• KSII Transactions on Internet and Information Systems (TIIS)
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• 제12권5호
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• pp.2273-2286
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• 2018

This paper describes transformations between elemental image arrays and a RGBD image for three-dimensional integral imaging and transmitting systems. Two transformations are introduced and analyzed in the proposed method. Normally, a RGBD image is utilized in efficient 3D data transmission although 3D imaging and display is restricted. Thus, a pixel-to-pixel mapping is required to obtain an elemental image array from a RGBD image. However, transformations and their analysis have little attention in computational integral imaging and transmission. Thus, in this paper, we introduce two different mapping methods that are called as the forward and backward mapping methods. Also, two mappings are analyzed and compared in terms of complexity and visual quality. In addition, a special condition, named as the hole-free condition in this paper, is proposed to understand the methods analytically. To verify our analysis, we carry out experiments for test images and the results indicate that the proposed methods and their analysis work in terms of the computational cost and visual quality.

• 대한수학회지
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• 제48권1호
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• pp.133-146
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• 2011

We employ a hyperbolic tangent function to construct nonlinear transformations which are useful in numerical evaluation of weakly singular integrals and Cauchy principal value integrals. Results of numerical implementation based on the standard Gauss quadrature rule show that the present transformations are available for the singular integrals and, in some cases, give much better approximations compared with those of existing non-linear transformation methods.

• 수학
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• 제4권1호
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• pp.1-4
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• 1967

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제27권3호
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• pp.194-206
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• 2023

We present families of nonlinear transformations useful for numerical evaluation of weakly singular integrals. First, for end-point singular integrals, we define a prototype function with some appropriate features and then suggest a family of transformations. In addition, for interior-point singular integrals, we develop a family of nonlinear transformations based on the aforementioned prototype function. We take some examples to explore the efficiency of the proposed nonlinear transformations in using the Gauss-Legendre quadrature rule. From the numerical results, we can find the superiority of the proposed transformations compared to some existing transformations, especially for the integrals with high singularity strength.

• Kyungpook Mathematical Journal
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• 제22권2호
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• pp.309-315
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• 1982

• 대한수학회보
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• 제40권3호
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• pp.399-410
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• 2003

The purpose of the present paper is to introduce some new subclasses of strongly close-to-convex functions in the open unit disk defined by multiplier transformations and study their properties. Our results include several previous known results as special cases.

• 전기전자학회논문지
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• 제18권2호
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• pp.255-262
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• 2014

The uncertain integral linear system is the integral-augmented uncertain system to improve the resultant performance. In this note, for a MI(Multi Input) uncertain integral linear case, Utkin's theorem is proved clearly and comparatively. With respect to the two transformations(diagonalizations), the equation of the sliding mode is invariant. By using the results of this note, in the SMC for MIMO uncertain integral linear systems, the existence condition of the sliding mode on the predetermined sliding surface is easily proved. The effectiveness of the main results is verified through an illustrative example and simulation study.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2000년도 하계학술대회 논문집 D
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• pp.2678-2680
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• 2000

In this paper, we calculates mathematical model of ex-core neutron flux monitoring system for nuclear reactor and design the digital system using the bilinear transformations. The output pulse shape and resolving time of the system determines from the proposed method.

• Applied Microscopy
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• 제32권3호
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• pp.195-204
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• 2002

TEM 이론의 기초가 되는 델타함수, 콘볼루션 적분, 퓨리에 변환에 관한 개념을 소개하고 이에 대한 응용으로 슬릿함수, 현저한 폭을 갖는 2개의 슬릿, 유한 크기의 파동 train, 좁은 슬릿의 주기적인 배열, 임의의 주기 함수, diffraction grating, 회절 격자, 그리고 gaussian 함수에서의 퓨리에 변환에 관한 수학적인 방법의 적용을 소개하였다.

• East Asian mathematical journal
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• 제16권2호
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• pp.225-231
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• 2000

The purpose of the present paper is to introduce a new class $\mathcal{P}_{n,p}(\alpha)$ of analytic functions defined by a multiplier transformation and to investigate some properties for the class $\mathcal{P}_{n,p}(\alpha)$.Furthermore, we consider an integral of functions belonging to the class $\mathcal{P}_{n,p}(\alpha)$.