• Bulletin of the Korean Mathematical Society
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• v.34 no.1
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• pp.93-102
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• 1997

Let C be a nonempty closed convex subset of a Banach space E and let $T_1, \cdots, T_N$ be nonexpansive mappings from C into itself (recall that a mapping $T : C \longrightarrow C$ is nonexpansive if $\left\$\mid$ Tx - Ty \right\$\mid$ \leq \left\$\mid$ x - y \right\$\mid$$ for all $x, y \in C$). We consider the fixed point problem for nonexpansive mappings : find a common fixed point, i.e., find a point in $\cap_{i=1}^N Fix(T_i)$, where $Fix(T_i) := {x \in C : x = T_i x}$ denotes the set of fixed points of $T_i$.

• Geophysics and Geophysical Exploration
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• v.7 no.1
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• pp.7-13
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• 2004

In this paper, we demonstrate that Common Mid-Point (CMP) cross-correlation gathers of multi-channel and multi-shot surface waves give accurate phase-velocity curves, and enable us to reconstruct two-dimensional (2D) velocity structures with high resolution. Data acquisition for CMP cross-correlation analysis is similar to acquisition for a 2D seismic reflection survey. Data processing seems similar to Common Depth-Point (CDP) analysis of 2D seismic reflection survey data, but differs in that the cross-correlation of the original waveform is calculated before making CMP gathers. Data processing in CMP cross-correlation analysis consists of the following four steps: First, cross-correlations are calculated for every pair of traces in each shot gather. Second, correlation traces having a common mid-point are gathered, and those traces that have equal spacing are stacked in the time domain. The resultant cross-correlation gathers resemble shot gathers and are referred to as CMP cross-correlation gathers. Third, a multi-channel analysis is applied to the CMP cross-correlation gathers for calculating phase velocities of surface waves. Finally, a 2D S-wave velocity profile is reconstructed through non-linear least squares inversion. Analyses of waveform data from numerical modelling and field observations indicate that the new method could greatly improve the accuracy and resolution of subsurface S-velocity structure, compared with conventional surface-wave methods.

• Journal of the Korea institute for structural maintenance and inspection
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• v.16 no.6
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• pp.82-92
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• 2012

This study proposed a new non-destructive evaluation method for concrete bridge deck deterioration using ground penetrating radar (GPR). To calculate dielectric constant of the concrete bridge deck, an extended common mid-point (XCMP) method was developed for a two-layered structure using an air-coupled GPR antenna setup. The deterioration conditions of the concrete bridge deck such as deterioration depth was evaluated based on the dielectric constant and surface-to-average dielectric constant ratio of the concrete bridge deck. A GPR field test was conducted on an old concrete bridge with asphalt concrete surfacing to validate the new evaluation method. The test results showed that the newly proposed method estimated pavement thickness and deterioration depth of the concrete deck in a reasonable level.

• Current Optics and Photonics
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• v.6 no.2
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• pp.171-182
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• 2022

A single-photon laser and mid-wave infrared (MWIR) common aperture optical system was designed and developed to detect and range a long-distance civil aviation aircraft. The secondary mirror of the Ritchey-Chretien (R-C) optical system was chosen as a dichroic lens to realize the design of a common aperture system for the laser and MWIR. Point spread function (PSF) ellipticity was introduced to evaluate the coupling efficiency of the laser receiving system. A small aperture stop and narrow filter were set in the secondary image plane and an afocal light path of the laser system, respectively, and the stray light suppression ability of the small aperture stop was verified by modeling and simulation. With high-precision manufacturing technology by single point diamond turning (SPDT) and a high-efficiency dichroic coating, the laser/MWIR common aperture optical system with a 𝜑300 mm aluminum alloy mirror obtained images of buildings at a distance of 5 km with great quality. A civil aviation aircraft detection experiment was conducted. The results show that the common aperture system could detect and track long-distance civil aviation aircraft effectively, and the coverage was more than 450 km (signal-to-noise ratio = 6.3). It satisfied the application requirements for earlier warning and ranging of long-range targets in the area of aviation, aerospace and ground detection systems.

• The Journal of Engineering Geology
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• v.31 no.3
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• pp.257-267
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• 2021

Constraints on the structure and composition of the active layer are important for understanding permafrost evolution. Soil convection owing to repeated moisture-induced freeze-thaw cycles within the active layer promotes the formation of self-organized patterned ground. Here we present the results of ground penetrating radar (GPR) surveys across a selected sorted circle near King Sejong Station, Antarctica, to better delineate the active layer and its relation to the observed patterned ground structure. We acquire GPR data in both bistatic mode (common mid-points) for precise velocity constraints and monostatic mode (common-offset) for subsurface imaging. Reflections are derived from the active layer-permafrost boundary, organic layer-weathered soil boundary within the active layer, and frozen rock-fracture-filled ice boundary within the permafrost. The base of the imaged sorted circle possesses a convex-down shape in the central silty zone, which is typical for the pattern associated with convection-like soil motion within the active layer. The boundary between the central fine-silty domain and coarse-grained stone border is effectively identified in a radar amplitude contour at the assumed active layer depth, and is further examined in the frequency spectra of the near- and far-offset traces. The far-offset traces and the traces from the lower frequency components dominant on the far-offset traces would be associated with rapid absorption of higher frequency radiowave due to the voids in gravel-rich zone. The presented correlation strategies for analyzing very shallow, thin-layered GPR reflection data can potentially be applied to the various types of patterned ground, particularly for acquiring time-lapse imaging, when electric resistivity tomography is incorporated into the analysis.

