• 제목/요약/키워드: mathematical image

검색결과 490건 처리시간 0.024초

요리스 라만(Joris Laarman)의 3D프린터를 활용한 가구디자인에 관한 연구 (Study of Furniture Design Utilizing 3D Printers Joris Laarman)

  • 이현정
    • 한국가구학회지
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    • 제27권2호
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    • pp.128-136
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    • 2016
  • Digital designs that appear in the three-dimensional virtual space by the digital type are designed as there is not an image created with an organic artificially generated (Creation) and representation (Modifying), developed by the specific environment given. The advanced digital design will produce a result with an algorithm according to a mathematical operation and the environment and has the nature of generating the real world, changes, development and affinity (Genetic Process). The digital design process is largely defined by a set of processes that are consistently designed to integrate form of creation, reproduction, proceeds in three steps, while the manufacture and assembly as a form of maintenance as possible the intended form of control data from the concept of building. By Joris Laarman 3D printer design is a simulation created by the digital process by the various algorithms and design achieved through the development of 3D printers, such as new materials and MX3D. From the mold production of a complex whole by using a robot and other digital production tool extracts a variety of forms.

EVOLUTION OF INTERNAL WAVES NEAR A TURNING POINT IN THE SOUTH CHINA SEA USING SAR IMAGERY AND NUMERICAL MODELS

  • Kim, Duk-Jin;Lyzenga, David R.;Choi, Woo-Young;Kim, Youn-Soo
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2007년도 Proceedings of ISRS 2007
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    • pp.61-64
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    • 2007
  • Subsurface Internal Waves (IWs) can be detected in satellite images as periodic alternating brighter/darker stripes. It is known that there are two types of IWs - depression type and elevation type - depending on the water depth in stratified oceans. In this study, we have quantitatively verified the process of converting polarity from depression waves to elevation waves using ERS-2 SAR images acquired over the northern South China Sea. We simulated the evolution of IWs near a turning point with a numerical model for internal wave propagation. The simulation results near the turning point clearly showed us not only a conversion process of IWs from depression to elevation waves, but also a similar wave pattern with the observed SAR image. We also simulated SAR intensity variation near the turning point. The upper layer currents were computed at regular intervals using the numerical model, as the IWs were passing through the turning point. Then, an integrated hydrodynamic-electromagnetic model was used for simulating SAR intensity profiles from the upper layer currents at each position. The simulated SAR intensity profiles at each position were compared with the observed SAR intensities.

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The Robust Derivative Code for Object Recognition

  • Wang, Hainan;Zhang, Baochang;Zheng, Hong;Cao, Yao;Guo, Zhenhua;Qian, Chengshan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권1호
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    • pp.272-287
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    • 2017
  • This paper proposes new methods, named Derivative Code (DerivativeCode) and Derivative Code Pattern (DCP), for object recognition. The discriminative derivative code is used to capture the local relationship in the input image by concatenating binary results of the mathematical derivative value. Gabor based DerivativeCode is directly used to solve the palmprint recognition problem, which achieves a much better performance than the state-of-art results on the PolyU palmprint database. A new local pattern method, named Derivative Code Pattern (DCP), is further introduced to calculate the local pattern feature based on Dervativecode for object recognition. Similar to local binary pattern (LBP), DCP can be further combined with Gabor features and modeled by spatial histogram. To evaluate the performance of DCP and Gabor-DCP, we test them on the FERET and PolyU infrared face databases, and experimental results show that the proposed method achieves a better result than LBP and some state-of-the-arts.

미분법 단원에서 용어의 문제 (A Study on the Problem of Terminology in Calculus)

  • 한대희
    • 대한수학교육학회지:수학교육학연구
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    • 제8권2호
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    • pp.495-507
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    • 1998
  • This article intends to review what problems the terms in calculus have and how those problems are caused. For this purpose We make examinations on the considerations in the analysis of mathematical terminology, which includes the problems of general and technical terms, the meaning and the boundary of words, their consistency, the name and meaning, concept and their concept images, translations and qwerty effects. And in chapter 3, We analyse the textbook which are currently used, through which I was able to find out that the terms in calculus have some problems, In other words, the key terms such as "differentiable", "differential coefficient", "differential" have their roots in the term "differential" but the term "derived function" is very distinct from other terms and thus obstructs the consistency of terms. And the central term "differential" is being used without clear definition. In particular, the fact that "differential", when used in its arbitrary definition, has the image of "splitting minutely" can be an obstacle to understanding the exact concepts of calculus. In chapter 4, We make a review on the history of calculus and the term "differential" currently used in modern mathematics so that I can identify the origin of the problem connected with the usage of the term "differential". We should recognize the specified problems and its causes and keep their instructional implications in mind. Furthermore, following researches and discussions should be made on whether the terminology system of calculus should be reestablished and how the reestablishment should be made.e terminology system of calculus should be reestablished and how the reestablishment should be made.

