• The Journal of the Korea Contents Association
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• v.13 no.10
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• pp.1-8
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• 2013

In this paper, we propose a new method to correct the perspective distortion that occurs in the process of acquiring the integral images. In the proposed method, the distortion correction is based on the spectral characteristics of integral images. As element images of an integral image are repeated nearly periodically, its Fourier spectrum is given as an impulse train. On the contrary, the impulse train do not appear in the spectra of distorted images. In the proposed method, therefore, the perspective distortion parameters are detected by using the characteristics of the spectrum obtained through the Fourier transform, and then the distorted images are corrected by using the parameters. Through experiments, we verify that the proposed method effectively works for the perspective distortion correction.

• The Journal of the Acoustical Society of Korea
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• v.22 no.5
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• pp.345-350
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• 2003

Acoustic intensity is usually estimated by the cross-spectrum of acoustic pressure at two adjacent microphones. The cross-spectrum calculated by digital Fourier transform technique will unavoidably have leakage error since the period of signal will not be usually coincident with record length. Therefore, the acoustic intensity estimated by the conventional FFT analyzer will show distorted value. In this paper, the expression of the Fourier transformed data of a harmonic signal with a single frequency is formulated when there is leakage error. The method to eliminate the effect of leakage error from the contaminated data is also proposed. Some numerical examples show the validation of the proposed method.

• Smart Media Journal
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• v.8 no.2
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• pp.16-20
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• 2019

Fast Fourier Transform in the vibration acceleration analysis system has recently been utilized in the field of sensor measurement. In this paper, we propose a Fast Fourier Transform based method of detecting the normal frequency among the many frequency types of diffuse field. This normal frequency is expressed by the formula of frequency damping recognition which is calculated in a similar way to the octave center frequency. Based on this theory, this paper can more accurately inform noise producers of the degree of damping, which is different from the vibration type of diffuse field.

• Proceedings of the Korea Water Resources Association Conference
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• 2022.05a
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• pp.400-400
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• 2022

관로 내 빈번히 발생하는 수격압의 발생은 관망 구조물에 피로가 누적되고 관벽에 손상을 발생시켜, 관로 내 누수가 다양한 형태로 생성된다. 관 내 누수가 발생되는 경우 관 내부의 수격압의 발생 시 생성되는 부압으로 인하여 외부 물질이 관으로 흡수되거나 혼합되어 스케일과 미생물의 생성되는 등 관 내의 수질에 악영향을 끼치며 마찰을 증가시켜 통수능이 감소하고 관리에 추가적인 비용을 발생시킨다. 이러한 영향을 방지하기 위해 관 내에서 생성되는 누수를 탐지하기 위하여 수격압을 발생시켜 압력파를 분석하거나 추적을 수행하는 여러 가지 연구들이 수행되었다. 본 연구에서는 현장 관망과 연결된 100A 대구경 관로에 관로 수압 발생장치를 연결하여 기존의 수격압을 발생시켜 분석하는 방법 대신 안전하고 용이한 방법인 압력파를 주입하여 실험을 수행하였다. 실험을 통해 획득한 데이터를 시간상에서 분석하고 Fourier 변환을 통한 빈도상 분석과 Wavelet 분석으로 신호주기에서 누수가 미치는 영향을 파악하였다. 실험 결과에서는 누수에 의한 영향으로 반사파가 직접적으로 변형되는 형태보다 시스템 전체에서 반영되어 수두가 감쇠되는 형태로 나타났다. Fourier 변환을 통해 무누수 조건과 누수조건의 비교에서 누수의 유무에 따른 신호의 형태가 차이를 보였다. 앞선 연구들에서의 누수의 특정한 위치를 찾아내는 형태 대신 신호처리 후 분석을 통해 시스템 전체에서 일어나는 감쇠를 통해 누수 존재 유무를 판별하고자 한다.

• Journal of KIISE:Computer Systems and Theory
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• v.26 no.6
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• pp.662-669
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• 1999

Digital watermarking이란 영상이나 비디오, 오디오, 텍스트 등의 저작물에 잘 식별되지 않는 표시를 삽입하여 저작권을 보호하는 방법으로 소유권자의 동의없이 저작물을 배포, 복사되는 것을 방지하는 법이다. 본 논문은 watermark를 삽입하기 위해서 sin과 cos 함수를 이용한 Fourier 급수전개를 이용하였다. 우선 , 원 이미지를 주파수 영역으로 변환한 다음 watermark를 삽입할 위치를 M $\times$Nro의 Random Sequence를 발생하여 결정하였으며, M개의 파형을 가장 직교성이 좋다고 하는 sin 함수와 cos 함수를 이용하여 Fourier 급수전개를 하였다. 이 때, sin과 cos의 n의 고조파 역시 Random Sequence를 발생하여 결정하였다. 제안한 알고리즘은 이와 같이 Fourier 급수전개를 했을 때 각 항의 Fourier 계수를 산출하여 이 Fourier 계수에 watermark를 삽입하였다. 실험 결과 JPEG 압축, Blurring, 노이즈삽입 등의 이미지 왜곡에 대하여 watermark 상관관계가 최소 0.1979에서 최대 0.9732까지의 견고성(robustness)을 보였다.

