• Journal of the Institute of Electronics and Information Engineers
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• v.52 no.11
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• pp.147-155
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• 2015

For the image processing system to be classified the selected object in the nature, the rotation, scale and transition invariant features is to be necessary. There are many investigations to get the information for the object processing system and the log-polar transform which is to be get the invariant feature for the scale and rotation is used. In this paper, we suggested the 2 points polar coordinate transform methods to measure the selected object position out of the center in input image including the centroid method. In this proposed system, the position results of objects are very good, and we obtained the similarity ratio 99~104% for the object coordinate values.

• Proceedings of the Korea Contents Association Conference
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• 2003.11a
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• pp.407-413
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• 2003

To connect the gap on the contours at the summit area, we propose the linear interpolation in the polar coordinates. The results of appling both existing algorithms and proposed method to some graphic images, the proposed interpolation method was superior. Also by generating a new curve having similar appearance of neighboring contours, the connected contours were reconstructed naturally.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2010.07a
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• pp.195-197
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• 2010

본 논문은 기존 평행좌표를 이용하는 얼굴 영상 대신 극좌표계 변환을 이용한 얼굴 영상을 이용하여 회전에 강인한 얼굴인식 방법을 제안한다. 극좌표계 변환 방법은 얼굴의 중심부분의 한 점을 극으로 삼아 이 점을 기준으로 360도 각 방향으로 일정 길이만큼 얼굴 영상을 샘플링 하여 새로운 얼굴 영상을 제작하는 방법이다. 이 극좌표계 변환 방법을 이용해 재구성된 영상에 대해 회귀( regression )문제 해결을 위해 변형된 LDA인 LDAr(LDA for regression)을 이용하여 얼굴의 중심부분의한 점인 극을 중심으로 임의의 각도로 회전된 영상의 회전 정도를 추정하여 이를 정규화 시키는 방법을 통해 얼굴 인식의 인식률을 향상시키고자 한다. LDAr은 LDA의 기본개념인 각 클래스 간 떨어진 정도를 최대화하는 것이 목적으로 클래스간 분산과 클래스내 분산의 비율을 최대화 하는 방법을 응용하여 이를 회귀문제에 적용할 수 있게 변형을 한 것이다. 즉, LDAr은 목표값(target)의 차이가 큰 샘플들과 목표값의 차이가 작은 샘플들 간의 거리의 비율을 최대화 하는 것을 목적으로 하게 된다. 제안된 방법을 Yale데이터에 적용하여 임의의 각도로 회전시킨 영상에 대해 회전 각도를 정확히 찾아내는 것을 확인할 수 있었다.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.45 no.4
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• pp.20-28
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• 2008

We propose a radial image processing method in a discrete polar coordinate system based on L1-norm. For this purpose, we first verified that the polar coordinate based on L2-norm can not exist in discrete system and then develop a method converting the Cartesian coordinate to the discrete polar coordinate. We apply the proposed method to smooth mass images of breast tissue and to detect the boundaries of extremely deformable objects. Compared to the Gaussian smoothing method performed in the Cartesian coordinate system, the proposed method stabilized the image signal while maintaining the overall radial shape of mass images. The proposed boundary detection method can detect shapes with high precision while conventional edge detectors can not accurately detect the shape of deformable objects. We also exploit the method to perform pupil detection and have had good experimental results.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.25 no.7
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• pp.896-902
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• 2021

Rotated face detection is required in many applications but still remains as a challenging task, due to the large variations of face appearances. In this paper, a polar coordinate transform that is not affected by rotation is proposed. In addition, a method for effectively detecting rotated faces using the transformed image has been proposed. The proposed polar coordinate transform maintains spatial information between facial components such as eyes, mouth, etc., since the positions of facial components are always maintained regardless of rotation angle, thereby eliminating rotation effects. Polar coordinate transformed images are trained using AdaBoost, which is used for frontal face detection, and rotated faces are detected. We validate the detected faces using LBP that trained the non-face images. Experiments on 3600 face images obtained by rotating images in the BioID database show a rotating face detection rate of 96.17%. Furthermore, we accurately detected rotated faces in images with a background containing multiple rotated faces.

