• Bulletin of the Korean Mathematical Society
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• v.48 no.6
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• pp.1137-1146
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• 2011

Let {$X_i$, $i{\geq}1$} be a sequence of i.i.d. nondegenerate random variables which is in the domain of attraction of the normal law with mean zero and possibly infinite variance. Denote $S_n={\sum}_{i=1}^n\;X_i$, $M_n=max_{1{\leq}i{\leq}n}\;{\mid}S_i{\mid}$ and $V_n^2={\sum}_{i=1}^n\;X_i^2$. Then for d > -1, we showed that under some regularity conditions, $$\lim_{{\varepsilon}{\searrow}0}{\varepsilon}^2^{d+1}\sum_{n=1}^{\infty}\frac{(loglogn)^d}{nlogn}I\{M_n/V_n{\geq}\sqrt{2loglogn}({\varepsilon}+{\alpha}_n)\}=\frac{2}{\sqrt{\pi}(1+d)}{\Gamma}(d+3/2)\sum_{k=0}^{\infty}\frac{(-1)^k}{(2k+1)^{2d+2}}\;a.s.$$ holds in this paper, where If g denotes the indicator function.

• Journal of applied mathematics & informatics
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• v.25 no.1_2
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• pp.495-503
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• 2007

Symmetric interpolating refinable function vectors with compact support are of interest in several applications such as signal processing, image processing and computer graphics. It is known in [13] that orthogonal interpolating refinable function vectors can not be symmetric for multiplicity r = 2 and dilation d = 2. In this paper, we shall investigate symmetric interpolating refinable function vectors with compact support for multiplicity r = 2 and dilation d = 2 by omitting orthogonality. To illustrate our theorems and results in this paper, we shall also present some examples of symmetric interpolating refinable function vectors with compact support and high order of sum rules.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.35 no.1B
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• pp.35-41
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• 2010

In this paper, we propose a 3D view design scheme which arranges 2D information in a 3D virtual space with a flexible interface and voice information. The scheme allows the user interface of the 2D image in 3D virtual space anytime from any view point. Voice information can be easily attached. It is this simple and efficient image and voice information arrangement in 3D virtual space that improves information transfer.

• The Bulletin of The Korean Astronomical Society
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• v.40 no.1
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• pp.64.2-64.2
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• 2015

We present a comprehensive catalog of 307 front-side halo (partial and full) CMEs during 2009 and 2013 observed by both SOHO and STEREO. This catalog includes 2D CME properties from single spacecraft (SOHO) as well as 3D ones from multi-spacecraft. To determine the 3D CME properties (speed, angular width, and source location), we use the STEREO CME analysis tool based on a triangulation method. In this paper, we compare between 2D and 3D CME properties, which is the first statistical comparison between them. As a result, we find that 2D speeds tend to be about 20% underestimated when compared to 3D ones. The 3D angular width ranges from $15^{\circ}$ to $109^{\circ}$, which are much smaller than the 2D angular widths with the mean value of $225^{\circ}$. We also find that a ratio between 2D and 3D angular width decreases with central meridian distance. The 3D source locations from the triangulation method are similar to the flare locations. The angular width-speed relationship in 3D is much stronger than that in 2D.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.38C no.11
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• pp.1010-1018
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• 2013

The dual-stream based stereoscopic 3D broadcasting standard was developed in 2011. EBS broadcasted 3DTV experimental service according to this standard in April 2012. Dual-stream based 3DTV broadcasting is service-compatible and backward-compatible, so viewers who have legacy 2D HDTV can watch the broadcasting content as 2D. And 3DTV viewers can select watching 2D or 3D. Since 3D content production is not usual yet for terrestrial broadcasters, only some particular programs in specific periods will be broadcasted as 3D at the initiatory stage. For it, stable viewing condition is strongly required for both 2D viewers and 3D viewers. This paper suggests broadcasting transmission system structure and effective switching scheme for stable 2D and 3D viewing conditions in the case of dual-stream based terrestrial 3DTV broadcasting.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.32 no.10C
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• pp.982-989
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• 2007

In this paper, we propose a 3DTV system that considers user's view point and display environment. The proposed system consists of 3 parts - multi-view encoder/decoder, face-tracker, and 2D/3D converter. The proposed system try to encode multi-view sequence and decode it in accordance with the user's view point and it also gives a stereopsis to the multi-view image by using of 2D/3D conversion which converts decoded two-dimensional(2D) image to three-dimensional(3D) image. Experimental results shows that we are able to correctly reconstruct a stereoscopic view that is exactly corresponding to user's view point.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 1996.11a
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• pp.296-300
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• 1996

This paper presents 3D position estimation algorithm with the images of 2D vision sensors which issues Red Laser Slit light and recieves the line images. Since the sensor usually measures 2D position of corner(or edge) of a body and the measured point is not fixed in the body, the additional information of the corner(or edge) is used. That is, corner(or edge) line is straight and fixed in the body. For the body which moves in a plane, the Transformation matrix between the body coordinate and the reference coordinate is analytically found. For the 3D motion body, linearization technique and least mean squares method are used.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 2002.10b
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• pp.249-250
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• 2002

In this paper, the relationship among the 3-D surface topography parameters are studied. Several surface topography parameters that are important in tribology are calculated against various surface topography data. 3-D surface data with desired properties are generated by using the non-causal 2-D auto-regressive (AR) model. The non-causal 2-D AR model is a random 3-D surface topography model that can generate 3-D surface topography data with specified parameters.

• 한국정보디스플레이학회:학술대회논문집
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• 2007.08b
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• pp.1235-1238
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• 2007

There are several researches on 2D gaze tracking techniques to the 2D screen for the Human-Computer Interaction. However, the researches for the gaze-based interaction to the stereo images or 3D contents are not reported. This paper presents a gaze-based 3D interaction technique on autostereoscopic display system.

• The Journal of the Korea Contents Association
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• v.15 no.2
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• pp.31-39
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• 2015

2D-to-3D video conversion vests 3D effects in a 2D video by generating stereoscopic views using depth cues inherent in the 2D video. This technology would be a good solution to resolve the problem of 3D content shortage during the transition period to the full ripe 3D video era. In this paper, a low-complexity depth generation method for 2D-to-3D video conversion is presented. For temporal consistency in global depth, a pattern-based depth generation method is newly introduced. A low-complexity refinement algorithm for local depth is also provided to improve 3D perception in object regions. Experimental results show that the proposed method outperforms conventional methods in terms of complexity and subjective quality.