• International Journal of Internet, Broadcasting and Communication
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• 제15권2호
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• pp.175-180
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• 2023

Fractal geometry, a relatively new branch of mathematics, was first introduced by Benoit Mandelbrot in 1975. Since then, its applications have expanded into various fields of natural science. In fact, it has been recognized as one of the three significant scientific discoveries of the mid-20th century, along with the Dissipative System and Chaos Theory. With the help of fractal geometry, designers can create intricate and expressive artistic patterns, using the concept of self-similarity found in nature. The impact of fractal geometry on the digital art world is significant and its exploration could lead to new avenues for creativity and expression. This paper aims to explore and analyze the development and applications of fractal geometry in digital art design. It also aims to showcase the benefits of applying fractal geometry in art creation and paves the way for future research on sacred geometry.

• 한국실내디자인학회논문집
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• 제23권4호
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• pp.129-139
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• 2014

The objective of this research is to suggest new geometric possibilities in digital architecture by investigating the characteristics of hybridization in digital geometry. The research begins with theoretical background research such as defining hybridization, investigating hybrid thinking, and studying the theory of digital geometry, along with the four conceptual characteristics of hybridization that could be drawn, such as temporality, liquidity, complexity, and connectivity. Based on these characteristics, the generative method of hybrid digital geometric languages such as Blob, Particle, Morph, Loft, and Boolean was analyzed with case research in contemporary digital architecture. As a result, diverse hybrid geometric keywords were extracted; these keywords suggest potential meanings of hybridization such as accidentality, mobility, diversity, and identity. Different elements represent the "mobility" in time by the force and wave, and they are "accidentally" combined in gradual change. The united species in "diverse" characters are seamlessly connected and emerge as a new "identity." The research maximizes the generative possibilities in digital geometry and provides a theoretical basis to apply the digital hybrid methods to architectural design by suggesting the potential meanings and possibilities in hybridization.

• 호남수학학술지
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• 제30권2호
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• pp.207-217
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• 2008

Digital geometry has strongly contributed to the study of a discrete topological space $X{\subset}{\mathbf{Z}}^n$ with k-adjacency of ${\mathbf{Z}}^n$. As a survey-type article, we review various utilities of digital geometry.

• 한국측량학회지
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• 제10권2호
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• pp.25-30
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• 1992

수치사진측량에서 이용되는 대부분의 알고리즘은 수치화된 입체영상이 epipolar 기하상태를 이루고 있다는 가정을 근거로 하고 있으므로, 입체쌍의 주사선이 epipolartjs이 되어야 한다. 그러나 항공사진의 경우는 매 순간의 촬영위치에서 촬영자세가 달라지므로 epipolar 기하상태를 이루지 못한다. 본 연구에서는 한 쌍의 입체항공사진을 주사기(scanner)에 의해 수치영상으로 변환시키고, 절대표정후의 외부표정요소를 이용해 영상 재배열을 수행하는 과정에서 대해 연구하였다. 그 결과 입체수치영상으로부터 epipolar 기하상태의 영상을 생성하였다. 생성된 epipolar 영상은 영상정합 과정에 적용하기 위해 수치영상상관기법으로 영상정합을 실시하였고, 영상정합의 결과를 이용해 수치표고모형을 제작하였다. 영상정합에 의해 생성된 수치표모고형은 해석도화기에 의해 생성된 수치표고모형과 비교하였으며 그 결과 경제적인 방법으로 수치표고모형을 제작하는 방안이 제시되었다.

• 한국디지털건축인테리어학회논문집
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• 제9권3호
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• pp.15-23
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• 2009

Chaos theory, qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems, is dominant paradigm in the twenty first century. Fractal geometry, as an expressed form of chaos, now influences many areas such as architecture, art, music, economics, literature, etc. The purpose of this study is to analyze fractal geometry and fractal formative elements in architectural design. There are scaling, superimposition, distortion, deformation and repetition in the fractal form generator that can be applied to design concept and process in architecture. This study shows fractal geometry can be the architectural form creation method. Fractal geometry similar to nature's patterned order can be provided endless possibilities for design analysis and methodology in architecture. Therefore the further study of fractal geometry should progress synthetically through the basis of the study.