• Economic and Environmental Geology
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• v.32 no.5
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• pp.495-502
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• 1999

Common-mid-point (CMP) seismic data on a dipping layer have have a stacking different from a horizontal layer velocity and the reflection points on data are dispersed to many positions. Therefore, the CMP data are not stacked well by the conventional stacking method using the horizontal layer velocity. The CMP gather can ideally stacked by applying dip-moveout(DMO) processing. Hence, modern seismic processing indludes DMO as an essential routine step. DMO processing techniques are broadly categorized by two, Fourier transform and integral methods, each of which has many different computational schemes. In this study, the dip-decomposition technique of the Fourier transform method is used to test the DMO effect on the synthetic scismic data generated for dipping structures. Each of constnat offset sections NMO corrected by using the layer velocity of the model and DMO processed. The resulting zero-offset sections for many offsets are stacked. The stacked sections with DMO processing show the structural boundaries of the models much better than those without DMO processing.

• Proceedings of the KIPE Conference
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• 2020.08a
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• pp.346-347
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• 2020

This paper presents the two combination methods for leakage current reduction in photovoltaic system PCS. The leakage current in the photovoltaic system generated from the parasitic capacitance existing between the photovoltaic system and ground relevance to common mode voltage caused by PWM switching. Firstly, Leakage current reduced by a PWM method using two carriers with 180-degree phase different. Secondly, the leakage current is more reduced by connecting LCL filter to the mid-point of DC link. This combining method is revealed in PSIM simulation with 1 uF parasitic capacitance.

• Geophysics and Geophysical Exploration
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• v.8 no.1
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• pp.59-66
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• 2005

The main purpose of this paper is to describe a highly efficient common mid-point (CMP) data acquisition method for ground-penetrating radar (GPR) surveying, which is intended to widen the application of GPR. The most important innovation to increase the efficiency of CMP data acquisition is continuous monitoring of the GPR antenna positions, using a real-time kinematic Global Positioning System (RTK-GPS). Survey time efficiency is improved because the automatic antenna locating system that we propose frees us from the most time-consuming process-deployment of the antenna at specified positions. Numerical experiments predicted that the data density and the CMP fold would be increased by the increased efficiency of data acquisition, which results in improved signal-to-noise ratios in the resulting data. A field experiment confirmed this hypothesis. The proposed method makes GPR surveys using CMP method more practical and popular. Furthermore, the method has the potential to supply detailed groundwater information. This is because we can convert the spatially dense dielectric constant distribution, obtained by using the CMP method we describe, into a dense physical value distribution that is closely related to such groundwater properties as water saturation.

• Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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• 2004.04a
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• pp.83-87
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• 2004

본 연구는 고해상도의 충적층 지하수위 분포 조사를 위한 탄성파 굴절법 조사 방법을 소개하고 부여 군수리 충적층 일대에서 이 기법을 통해, 획득된 실제 충적층내의 지하수위 조사 결과를 제시한다. 기본적으로 본 연구에서 활용된 연속 굴절파 중합 방식은 동일 공심점(common mid point, 이후 CMP)을 갖는 굴절파 신호를 취합하고, 이격 거리(offset)에 대한 시간 지연 효과 보정을 수행한 후, 이들 신호를 중합하여, 충적층의 지하수위면에서 굴절된 신호를 보다 뚜렷이 부각시켜 정확한 지하수위 정보를 획득 하는 방식으로 일명 CMP 굴절법이라고도 한다. 이 방식은 독일에서 최초 개발되었으나(Gebrande, 1986; Orlowsky 등, 1998), 국내에서 적용되기는 본 연구가 최초이다. 이러한 탄성파의 굴절 신호를 사용하는 방식은 우선, 기존의 일반적인 고해상도 반사법 탐사에서 잡음으로 여겨졌던 굴절파 신호를 활용할 수 있으며, 고해상도 반사법 탐사와 동일한 배열과 운영 방식으로 획득된 자료에서 원하는 정보를 획득할 수 있으므로, 고해상도 반사법에 의한 기반암 조사와 함께 적용될 경우, 정화한 충적 대수층의 분포를 조사할 수 있게 하여주는 획기적인 조사 신기술이다. 개발된 기법은 부여 군수리 충적층 지역을 대상으로 적용되었으며, 그 결과 기존의 어떠한 지구물리 조사 방법보다 정확하고 분명한 지하수위 분포를 보여주었다.

• The Journal of Art Theory & Practice
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• no.10
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• pp.85-103
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• 2010

Mona Hatoum and community make unlikely bedfellows. From her beginnings as a teenage exile to her maturity as an internationally celebrated artistic nomad, Hatoum defies classification within any single geographical or cultural community. Attempting, however, to locate specific points of contact between her and certain communities in terms of artist-in-residence projects in which she participated might be a particularly fruitful way of circumventing her notorious critical resistance to identity and her refusal of homogeneity. This paper starts with Miwon Kwon's critique of contemporary practices in community-based art, which locate an essentialising force that isolates a single point of commonality and overlooks authentic differences. It then turns to Jean-Luc Nancy's reconceptualization of community as 'unworked' and 'being-in-common' to provide analytical tools for avoiding the dangers of essentialism. By examining the three residencies that Hatoum accepted in the mid-1990s in the light of Nancy's observations and theories, and by bringing the idea of artistic nomadism and that of community into juxtaposition, we hope to show that Hatoum succeeds in finding an equilibrium between art and community, and that this sheds new light on the issues raised in recent discussions on such relationship.