• 제목/요약/키워드: mapping method

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가변 포톤 반지름을 이용한 Photon Mapping 렌더링 방법 (Photon Mapping Rendering Method using Variable Photon Radius)

  • 정재광;김재정
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2004년도 가을 학술발표논문집 Vol.31 No.2 (2)
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    • pp.649-651
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    • 2004
  • 본 논문은 전역조명을 효율적으로 계산하기 위한 렌더링 방법인 photon mapping 에서 물체의 조명 값을 계산하는데 필요한 radiance를 구하는 새로운 방법을 제안한다. 기존의 방법은 포톤과 표면과의 반응 종류에 상관없이 포톤을 저장할 때 단지 위치와 기타 정보만을 저장하는 방법을 사용했었다. 본 논문에서는 각각의 포톤에 하나의 반지름을 부여하여 물체 표면과의 반응 종류에 따라 가변적으로 반지름을 조절하는 방법을 사용하였다. 구현 후 실험 결과 비슷한 렌러링 시간에 이전에 사용되던 방법에 비해서 caustic 과 그림자 표현에서 더 나은 이미지 품질을 보여주었다. 또한 이전 방법에서 caustic을 명확하게 표현하기 위해서 사용했던 caustic map을 사용한 경우에 비해서 더 빠르게 렌더링 되는 결과가 나타났다.

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STABILITY AND HYPERSTABILITY OF MULTI-ADDITIVE-CUBIC MAPPINGS IN INTUITIONISTIC FUZZY NORMED SPACES

  • Ramzanpour, Elahe;Bodaghi, Abasalt;Gilani, Alireza
    • 호남수학학술지
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    • 제42권2호
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    • pp.391-409
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    • 2020
  • In the current paper, the intuitionistic fuzzy normed space version of Hyers-Ulam stability for multi-additive, multi-cubic and multi-additive-cubic mappings by using a fixed point method are studied. Moreover, a few corollaries corresponding to some known stability and hyperstability outcomes in intuitionistic fuzzy normed space are presented.

ON THE CONVERGENCE OF HYBRID PROJECTION METHODS FOR ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE

  • Cho, Sun-Young;Kang, Shin-Min;Qin, Xiaolong
    • 대한수학회논문집
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    • 제26권3호
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    • pp.473-482
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    • 2011
  • In this paper, mappings which are asymptotically pseudo-contractive in the intermediate sense are considered based on a hybrid projection method. Strong convergence theorems of fixed points are established in the framework of Hilbert spaces.

CAD와 PDM 시스템 간에 STEP 제품 구조 정보의 교환 (Exchange of the Product Structure Data of STEP between CAD and PDM Systems)

  • 오유천;한순흥
    • 한국CDE학회논문집
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    • 제5권3호
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    • pp.215-223
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    • 2000
  • The product data exchange between heterogeneous CAB and PDM systems is a crucial issue for the integration of product development systems. STEP offers an efficient mechanism of product data exchange between heterogeneous systems. This paper introduces a UML-based mapping methodology for the product data models. The suggested mapping method has been applied to exchange the product structure data between CAD and PDM systems. Based on the STEP methods, we developed an interface module between a CAD system and a PDM system.

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시각적 색일치를 위한 확장된 비선형 양자화와 색역매핑을 이용한 칼라 프린팅 (Color Printing Using Expanded Nonlinear Quantization and Color Gamut Mapping for Visual Color Constancy)

  • 이채수;김경만;이철희;하영호
    • 한국감성과학회:학술대회논문집
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    • 한국감성과학회 1997년도 한국감성과학회 연차학술대회논문집
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    • pp.146-151
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    • 1997
  • Recntly many devics print electronic images in a variety of ways. But the reproduced color, gamut mappung method and expanded nonlinear quantization are proposed. The color gamut mapping uses saturation mapping of HSI color space. Dithering operation for printing uses expanded nonlinear quantization which considers overlapping phenomena of neighboring printing dots. So the printed image is similar to the image of monitor and can produce high quality image in the low bit color devices.

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APPROXIMATION RESULTS OF A THREE STEP ITERATION METHOD IN BANACH SPACE

  • Omprakash Sahu;Amitabh Banerjee
    • Korean Journal of Mathematics
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    • 제31권3호
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    • pp.269-294
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    • 2023
  • The purpose of this paper is to introduce a new three-step iterative process and show that our iteration scheme is faster than other existing iteration schemes in the literature. We provide a numerical example supported by graphs and tables to validate our proofs. We also prove convergence and stability results for the approximation of fixed points of the contractive-like mapping in the framework of uniformly convex Banach space. In addition, we have established some weak and strong convergence theorems for nonexpansive mappings.