• Journal of the Institute of Electronics and Information Engineers
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• v.52 no.8
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• pp.67-73
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• 2015

In a distribution of digital image, there is a serious problem that is the image alteration by a forger. For the problem solution, this paper proposes the forensic decision algorithm of a median filtering (MF) image using the feature vector based on a coefficient of variation (c.v.) of Fourier transform. In the proposed algorithm, we compute Fourier transform (FT) coefficients of row and column line respectively of an image first, then c.v. between neighboring lines is computed. Subsquently, 10 Dim. feature vector is defined for the MF detection. On the experiment of MF detection, the proposed scheme is compared to MFR (Median Filter Residual) and Rhee's MF detection schemes that have the same 10 Dim. feature vector both. As a result, the performance is excellent at Unaltered, JPEG (QF=90), Down scaling (0.9) and Up scaling (1.1) images, and it showed good performance at Gaussian filtering ($3{\times}3$) image. However, in the performance evaluation of all measured items of the proposed scheme, AUC (Area Under ROC (Receiver Operating Characteristic) Curve) by the sensitivity and 1-specificity approached to 1 thus, it is confirmed that the grade of the performance evaluation is rated as 'Excellent (A)'.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2004.05b
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• pp.241-246
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• 2004

Medical images are being managed more by PACS in general medical institutions. It is important to protect patients from being invaded their privacy related to the images. It is also necessary to confirm the ownership, the right of properity of the medical images and notice whether the data are modified. In this paper, we propose a robust watermarking against RST attacks in medical images on the PACS. The proposed scheme modifies and improves Log-Polar Mapping and Fourier Mellin Transform in order to realize and recover serious image degradation and watermark data loss caused by the conversion between cartesian coordinate and log-polar coordinate. We used the radius and theta Look Up Table to solve the realization of the Fourier Mellin Transform, and inserted a watermark into 2D-DFT magnitudes using Spread Spectrum. Experimental results shows that this method are robust to several attack.

• Journal of Korean Academy of Oral and Maxillofacial Radiology
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• v.28 no.2
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• pp.339-353
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• 1998

The purpose of this study was to investigate whether a radiographic estimate of osseous fractal dimension and power spectrum of 2D discrete Fourier transform is useful in the characterization of structural changes in bone. Ten specimens of bone were decalcified in fresh 50 ml solutions of 0.1 N hydrochloric acid solution at cummulative timed periods of 0 and 90 minutes. and radiographed from 0 degree projection angle controlled by intraoral parelleling device. I performed one-dimensional variance. fractal analysis of bony profiles and 2D discrete Fourier transform. The results of this study indicate that variance and fractal dimension of scan line pixel intensities decreased significantly in decalcified groups but Fourier spectral analysis didn't discriminate well between control and decalcified specimens.

• Journal of KSNVE
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• v.6 no.6
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• pp.771-779
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• 1996

In this paper, double Fourier sine series is used as a modal displacement functions of a rectangular plate and applied to the free vibration analysis of a rectangular plate under various boundary conditions. The method of stationary potential energy is used to obtain the modal displacements of a plate. To enhance the flexibility of the double Fourier sine series, Lagrangian multipliers are utilized to match the geometric boundary conditions, and Stokes' transformation is used to handle the displacements that are not satisfied by the double Fourier sine series. The frequency parameters and mode shapes obtained by the present method are compared with those obtained by MSC/NASTRAN and other analysis.

• Proceedings of the KIEE Conference
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• 1998.07a
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• pp.64-66
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• 1998

This paper presents a new efficient method for transient analysis in magnetodynamic systems of linear eddy current problems. This mehtod employs the Fourier transform and the high-order frequency sensitivity of harmonic finite element method. By taking into account the time-constant of magnetodynamic system, the Fourier integral of continuous frequency is converted into the Fourier series of discrete frequency. And with the results of Fourier series expansion of converted input wave form, the responses of each sinusoids is superposed to give the total response of the magnetodynamic systems. But, if the frequency band of input wave form is broad, it takes long computational time since all responses for each sinusoids must be calculated. Therefore, the high-order frequency sensitivity method is employed to estimate the response variation to frequency. The proposed algorithm is applied to an induction heating system to validate its numerical efficiency.