• The Journal of Engineering Research
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• v.8 no.1
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• pp.51-57
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• 2006

We propose efficient methods for implementing 3-D reconstruction algorithms for Compton camera. Since reconstructing Compton scattered data involves the surface integral over the cone associated with the measurement bin, it is crucial to develop a computationally efficient surface integration method. In this work we assume that a cone is made up of a series of ellipses (or circles) stacked up one o top of the other. In order to reduce computational burden for tracing ellipses formed by the intersection of a cone and an image plane, we construct a series of imaginary planes perpendicular to the cone axis so that each plane contains a circle, not an ellipse. In this case the surface integral can be performed by adding uniform samples along each circle. The experimental results demonstrate that our method using imaginary planes significantly improves computational efficiency while keeping reconstruction accuracy.

• 한국정보디스플레이학회:학술대회논문집
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• 2006.08a
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• pp.1569-1574
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• 2006

We have studied elemental image compatibility between integral imaging(II) and parallax generation(PG) system for three-dimensional display. The elemental images of PG can be obtained by recombination of the elemental images picked up in II system. The theoretical verification and the experimental results show that the elemental images of PG are in correspondence with the elemental images of II system with proper transformation conditions.

• Journal of the Korean Society for Nondestructive Testing
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• v.32 no.3
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• pp.296-301
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• 2012

This paper describes an analytic method for infrared thermography to detect surface cracks in thin plates. Traditional thermographic method uses the spatial contrast of a thermal field, which is often corrupted by noise in the experiment induced mainly by emissivity variations of target surfaces. This study developed a robust analytic approach to crack detection for thermography using the holomorphic function of a temperature field in thin plate under steady-state thermal conditions. The holomorphic function of a simple temperature field was derived for 2-D heat flow in the plate from Cauchy-Riemann conditions, and applied to define a contour integral that varies depending on the existence and strength of singularity in the domain of integration. It was found that the contour integral at each point of thermal image reduced the noise and temperature variation due to heat conduction, so that it provided a clearer image of the singularity such as cracks.

• Journal of the Optical Society of Korea
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• v.8 no.3
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• pp.115-121
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• 2004

In this paper, we propose a new algorithm to generate elemental images in a computer generated integral imaging system. By comparing the computing time of this algorithm with that of the existing algorithm, we prove the efficiency of this algorithm. Two more algorithms considering the finite size of each pixel are also proposed. These algorithms enhance the quality of the integrated image while generating the elemental image as fast as the existing algorithm.

• Communications of the Korean Mathematical Society
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• v.37 no.4
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• pp.1055-1072
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• 2022

Our aim is to establish certain image formulas of the (p, 𝜈)-extended Gauss' hypergeometric function F_p,𝜈(a, b; c; z) by using Saigo's hypergeometric fractional calculus (integral and differential) operators. Corresponding assertions for the classical Riemann-Liouville(R-L) and Erdélyi-Kober(E-K) fractional integral and differential operators are deduced. All the results are represented in terms of the Hadamard product of the (p, 𝜈)-extended Gauss's hypergeometric function F_p,𝜈(a, b; c; z) and Fox-Wright function _rΨ_s(z). We also established Jacobi and its particular assertions for the Gegenbauer and Legendre transforms of the (p, 𝜈)-extended Gauss' hypergeometric function F_p,𝜈(a, b; c; z).

• Honam Mathematical Journal
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• v.43 no.2
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• pp.167-181
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• 2021

In this paper, the Saigo's k-fractional integral and derivative operators involving k-hypergeometric function in the kernel are applied to the generalized k-Bessel function; results are expressed in term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Bessel functions are considered.

• Proceedings of the Korea Information Processing Society Conference
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• 2010.11a
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• pp.605-608
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• 2010

두 영상에서 특징점을 추적하기 위하여 특징점을 중심으로 $N{\times}N$ 크기 윈도우 패치의 SSD 값을 비교하는 방법을 사용한다. 그러나 영상에서 다수의 특징점이 추출되어 매칭을 시도하는 경우 많은 처리 시간을 필요로 한다. 처리 시간의 증가는 실시간 처리를 어렵게 만든다. 이러한 문제를 해결하기 위하여 적분 영상(integral image)을 사용하여 매칭 가능성이 높은 특징점을 필터링하여 SSD 매칭의 처리 시간을 단축시키는 방법을 제안한다. 본 논문에서 제안한 적분 영상을 사용한 특징점 필터링을 적용한 방법과 기존의 SSD 매칭 방법을 비교 실험하여 특징점 매칭의 처리 시간을 절감하는 결과를 얻을 수 있었다.

• Journal of the Korean Institute of Telematics and Electronics
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• v.24 no.2
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• pp.324-330
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• 1987

The registration is an important part of image processing and pattern recognition. In this paper, the integral projection method is proposed as the first stage of the two-stage template matching. The computation time of the proposed method is one-tenth of that of the two-stage template matching technique with a sub-template. This method is applied to a noisy (real)image with a different bias level and gives a correct template position, while the two-stage template matching technique with a sub-template cannot detect correctly.

• 한국정보디스플레이학회:학술대회논문집
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• 2009.10a
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• pp.1363-1366
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• 2009

A new recognition method is used to find the three-dimensional target object on integral imaging. For finding the location of a target image, amount of reconstructed reference image is needed. This method is giving accurate information of target image by correlated among reconstructed target images and reference images.

• The Transactions of the Korean Institute of Electrical Engineers
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• v.40 no.12
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• pp.1296-1301
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• 1991

This paper presents a hybrid image mode Galerkin method for the analysis of the transmission line structures suspended between infinite parallel ground planes. A Green's function that consists of numerically accelerated image mode terms is developed, which is used in boundary integral equation. Transmission lines of arbitrary cross section are analyzed using Galerkin's method. Two kinds of configurations of transmission lines are studied in sample problems.