• The Journal of the Korea Contents Association
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• v.5 no.1
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• pp.127-134
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• 2005

To connect the gap on the contours at the summit area, we propose the linear interpolation in the polar coordinates. Tn the experiments of applying both existing algorithms and a proposed method to some graphic images, the proposed method generated curves that average MAE was 1.940 pixels. In particular, our method with MAE of 1.240 on real map image was superior than the others. Also by generating new curves with neighbors-resembled appearance, the contours were reconstructed seamlessly.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.257-266
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• 2004

자연의 세계에서 나뭇잎, 돌기물, 구름, 해안선, 곤충의 모습 등에 내재하고 있는 아름다움은 흔히 균형성, 대칭성, 다양성 등으로부터 비롯된다. 자연 현상은 복소수를 활용하여 극좌표 표현으로 묘사되는 경우가 많다. 본 논문에서는 1989년 Temple H. Fay가 Amer. Math. Monthly 96(5)호에서 발표한 나비곡선 r= e$^{cos{\theta}}$-2cos4${\theta}$+sin$^5$($\frac{\theta}{12}$)의 기하학적 성질을 대칭 이동, 회전 이동, 수치적분, 미분, 극좌표계, 삼각함수, 지수함수 및 매개함수의 표현 등 고등학교 및 대학의 미적분학 관점에서 살펴 보고 극좌표 도형에 관한 흥미 유발과 더불어 컴퓨터 활용 방법을 제시하기로 한다. 수학전문 소프트웨어인 매스매티카를 활용하여 나비곡선의 작도 및 기하학적 성질을 분석하고자 한다.

• Journal of the Korean Institute of Intelligent Systems
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• v.26 no.5
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• pp.375-382
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• 2016

In this paper, we presents a signatures verification by using the nonlinear quantization histogram of polar coordinate based on multi-dimensional adjacent pixel intensity difference. The multi-dimensional adjacent pixel intensity difference is calculated from an intensity difference between a pair of pixels in a horizontal, vertical, diagonal, and opposite diagonal directions centering around the reference pixel. The polar coordinate is converted from the rectangular coordinate by making a pair of horizontal and vertical difference, and diagonal and opposite diagonal difference, respectively. The nonlinear quantization histogram is also calculated from nonuniformly quantizing the polar coordinate value by using the Lloyd algorithm, which is the recursive method. The polar coordinate histogram of 4-directional intensity difference is applied not only for more considering the corelation between pixels but also for reducing the calculation load by decreasing the number of histogram. The nonlinear quantization is also applied not only to still more reflect an attribute of intensity variations between pixels but also to obtain the low level histogram. The proposed method has been applied to verified 90(3 persons * 30 signatures/person) images of 256*256 pixels based on a matching measures of city-block, Euclidean, ordinal value, and normalized cross-correlation coefficient. The experimental results show that the proposed method has a superior to the linear quantization histogram, and Euclidean distance is also the optimal matching measure.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 1993.04a
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• pp.128-133
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• 1993

본 연구에서는 보강 원통쉘에 대하여 주위 유체의 영향을 고려하여 진동 및 음향방사를 해석하였다. 원통셀의 운동방정식은 Donnell 이론을 적용하였으 며, Contour 적분을 풀지 않고 FFT 알고리즘(Fast Fourier Transform Algorithm)을 이용하여 원통쉘의 진동을 계산하였다. 현재까지의 방사패턴에 관한 연구는 주로 원주 방향에 집중되어 왔으나, 보강 원통쉘의 방사패턴은 원추파 모형에 가까우므로 극좌표 .theta. 방향에 대한 음향방사 패턴에 관한 연구가 이루어져야 한다. 그러므로, 본 연구에서는 극좌표에 관한 방사패턴 에 관하여 주로 고찰하였다.

• KIISE Transactions on Computing Practices
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• v.22 no.10
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• pp.537-545
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• 2016

Demand for text arranged in a circular shape is increasing as devices with round display such as smart watches are now being actively released. Data visualization field is receiving a lot of attention as the era of big data evolves. However, current web standard does not support the drawing of circular text. Therefore, the objective of this study was to extend CSS3 specifications to have circular text layout in web documents. In addition, we implemented a preprocessor so that contents made with CSS3 extensions could be shown in existing browsers. To confirm the wide expression range of CSS3 extension, we prepared some sample contents and analyzed them.