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실내 정밀 매핑을 위한 회전식 스테레오 라인 카메라 시스템의 캘리브레이션 (Calibration of a Rotating Stereo Line Camera System for Indoor Precise Mapping)

  • 오소정;신진수;강정인;이임평
    • 대한원격탐사학회지
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    • 제31권2호
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    • pp.171-182
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    • 2015
  • 본 연구는 실내 정밀 매핑과 정교한 영상 기반 서비스에 활용 가능한 실내의 입체 전방위 영상을 취득하는 시스템과 이에 대한 캘리브레이션 방법을 제안한다. 제안된 시스템은 회전식 스테레오 라인 카메라 방식으로 구성되며, 안정적인 입체시와 객체점의 정밀한 결정에 적합한 입체 전방위 영상을 제공한다. 또한, 제안된 시스템의 투영모델을 기반으로 캘리브레이션을 위한 수학적 모델을 도출한다. 이를 통해 캘리브레이션을 수행하여, 실내 공간에 대해 ${\pm}16cm$ 이내의 정확도로 객체점을 추정할 수 있었다. 제안된 시스템과 캘리브레이션 방법은 실내의 정밀한 3차원 모델링에 활용될 것이다.

COMPARISON OF DIFFERENT NUMERICAL SCHEMES FOR THE CAHN-HILLIARD EQUATION

  • Lee, Seunggyu;Lee, Chaeyoung;Lee, Hyun Geun;Kim, Junseok
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제17권3호
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    • pp.197-207
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    • 2013
  • The Cahn-Hilliard equation was proposed as a phenomenological model for describing the process of phase separation of a binary alloy. The equation has been applied to many physical applications such as amorphological instability caused by elastic non-equilibrium, image inpainting, two- and three-phase fluid flow, phase separation, flow visualization and the formation of the quantum dots. To solve the Cahn-Hillard equation, many numerical methods have been proposed such as the explicit Euler's, the implicit Euler's, the Crank-Nicolson, the semi-implicit Euler's, the linearly stabilized splitting and the non-linearly stabilized splitting schemes. In this paper, we investigate each scheme in finite-difference schemes by comparing their performances, especially stability and efficiency. Except the explicit Euler's method, we use the fast solver which is called a multigrid method. Our numerical investigation shows that the linearly stabilized stabilized splitting scheme is not unconditionally gradient stable in time unlike the known result. And the Crank-Nicolson scheme is accurate but unstable in time, whereas the non-linearly stabilized splitting scheme has advantage over other schemes on the time step restriction.

SPECTROSCOPIC ADMITTIVITY IMAGING OF BIOLOGICAL TISSUES: CHALLENGES AND FUTURE DIRECTIONS

  • Zhang, Tingting;Bera, Tushar Kanti;Woo, Eung Je;Seo, Jin Keun
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제18권2호
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    • pp.77-105
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    • 2014
  • Medical imaging techniques have evolved to expand our ability to visualize new contrast information of electrical, optical, and mechanical properties of tissues in the human body using noninvasive measurement methods. In particular, electrical tissue property imaging techniques have received considerable attention for the last few decades since electrical properties of biological tissues and organs change with their physiological functions and pathological states. We can express the electrical tissue properties as the frequency-dependent admittivity, which can be measured in a macroscopic scale by assessing the relation between the time-harmonic electric field and current density. The main issue is to reconstruct spectroscopic admittivity images from 10 Hz to 1 MHz, for example, with reasonably high spatial and temporal resolutions. It requires a solution of a nonlinear inverse problem involving Maxwell's equations. To solve the inverse problem with practical significance, we need deep knowledge on its mathematical formulation of underlying physical phenomena, implementation of image reconstruction algorithms, and practical limitations associated with the measurement sensitivity, specificity, noise, and data acquisition time. This paper discusses a number of issues in electrical tissue property imaging modalities and their future directions.

