• Bulletin of the Korean Mathematical Society
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• v.44 no.4
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• pp.753-761
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• 2007

In this note we extend the results of [3] concerning subadditive separating maps from A=C(X) to B=C(Y), for compact Hausdorff spaces X and Y, to the case where A and B are regular Banach function algebras(not necessarily unital) with A satisfying Ditkin#s condition. In particular we describe the general form of these maps and get a result on continuity of separating linear functionals.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.15 no.1
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• pp.166-179
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• 2021

Recently, with the development of technology, computer vision research based on the human visual system has been actively conducted. Saliency maps have been used to highlight areas that are visually interesting within the image, but they can suffer from low performance due to external factors, such as an indistinct background or light source. In this study, existing color, brightness, and contrast feature maps are subjected to multiple shape and orientation filters and then connected to a fully connected layer to determine pixel intensities within the image based on location-based weights. The proposed method demonstrates better performance in separating the background from the area of interest in terms of color and brightness in the presence of external elements and noise. Location-based weight normalization is also effective in removing pixels with high intensity that are outside of the image or in non-interest regions. Our proposed method also demonstrates that multi-filter normalization can be processed faster using parallel processing.

• Bulletin of the Korean Mathematical Society
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• v.20 no.2
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• pp.71-74
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• 1983

The problems of the continuity of homomorphisms between Banach algebras have been studied widely for the last two decades to obtain various fruitful results, yet it is far from characterizing the calss of Banach algebras for which each homomorphism from a member of the class into a Banach algebra is conitnuous. For commutative Banach algebras A and B a simple proof shows that every homomorphism .theta. from A into B is continuous provided that B is semi-simple, however, with a non semi-simple Banach algebra B examples of discontinuous homomorphisms from C(K) into B have been constructed by Dales [6] and Esterle [7]. For non commutative Banach algebras the problems of automatic continuity of homomorphisms seem to be much more difficult. Many positive results and open questions related to this subject may be found in [1], [3], [5] and [8], in particular most recent development can be found in the Lecture Note which contains [1]. It is well-known that a$^{*}$-isomorphism from a $C^{*}$-algebra into another $C^{*}$-algebra is an isometry, and an isomorphism of a Banach algebra into a $C^{*}$-algebra with self-adjoint range is continuous. But a$^{*}$-isomorphism from a $C^{*}$-algebra into an involutive Banach algebra is norm increasing [9], and one can not expect each of such isomorphisms to be continuous. In this note we discuss an isomorphism from a commutative $C^{*}$-algebra into a commutative Banach algebra with dense range via separating space. It is shown that such an isomorphism .theta. : A.rarw.B is conitnuous and maps A onto B is B is semi-simple, discontinuous if B is not semi-simple.

• Journal of the Korean Association of Geographic Information Studies
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• v.24 no.2
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• pp.52-63
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• 2021

In previous research, the coastal wetlands were detected by using the vegetation indices or land cover classification maps derived from the multispectral bands of the satellite or aerial imagery, and this approach caused the various limitations for detecting the coastal wetlands with high accuracy due to the difficulty of acquiring both land cover and topographic information by using the single remote sensing data. This research suggested the efficient methodology for detecting the coastal wetlands using the sentinel-2 satellite image and SRTM(Shuttle Radar Topography Mission) DEM (Digital Elevation Model) acquired in Gomsoman Bay, west coasts of South Korea through the following steps. First, the NDWI(Normalized Difference Water Index) image was generated using the green and near-infrared bands of the given Sentinel-2 satellite image. Then, the binary image that separating lands and waters was generated from the NDWI image based on the pixel intensity value 0.2 as the threshold and the other binary image that separating the upper sea level areas and the under sea level areas was generated from the SRTM DEM based on the pixel intensity value 0 as the threshold. Finally, the coastal wetland map was generated by overlaying analysis of these binary images. The generated coastal wetland map had the 94% overall accuracy. In addition, the other types of wetlands such as inland wetlands or mountain wetlands were not detected in the generated coastal wetland map, which means that the generated coastal wetland map can be used for the coastal wetland management tasks.

• Journal of the Korean Institute of Telematics and Electronics S
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• v.36S no.2
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• pp.63-68
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• 1999

We propose a new method which can solve the difficulty of separation the character strings from the interconnected lines and the distortions of vectorization at the crossing points and the junction points for the digitized maps at the same time. After the image is thinned, the crossing points and the junction points are detected with their neighbors, which we call the uncertain areas. And then the broken lines are connected each other, and the character strings are separated at the same time. The proposed method is applied to Korean cadastral map. Usually, Korean cadastral map consists of straight lines and character strings. The experimental results show that the method is effective in separating the character strings and getting high quality vectorization for the Korean cadastral map.

• Korean Journal of Heritage: History & Science
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• v.54 no.4
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• pp.246-259
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• 2021

Research has been conducted in various fields on a local fortress (eupseong) in the Joseon Dynasty, but the archaeological research on the prison (獄), which is part of the internal government, has not been conducted properly. Since the prison was first discovered in Gyeongju in 1997, there has been a necessity for research on the deployment and structure of the prison. This includes the office where jailers worked and had night duty and also the enclosure that keeps the prisoners inside. But the research came to a standstill because there was no comparative data. However, compared to the more recent findings of the Yeonil Prison and the Gonju Prison, we can identify that the structure was built during the early to the late Joseon Dynasty. King Sejong designed the standard prison blueprint called Anokdo (犴獄圖) in 1426 to manage prisoners nationwide and revised it once in 1439 to give better treatment during the winter and summer seasons. The Yeonil Prison operated from 1421 to 1743 and shows the structure of the prisons during the early to mid-Joseon period. It was very similar to the Gyeongju Prison on a smaller scale, which was operated until the late Joseon Dynasty with two main structures, one east and one west, and a circular fence. This structure was maintained even in the Gongju Prison during the late Joseon Dynasty, and it remains visible in photographs. The prison of the Joseon Dynasty had a circular fence with an estimated height of 3 meters and two buildings that separated male and female prisoners. The prison was divided into men on the east and women on the west with tile-roofed house structures that were difficult to escape. In front of the circular fence, there was an office with a thatched roof for the jailers and access to the prison was only possible through a double prison gate. The layout of the building reflects the improvements of the king's prison design made during Joseon Dynasty improving the environment of prisoners who are on trial and separating men and women in order to embody humanism.