preparation of undergraduates and privat-docents for professorship in the late XIX – early XX century is considered on the example of Moscow University through the prism of the biography of a historian and a jurist Sergei Andreevich Kotlyarevsky. The uniqueness of his example lies in the fact that he defended four dissertations: master’s and doctoral dissertations on foreign history and master’s and doctoral dissertations on public law. This demonstrates some individualism of the trajectory showing his professional development and formation as a scientist and a teacher. The research perspective includes the process of young scientists’ formation from the moment of continuing working at the university’s profile department to prepare a dissertation up to obtaining the degree. Attention is paid to socio-political circumstances and conditions affecting the possibility of becoming a professional scientist and teacher. Both formal and special features of the training scientific and teaching staff inherent in a particular scientific community are noted. The professional development of future scientists and teachers of higher education was associated with active preparation for the defense of the master’s exam, the first teaching experience, scientific and research work. The best graduates were left at the departments with the support of leading university professors who saw new forces and future professionals in them. However, the personal contribution of the applicants themselves was important, since they were required to reveal their intellectual potential, pedagogical and research skills. At this, an important aspect was the opportunity to go on foreign business trips, in which not only the material of scientific research was collected, but knowledge was enriched as well, including getting to know the peculiarities of teaching in European countries and their socio-political life. The preparation process was completed with the public defense of the master’s dissertation and awarding a master’s degree. At the same time, the path to the teaching environment began, which required further disclosure of scientific potential and the defense of a doctoral dissertation in order to obtain a professorship.


INTERAZIONI ◽  
2009 ◽  
pp. 47-50
Author(s):  
Andrea Narracci

- In this article the author tells about having discovered the GPMF existence while he was looking for a work methodology to compete with the outbreak of the negative therapeutic reaction of psychotic patients, at the moment of the re-entry in their families. The patients were previously cured with good results in a Therapeutic CommunityFor the author, as probably for every other operator that experiences it, the GPMF symbolizes the result of a long and unconscious research work, at which a meaning can be attributed only subsequently, carried on in both, the external world, by knowledge and learning different therapeutic techniques, and mainly, the internal world, through his own maturation process. A process whose aim is to achieve the awareness of the possibility to deal with psychosis being on the same footing and not, as generally happens, from an hopeless position. Following García Badaracco's suggestions, the author tries to demonstrate that the GPMF is one of the most interesting ways through which the heritage of psychoanalytical and psychotherapeutic knowledge, mainly utilized for the study and the treatment of neurotic patients, may be used with psychotic patients, assuming the use of this knowledge through the psychoanalysis multifamily group experience. Considering that, the GPMF represents the privileged place where learning to deal with and defuse the unbearable mechanisms that produce and maintain psychosis is possible.


2015 ◽  
Vol 761 ◽  
pp. 111-115
Author(s):  
Abdul Kadir ◽  
K.A.A. Aziz ◽  
Irianto

This paper reports a new approach for recognizing objects by using combination of texture, color and shape features. Texture features were generated by applying statistical calculation on the image histogram. Color features were computed by using mean, standard deviation, skewness and kurtosis. Shape features were generated using combination of Shen features and basic shapes such as eccentricity and dispersion. The total features were used much less compared to approaches that involve orthogonal moments such as Krawtchouk moments, Zernike moments, or Tchebichef moments. Testing was done by using a dataset that contains 53 kinds of objects. All objects contained in the dataset were various things that can be found in supermarkets or produced by manufacturing. The result shows that the system gave 98.11% of accuracy rate.


2021 ◽  
Author(s):  
◽  
Viona Jane Maries

<p>In this project the author reveals how she is observing and thinking as she cares for people who are dying. She records her reflections and insights and most profoundly reveals that there is life right up to the moment of death, having observed terminally ill patients choosing the precise moment to die. She describes her observations of these moments by using poetry and stories, and explores the implications for her practice as a result.  The author presents her reflections using an individualistic, reflective and exploratory perspective which is informed by the work of nursing scholars; Taylor (2000), Benner (1984) and Johnstone (1999). This paper is framed using the metaphors of a journey and a window to indicate the reflective process that the author used to journal her observations in practice over time. This offers a professional and personal record of the author's insights.</p>


Author(s):  
N. Aouabdia ◽  
N. E. Belhadj-Tahar ◽  
Georges. Alquié

The authors' research work has for objective the study of a sensor with planar resonator for applications in the non-destructive control. In this context, two approaches were defined. In a first part, a conception, a modeling, a simulation with commercial software (HFSS, CST), a realization and measurements were treated on Rectangular Patch Resonators (RPR). The proposed theoretical analysis is based on the Moment Method (MoM) via the Galerkin's approach, in which three types of entire domain basis functions are used to expand the patch currents. While, the first two types of basic functions involve a set of sinusoidal cavity modes without edge conditions (sbf-wo-ec) and with edge conditions (sbf-w-ec), and in order to incorporate the edge conditions (cp-ec), the third one consists of Chebyshev polynomials combinations with weighting factors. These last ones as well as the Green Dyadic spectral functions are efficiently implanted with compact Fortran 90 codes. Two EM commercial software HFSS and CST was used to validate the proposed RPR prototypes. The exactness of the obtained results is estimated using four prototypes operating near 6 GHz, taking into account only the fundamental mode resonant frequency. The theoretical model is compared with the simulations and the measurement results. The second approach of the authors' work which is developed in this paper is focused on the characterization of biological materials in vitro using the RPR prototypes proposed as applicator in the non-destructive control and the medical domain to find the abnormalities of these tissues such as: eczema, psoriasis, cancer, etc. The authors' center of interest will be managed towards the dielectric properties of the biological material to extract the relative permittivity and the loss factor on several samples (liver, fat, chicken, butter, foie gras, etc.).


2012 ◽  
Vol 524-527 ◽  
pp. 3797-3800
Author(s):  
Chun Wu ◽  
Pan Zhao

Shape-based image retrieval is an important part of image retrieval. According to the shape of moment invariant features of image, a new method for shape based image retrieval is presented. Firstly the edges in the original image using Canny operator are detected, the moment invariants of the edge map are calculated, and the moment invariants as the shape features are automatically indexed. Then, the similarity metrics to accelerate the match are redefined. Finally, the aspect ratio was defined to improve the retrieval precision. Experimental results show that the new method can remove some irrelevant information related to shape in the original image and weaken its influence on the retrieval results to some extent. This new method is simple and efficient and it is of some practical significance. This image retrieval system for education has made a good search result.


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