GENERAL SYSTEM OF MULTI-SEXTIC MAPPINGS AND STABILITY RESULTS

  • Abasalt Bodaghi
    • 대한수학회논문집
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    • 제38권2호
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    • pp.509-524
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    • 2023
  • In this study, we characterize the structure of the multivariable mappings which are sextic in each component. Indeed, we unify the general system of multi-sextic functional equations defining a multi-sextic mapping to a single equation. We also establish the Hyers-Ulam and Găvruţa stability of multi-sextic mappings by a fixed point theorem in non-Archimedean normed spaces. Moreover, we generalize some known stability results in the setting of quasi-𝛽-normed spaces. Using a characterization result, we indicate an example for the case that a multi-sextic mapping is non-stable.

비선형 이동경화를 고려한 점소성 모델의 내연적 적분 (A Semi-Implicit Integration for Rate-Dependent Plasticity with Nonlinear Kinematic Hardening)

  • 윤삼손;이순복
    • 대한기계학회논문집A
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    • 제27권9호
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    • pp.1562-1570
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    • 2003
  • The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. The complexity of these constitutive equations generally requires a stable and accurate numerical method. The radial return mapping is one of the most robust integration scheme currently used. Nonlinear kinematic hardening model of Armstrong-Fredrick type has recovery term and the direction of kinematic hardening increment is not parallel to that of plastic strain increment. In this case, The conventional radial return mapping method cannot be applied directly. In this investigation, we expanded the radial return mapping method to consider the nonlinear kinematic hardening model and implemented this integration scheme into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using Newton method and bisection method. Using dynamic yield condition derived from linearization of flow rule, the integration scheme for elastoplastic and viscoplastic constitutive model was unified. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

저주파 필터를 이용한 수치등각사상에 관한 연구 (A Study on Numerical Conformal Mapping by Low Frequency pass Filter)

  • 송은지
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2009년도 추계학술대회
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    • pp.821-824
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    • 2009
  • 등각사상은 함수론의 기본적인 문제의 하나로 물리학, 공학 등에 응용되고 있다. 예를 들어 선박이나 비행기의 모양을 고려할 때 나타나는 유체의 문제등에 유용하게 쓰이고 있다. 본 논문에서는 단위원 내부로부터 Jordan 영역 내부에로의 수치등각사상을 구하는 문제를 다루는데 이것은 비선형 적분방정식인 Theodorsen방정식을 푸는 것으로 귀착된다. Theodorsen방정식을 구하는 해법 중 Wegmann의 방법은 계산량에 있어서 가장 유효하다고 알려져 있다. 그러나 수치실험을 통하여 난이도가 높은 문제에 있어 수렴하지 않는 문제점을 발견하게 되었다. 본 논문에서는 수렴하지 않는 불안정의 원인을 이론적으로 분석하고 저주파필터에 의하여 개선한 방법을 제안한다. 개선한 방법에 의한 수치 실험결과를 보고한다.

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1-D PE 어레이로 컨볼루션 연산을 수행하는 저전력 DCNN 가속기 (Power-Efficient DCNN Accelerator Mapping Convolutional Operation with 1-D PE Array)

  • 이정혁;한상욱;최승원
    • 디지털산업정보학회논문지
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    • 제18권2호
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    • pp.17-26
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    • 2022
  • In this paper, we propose a novel method of performing convolutional operations on a 2-D Processing Element(PE) array. The conventional method [1] of mapping the convolutional operation using the 2-D PE array lacks flexibility and provides low utilization of PEs. However, by mapping a convolutional operation from a 2-D PE array to a 1-D PE array, the proposed method can increase the number and utilization of active PEs. Consequently, the throughput of the proposed Deep Convolutional Neural Network(DCNN) accelerator can be increased significantly. Furthermore, the power consumption for the transmission of weights between PEs can be saved. Based on the simulation results, the performance of the proposed method provides approximately 4.55%, 13.7%, and 2.27% throughput gains for each of the convolutional layers of AlexNet, VGG16, and ResNet50 using the DCNN accelerator with a (weights size) x (output data size) 2-D PE array compared to the conventional method. Additionally the proposed method provides approximately 63.21%, 52.46%, and 39.23% power savings.