• Title/Summary/Keyword: Mapping Technique

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NEW PROXIMAL ALGORITHMS FOR A CLASS OF $(A,\;{\eta})-ACCRETIVE$ VARIATIONAL INCLUSION PROBLEMS WITH NON-ACCRETIVE SET-VALUED MAPPINGS

  • Lan, Heng-You
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.255-267
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    • 2007
  • In this work, by using Xu's inequality, Nalder's results, the notion of $(A,\;{\eta})-accretive$ mappings and the new resolvent operator technique associated with $(A,\;{\eta})-accretive$ mappings due to Lan et al., we study the existence of solutions for a new class of $(A,\;{\eta})-accretive$ variational inclusion problems with non-accretive set-valued mappings and the convergence of the iterative sequences generated by the algorithms in Banach spaces. Our results are new and extend, improve and unify the corresponding results in this field.

A Study on the Composition of Compact Code using Octal-Compact Mapping Technique (OCM방법을 이용한 Compact Code의 구성에 관한 연구)

  • 김경태;민용식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.9 no.3
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    • pp.103-107
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    • 1984
  • According to rapid developments in data communication, we have being used every infromation with ease. In receiving and transmitting the infromation acquired, it is being needed to transmit it with minimizing bits if possible. Therefore this paper suggests the efficient coding system, that is, OCM(Octal-Compact Mapping) technique. In case of average-case, it has 3.5bytes in entropy with 8 symbols. This means it is compressed more than at least 1 byte as compared with another coding techniques. It decreases the redundancy of data and is superior to another data compression techniques.

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GENERAL NONLINEAR RANDOM SET-VALUED VARIATIONAL INCLUSION PROBLEMS WITH RANDOM FUZZY MAPPINGS IN BANACH SPACES

  • Balooee, Javad
    • Communications of the Korean Mathematical Society
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    • v.28 no.2
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    • pp.243-267
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    • 2013
  • This paper is dedicated to study a new class of general nonlinear random A-maximal $m$-relaxed ${\eta}$-accretive (so called (A, ${\eta}$)-accretive [49]) equations with random relaxed cocoercive mappings and random fuzzy mappings in $q$-uniformly smooth Banach spaces. By utilizing the resolvent operator technique for A-maximal $m$-relaxed ${\eta}$-accretive mappings due to Lan et al. and Chang's lemma [13], some new iterative algorithms with mixed errors for finding the approximate solutions of the aforesaid class of nonlinear random equations are constructed. The convergence analysis of the proposed iterative algorithms under some suitable conditions are also studied.

Correction and Positioning of Remote Sensing Image Base on Orbit Parameter

  • Cheng, Chunquan;Zhang, Jixian;Yan, Qin;Wang, Yali
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.1212-1214
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    • 2003
  • The usual technique of correction and positioning of film image of RS require enough control points to provide the geographic coordinate. Some distortion and error caused by earth curvature and terrain and photograph tilt can't be eliminated by these ways. In this paper a set of technique of systemic correction and positioning of remote sensing image base on orbit parameter is described, some questions in its realization and their solvent also included.

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Moderate fraction snow mapping in Tibetan Plateau

  • Hongen, Zhang;Suhong, Liu;Jiancheng, Shi
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.75-77
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    • 2003
  • The spatial distribution of snow cover area is a crucial input to models of hydrology and climate in alpine and other seasonally snow covered areas.The objective in our study is to develop a rapidly automatic and high accuracy snow cover mapping algorithm applicable for the Tibetan Plateau which is the most sensitive about climatic change. Monitoring regional snow extent reqires higher temoral frequency-moderate spatial resolution imagery.Our algorithm is based AVHRR and MODIS data and will provide long-term fraction snow cover area map.We present here a technique is based on the multiple endmembers approach and by taking advantages of current approaches, we developed a technique for automatic selection of local reference spectral endmembers.

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A RANDOM GENERALIZED NONLINEAR IMPLICIT VARIATIONAL-LIKE INCLUSION WITH RANDOM FUZZY MAPPINGS

  • Khan, F.A.;Aljohani, A.S.;Alshehri, M.G.;Ali, J.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.4
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    • pp.717-731
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    • 2021
  • In this paper, we introduce and study a new class of random generalized nonlinear implicit variational-like inclusion with random fuzzy mappings in a real separable Hilbert space and give its fixed point formulation. Using the fixed point formulation and the proximal mapping technique for strongly maximal monotone mapping, we suggest and analyze a random iterative scheme for finding the approximate solution of this class of inclusion. Further, we prove the existence of solution and discuss the convergence analysis of iterative scheme of this class of inclusion. Our results in this paper improve and generalize several known results in the literature.

An Adaptive Photon Mapping in the Use of Automatic Differentiation

  • Namae, Takuya;Makino, Mitsunori
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.991-994
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    • 2002
  • Photon mapping is an efficient global illumination technique for realistic image synthesis that has been developed in computer graphics. In this paper, an adaptive photon mapping in the use of automatic differentiation is proposed. Since the automatic differentiation is used when photons emit from the light sources through the scene, we can check the variation of surrounding shape. Therefore, we can decrease the number of photons and generate an image in relatively low computational cost.

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New Image Mapping Algorithm for 3D Integral Imaging Display System used in Virtual Reality

  • Suk, Myung-Hoon;Min, Sung-Wook
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.41-45
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    • 2005
  • A new algorithm of the image mapping which is a technique of the elemental image generation is proposed. The proposed method is based on the characteristics of the lens array such as the number, the size and the focal length of the elemental lens. The 3D image generated by 3D graphic API such as OpenGL can be directly adopted without the complex adaptation. Since the image mapping using the proposed method can enhance the speed of the elemental image generation, the computer- generated integral imaging system can be applied to virtual reality system.

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A Technique for Mapping Sequence Diagram to EJB Beans (순차도에서 EJB 빈 으로의 매핑 기법)

  • 이원규;김수동
    • Proceedings of the Korean Information Science Society Conference
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    • 2001.10a
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    • pp.397-399
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    • 2001
  • Unified Modeling Language(UML)은 개발하고자 하는 시스템을 Visualizing, Specifying, Constructing, Documenting 화 해주는 graphical language 이다. 우리는 이러한 모델링 언어를 통하여, 객체지향 분석/설계 과정에 이용하고 있다. 그러나, EJB 로 Mapping 하기 위한 충분한 연구가 이루어지지 않아 개발자들이 EJB 로 UML 을 설계 및 구현을 명확하게 옮기지 못하였다. 본 논문에서는 이 점에 중점을 두고 UML Modeling 을 통해 설계 및 구현된 내용중 UML 의 Sequence Diagram 의 요소들을 EJB Bean으로의 구현시 Mapping 지침을 제시한다

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ON GENERALIZED NONLINEAR QUASIVARIATIONAL INEQUALITIES

  • Li, Jin-Song;Kang, Shin-Min
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.141-146
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    • 2009
  • In this paper, we introduce a new generalized nonlinear quasivariational inequality and establish its equivalence with a xed point problem by using the resolvent operator technique. Utilizing this equivalence, we suggest two iterative schemes, prove two existence theorems of solutions for the generalized nonlinear quasivariational inequality involving generalized cocoercive mapping and establish some convergence results of the sequences generated by the algorithms. Our results include several previously known results as special cases.