• Journal of applied mathematics & informatics
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• v.18 no.1_2
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• pp.487-495
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• 2005

The main goal of this paper is to prove the digital homotopy lifting theorem with relation to a radius n local homeomorphism.

• Journal of The Korean Digital Architecture Interior Association
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• v.3 no.2
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• pp.20-29
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• 2003

It is an obstacle to improve living environments that an acute angle architectural design is often seen. Though that design give a stress to the neighborhood, we can't prevent the design taking place. We must control architectural design, because it is important to public worth and urban aesthetic. To prevent selfish architectural design, it is recommend to extend design review and reflect neighborhood opinions.

• Honam Mathematical Journal
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• v.26 no.3
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• pp.331-339
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• 2004

The aim of this paper is to show the difference between the notion of digital continuity and that of computer continuity. More precisely, for digital images $(X,\;k_0){\subset}Z^{n_0}$ and $(Y,\;k_1){\subset}Z^{n_1}$, $if(k_0,\;k_1)=(3^{n_0}-1,\;3^{n_1}-1)$, then the equivalence between digital continuity and computer continuity is proved. Meanwhile, if $(k_0,\;k_1){\neq}(3^{n_0}-1,\;3^{n_1}-1)$, then the difference between them is shown in terms of the uniform continuity property.

• Honam Mathematical Journal
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• v.38 no.3
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• pp.625-642
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• 2016

The recent papers [7, 12] developed two maps named by an LA- [7] and an LMA-map [12]. The present paper studies their properties and further, develops generalized versions of an LA- and an LMA-map, which makes the LA- [7] and the LMA-map [12] improved.

• Journal of the Korean Society of Environmental Restoration Technology
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• v.11 no.2
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• pp.1-9
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• 2008

The objective of the study is 10 know the relation of landslide occurrence with using TPI (Topographic Position Index) in the Pyungchang County. Total 659 landslide scars were detected from aerial photographs. To analyze TPI, 100m SN (Small-Neighborhood) TPI map, 500m LN (Large-Neighborhood) TPI map, and slope map were generated from the DEM (Digital Elevation Model) data which are made from 1 : 5,000 digital topographic map. 10 classes clustered by regular condition after overlapping each TPI maps and slope map. Through this process, we could make landform classification map. Because it is only to classify landform, 7 classes were finally regrouped by the slope angle information of landslide occurrence detected from aerial photography analysis. The accuracy of reclassified map is about 46%.

• Journal of Korea Multimedia Society
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• v.24 no.3
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• pp.406-415
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• 2021

The worldwide spread of the Internet and the digital information revolution have resulted in a rapid increase in the use and transmission of multimedia information due to the rapid development of communication technologies. It is important to protect images in order to prevent problems such as piracy and illegal distribution. To solve this problem, I propose a new digital color image encryption algorithm in this paper. I design a new pseudo-random number generator based on 1D five-neighborhood maximum length cellular automata (FN-MLCA) to change the pixel values of the plain image into unpredictable values. And then I use a 3D chaotic cat map to effectively shuffle the positions of the image pixel. In this paper, I propose a method to construct a new MLCA by modeling 1D FN-MLCA. This result is an extension of 1D 3-neighborhood CA and shows that more 1D MLCAs can be synthesized. The safety of the proposed algorithm is verified through various statistical analyses.

• Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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• v.26 no.9
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• pp.18-25
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• 2012

Recently, the depletion of fossil fuel carbon dioxide emissions due to limitations in the internal combustion engine vehicles is rising concern about electric vehicle. Neighborhood Electric Vehicle(NEV) is maximum speed 60km/h and one day driving distances less than 80km. In this paper, Power Conversion Controller is proposed for Neighborhood Electric Vehicle. To verify the developed Power conversion Controller, Test performed integration test, max load, power density, efficiency. Confirmed that the vehicle can be applied.

• Journal of the Korean Association of Geographic Information Studies
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• v.7 no.3
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• pp.118-125
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• 2004

The purpose of this study is to decide an appropriate neighborhood and a transition rule of cellular automata by analyzing the past growth process of urban areas in Gimhae. With cellular automata which can manage the change based on the dynamic model and time, this study analyzes the urban growth of Gimhae from 1987 to 2001. Also, through the simulation of different types for neighborhood and transition rules, we can find the appropriate neighborhood and the transition rule for Gimhae. In conclusion, the forecast of physical urban growth pattern is more accurate under conditions when the number of matrixes for the neighborhood is small, the shape of the neighborhood is rectangular, "${\alpha}$" value, which control the pace of urban growth, is low and the transition possibility ($P_{ij}$) is high.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.445-452
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• 2004

In [8], Rosenfeld's digital ($k_0,\;k_1$)-continuity was introduced and another was also established in terms of the preservation of ${k_i}-connectedness,\;i\;{\in}\;\{0,\;1\}$ [2, 3]. In this paper a new version of digital ($k_0,\;k_1$)-continuity for images in $Z^n$ is referred, which is proved to be an extended version of the formers [2, 3, 8]. The current digital ($k_0,\;k_1$)-continuity is derived from the notion of n kinds of digital neighborhoods with some radius without any difficulties on the dimension and adjacency of an image in $Z^n$. The aim of this paper is to compare among Rosenfeld's digital continuity, the current digital continuity and Boxer's digital ($k_0,\;k_1$)-continuity.

• Honam Mathematical Journal
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• v.26 no.1
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• pp.107-117
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• 2004

The aim of this paper is to introduce a digital $({\kappa}_0,\;{\kappa}_1)$-covering map and a local $({\kappa}_0,\;{\kappa}_1)$-homeomorphism. And further, we show that a digital $({\kappa}_0,\;{\kappa}_1)$-covering map is a local $({\kappa}_0,\;{\kappa}_1)$-homeomorphism and the converse does not hold. Finally, some property of a digital covering map is investigated with relation to some restriction map. Furthermore, we raise an open problem with relation to the product covering map.