• Title/Summary/Keyword: convolution operator

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HYPERGEOMETRIC DISTRIBUTION SERIES AND ITS APPLICATION OF CERTAIN CLASS OF ANALYTIC FUNCTIONS BASED ON SPECIAL FUNCTIONS

  • Murugusundaramoorthy, Gangadharan;Porwal, Saurabh
    • Communications of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.671-684
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    • 2021
  • The tenacity of the current paper is to find connections between various subclasses of analytic univalent functions by applying certain convolution operator involving generalized hypergeometric distribution series. To be more specific, we examine such connections with the classes of analytic univalent functions k - 𝓤𝓒𝓥* (𝛽), k - 𝓢*p (𝛽), 𝓡 (𝛽), 𝓡𝜏 (A, B), k - 𝓟𝓤𝓒𝓥* (𝛽) and k - 𝓟𝓢*p (𝛽) in the open unit disc 𝕌.

Low Pass Filtering for the Extraction of Island Detection in Coastal Zone from SPOT Imagery (SPOT 위성영상을 이용한 LPF 기법으로 해안지역의 섬 경계 추출)

  • Choi Hyun;Yoon Hong-Joo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.8
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    • pp.1787-1792
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    • 2005
  • The join of remote sensing and GIS(Geographic Information System) could be useful in various fields of marine information and land information as well as ITS(Intelligent Transport Systems). This paper is LPF(Low Pass Filtering) for the extraction of island detection in coastal zone Iron SPOT imagery which is 10m resolution photograph. The study area is based on the southern sea in korea. Sobel operator performed the extraction of island detection in coastal zone after the LPF processing by remote sensing. And, GIS was used to generate from raster to vector data. As the result, The best way prove out the 5${\times}$5 convolution mask about the LPF processing of island detection in coastal zone. It is judged the research which it sees with the fact that the presentation of very scientific and reasonable data will be possible from the oceanic dispute will occur from the EEZ(Exclusive Economic Zone).

The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions

  • Deniz, Erhan;Orhan, Halit
    • Kyungpook Mathematical Journal
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    • v.50 no.1
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    • pp.37-47
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    • 2010
  • In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function f(z) defined on the open unit disk for which $\frac{(1-{\alpha})z(D^m_{{\lambda},{\mu}}f(z))'+{\alpha}z(D^{m+1}_{{\lambda},{\mu}}f(z))'}{(1-{\alpha})D^m_{{\lambda},{\mu}}f(z)+{\alpha}D^{m+1}_{{\lambda},{\mu}}f(z)}$ ${\alpha}{\geq}0$) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to generalize the Fekete-Szeg$\ddot{o}$ inequalities obtained by Srivastava et al., Orhan et al. and Shanmugam et al., by making use of the generalized differential operator $D^m_{{\lambda},{\mu}}$.

Elderly Assistance System Development based on Real-time Embedded Linux (실시간 임베디드 리눅스 기반 노약자 지원 로봇 개발)

  • Koh, Jae-Hwan;Yang, Gil-Jin;Choi, Byoung-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.11
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    • pp.1036-1042
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    • 2013
  • In this paper, an elderly assistance system is developed based on Xenomai, a real-time development framework cooperating with the Linux kernel. A Kinect sensor is used to recognize the behavior of the elderly and A-star search algorithm is implemented to find the shortest path to the person. The mobile robot also generates a trajectory using a digital convolution operator which is based on a Bezier curve for smooth driving. In order to follow the generated trajectory within the control period, we developed real-time tasks and compared the performance of the tracking trajectory with that of non real-time tasks. The real-time task has a better result on following the trajectory within the physical constraints which means that it is more appropriate to apply to an elderly assistant system.

Joint Space Trajectory Planning on RTOS (실시간 운영체제에서 관절 공간 궤적 생성)

  • Yang, Gil-Jin;Choi, Byoung-Wook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.1
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    • pp.52-57
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    • 2014
  • This paper presents an implementation of a smooth path planning method considering physical limits on a real time operating system for a two-wheel mobile robot. A Bezier curve is utilized to make a smooth path considering a robot's position and direction angle through the defined path. A convolution operator is used to generate the center velocity trajectory to travel the distance of the planned path while satisfying the physical limits. The joint space velocity is computed to drive the two-wheel mobile robot from the center velocity. Trajectory planning, velocity command according to the planned trajectory, and monitoring of encoder data are implemented with a multi-tasking system. And the synchronization of tasks is performed with a real-time mechanism of Event Flag. A real time system with multi-tasks is implemented and the result is compared with a non-real-time system in terms of path tracking to the designed path. The result shows the usefulness of a real-time multi-tasking system to the control system which requires real-time features.

Automated detection of corrosion in used nuclear fuel dry storage canisters using residual neural networks

  • Papamarkou, Theodore;Guy, Hayley;Kroencke, Bryce;Miller, Jordan;Robinette, Preston;Schultz, Daniel;Hinkle, Jacob;Pullum, Laura;Schuman, Catherine;Renshaw, Jeremy;Chatzidakis, Stylianos
    • Nuclear Engineering and Technology
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    • v.53 no.2
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    • pp.657-665
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    • 2021
  • Nondestructive evaluation methods play an important role in ensuring component integrity and safety in many industries. Operator fatigue can play a critical role in the reliability of such methods. This is important for inspecting high value assets or assets with a high consequence of failure, such as aerospace and nuclear components. Recent advances in convolution neural networks can support and automate these inspection efforts. This paper proposes using residual neural networks (ResNets) for real-time detection of corrosion, including iron oxide discoloration, pitting and stress corrosion cracking, in dry storage stainless steel canisters housing used nuclear fuel. The proposed approach crops nuclear canister images into smaller tiles, trains a ResNet on these tiles, and classifies images as corroded or intact using the per-image count of tiles predicted as corroded by the ResNet. The results demonstrate that such a deep learning approach allows to detect the locus of corrosion via smaller tiles, and at the same time to infer with high accuracy whether an image comes from a corroded canister. Thereby, the proposed approach holds promise to automate and speed up nuclear fuel canister inspections, to minimize inspection costs, and to partially replace human-conducted onsite inspections, thus reducing radiation doses to personnel.