• 한국학교수학회논문집
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• 제6권2호
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• pp.39-53
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• 2003

본 연구에서는 인터넷 환경에 적합한 동적기하 소프트웨어에 대하여 논의하였다. 먼저 동적기하 소프트웨어의 필요성을 살펴보고, 상용되고 있는 소프트웨어인 GSP, Cabri, Cinderella의 기능 및 특징을 비교하였다. 그리고 본 연구진에 의하여 국내 최초로 개발된 DRC(Digital Ruler and Compass)의 개발과정과 구조에 대하여 알아보고, 인터넷 환경에서 DRC를 활용한 학습 방안에 대하여 알아보고 이후의 발전전망에 대하여 논의하였다.

• 한국BIM학회 논문집
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• 제12권1호
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• pp.10-22
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• 2022

Prefabricated bridges require strict management of tolerance during fabrication and assembly. In this paper, digital engineering models for prefabricated bridge components such as deck, girder, pier, abutment are suggested to support information delivery through the life-cycle of the bridge. Rule-based modeling is used to define geometry of the members considering variable dimensions due to fabrication and assembly error. DfMA(design for manufacturing and assembly) provides the rules for ease of fabrication and assembly. The digital engineering model consists of geometry, constraints and corresponding parameters for each phase. Alignment and control points are defined to manage tolerances of the prefabricated bridge during fabrication and assembly. Quality control by digital measurement of dimensions was also considered in the model definition. A pilot bridge was defined virtually to validate the suggested digital engineering models. The digital engineering models for DfMA showed excellent potential to realize prefabricated bridges.

• 호남수학학술지
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• 제34권3호
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• pp.451-465
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• 2012

Since there are several kinds of continuities of maps between digital spaces, the paper compares them, which can play an important role in digital topology and discrete geometry.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2003년도 춘계학술대회 논문집
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• pp.1634-1637
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• 2003

Any given object on the motor-driven turntable is pictured from 8 to 72 different views with a digital camera. 3D shape reconstruction is performed with the integrated software called by Scanware from these multiple digital photographs. There are several steps such as configuration, calibration, capturing, segmentation, shape creation, texturing and merging process during the shape reconstruction process. 3D geometry data can be exported to cad data such as Autocad input file. Also 3D image model is generated from 3D geometry and texture data, and is used to advertise the model in the internet environment. Consumers can see the object realistically from wanted views by rotating or zooming in the internet browsers with Scanbull spx plug-in. The spx format allows a compact saving of 3D objects to handle or download. There are many types of scan equipments such as laser scanners and photogrammetric scanners. Line or point scan methods by laser can generate precise 3D geometry but cannot obtain color textures in general. Reversely, 3D image modeling with photogrammetry can generate not only geometries but also textures from associated polygons. We got various 3D image models and introduced the process of getting 3D image model of an internet-connected watchdog robot.

• 한국콘텐츠학회논문지
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• 제16권5호
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• pp.306-317
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• 2016

비정형형태 생성을 위한 디지털디자인도구의 활용은 작업자의 능력에 따라 극히 주관적으로 활용되기 때문에, 공통적으로 활용될 수 있는 규칙의 설정을 통해 프로토타입 으로서 비정형 생성방법의 설정을 제시하고, 보다 효과적인 비정형 디자인 형태생성방법을 제시하고자 한다. 본 연구는 비정형 형태의 일반적 이론이 아닌 Concept발의-전개 단계에서 Mass구성 및 표현을 위한 비정형형태생성을 위한 디지털디자인도구의 활용 위주로 진행한다. 현대건축의 비정형적 형태는 디지털디자인도구와 디자인개념의 변화에서 시작된다. 선행연구를 통한 비정형적 작품을 사례를 바탕으로, 이를 분석하여 나타나는 형태적 특성을 디지털디자인도구의 언어를 중심으로 해석하고, 디지털디자인도구의 Geometry 변형을 통해 비정형 형태를 구현하는 기법을 제안하고자 한다.