임베디드시스템을 위한 고속 눈검출 알고리즘 (Fast Eye-Detection Algorithm for Embedded System)

  • 이승익
    • 한국산업정보학회논문지
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    • 제12권4호
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    • pp.164-168
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    • 2007
  • 본 논문에서 임베디드시스템에 적용 가능한 눈 검출 알고리즘을 제안하였다. 특히, 감시카메라나 자동현금인출장치 또는 운전자의 졸음운전방지를 위한 눈 검출에서는, 주로 정면얼굴에서의 눈 검출이 이루어지므로 본 논문에서는 이러한 조건을 목표로 눈 검출 알고리즘을 제안하였다. 눈영역을 검출하기 위해, 특성백터를 먼저 추출하고 그 다음, 주성분 분석법 및 진폭투시법에 의해 전체 특성백터를 구성한다. 이렇게 구성된 특성백터들의 공분산을 구한 후, 판별단계에서 베이즈 방법에 의해 구해진 확률분포함수를 이용하여 정면얼굴의 눈 영역 부분을 검출한다. 또한 본 논문에서 제안한 판별 알고리즘을 이용하여 입력영상의 눈영역을 찾기 위한 실험식도 제안하였다. 모의 실험결과 정면얼굴에서의 눈검출율은 매우 높았으며 계산을 위한 특성백터 또한 적음으로써 실시간 특성을 요하는 임베디드시스템에 적용 가능함을 알 수 있었다.

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A Spline-Regularized Sinogram Smoothing Method for Filtered Backprojection Tomographic Reconstruction

  • Lee, S.J.;Kim, H.S.
    • 대한의용생체공학회:의공학회지
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    • 제22권4호
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    • pp.311-319
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    • 2001
  • Statistical reconstruction methods in the context of a Bayesian framework have played an important role in emission tomography since they allow to incorporate a priori information into the reconstruction algorithm. Given the ill-posed nature of tomographic inversion and the poor quality of projection data, the Bayesian approach uses regularizers to stabilize solutions by incorporating suitable prior models. In this work we show that, while the quantitative performance of the standard filtered backprojection (FBP) algorithm is not as good as that of Bayesian methods, the application of spline-regularized smoothing to the sinogram space can make the FBP algorithm improve its performance by inheriting the advantages of using the spline priors in Bayesian methods. We first show how to implement the spline-regularized smoothing filter by deriving mathematical relationship between the regularization and the lowpass filtering. We then compare quantitative performance of our new FBP algorithms using the quantitation of bias/variance and the total squared error (TSE) measured over noise trials. Our numerical results show that the second-order spline filter applied to FBP yields the best results in terms of TSE among the three different spline orders considered in our experiments.

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Analysis on Preceding Study of Consumer's Store-Choice Model: Focusing on Commercial Sphere Analysis Theories

  • Quan, Zhi-Xuan;Youn, Myoung-Kil
    • 산경연구논집
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    • 제7권4호
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    • pp.11-16
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    • 2016
  • Purpose - There are numerous theories for retail trade area analysis which are designed to select candidate locations for new stores. In this study, comparative analysis on the characteristics from those of the theories are shown, and the explanation for the power in consumers' store-choice behaviors and their limitations are examined. Also, plans for improving commercial sphere analysis are explored. Research design, data, and methodology - This study is based on literature reviews with normative research methodology. Among many researches regarding the analysis on the location and commercial sphere for launching a new store, researches relying on statistics are excluded in this study since they belong to the marketing research area,. Results - In the Law of retail gravitation, Huff's model multinomial logit model and etc. are mutual complementary mathematical techniques for analyzing commercial spheres and each of them has its own characteristics. These theories rely on the same hypothesis in which consumers are all believed to be behaving rationally under a similar behavioral system. However, the trial in explaining or estimating behavior of choosing a store with only a select size of the population that is objectively estimated by some major properties has limits in its credibility. Conclusion - Research on consumer's spatial behaviors can be fully illustrative and explainable when it has both quantitative approaches such as 'law of retail gravitation', 'logit model' and etc., and qualitative approaches like consumer's 'cognitive structure', 'learning status', 'image formation', 'attitude' and etc.