• Proceedings of the Korea Contents Association Conference
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• 2005.11a
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• pp.466-469
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• 2005

Recently, in computer graphics, researches on 3D animations have been very active. One of the important research areas in 3D animation is animation of human being. Implicit surface model is convient for modeling objects composed of complicated surface such as 3D characters and liquids. Moreover, it can represent various forms of surfaces using a relatively small amount of data. In this paper, we propose a method of facial model generation using Implicit Primitive.

• Computational Structural Engineering
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• v.4 no.1
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• pp.109-120
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• 1991

This paper introduces a geometric modelling system adopted in a newly developed preprocessor for finite element analysis of three dimensional structures. The formulation is characterized by hierachical construction of structural model which consists of control points, curves, surfaces and solids. Various surface and solid modelling schemes based on blending functions and boundary representation are systematized for finite element mesh generation. The modelling system is integrated with model synthesis and operations which facilitate modelling of complex structures.

• Review of Korea Contents Association
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• v.2 no.1
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• pp.34-42
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• 2004

음함수 곡면은 물체 표면을 직접 정의하지 않고 영역 구분 함수를 통해 물체를 포함하는 공간상의 모든 점들의 관계를 정의함으로써 간접적으로 표현하는 방법이다. 음함수 곡면을 이용한 모델링은 함수나 수식을 이용하여 물체를 표현하기 때문에 표면의 위치를 찾기 위한 계산이 필요하지만, 및 가지의 함수 정의만으로 복잡한 형태의 곡면을 직접 표현할 수 있으며 주어진 모델로부터 서로 다른 품질의 이미지를 제공할 수 있다는 장점을 갖는다.(중략)

• Journal of KIISE:Software and Applications
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• v.33 no.10
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• pp.868-876
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• 2006

2D input data have to be converted into 3D data by means of some functions and menu system in 2D input modeling system. But data in 3D input system for virtual spatial design can be directly connected to the 3D modeling data. Nevertheless, efficient surface modeling and deformation algorithm for the 3D input modeling system are not proposed yet. In this paper, problems of conventional NURBS surface deformation methods which can occur when applied in the 3D input modeling system are introduced. And NURBS surface deformation by 3D target curves, in which the designer can easily approach, are suggested. Designer can efficiently implement the virtual spatial sketching and design by using the proposed deformation algorithm.

• Journal of the Society of Naval Architects of Korea
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• v.28 no.1
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• pp.1-11
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• 1991

When a geometric modeling of a hull form for ship design and hull production is done, a hull fairing is a tedious process which wastes a lot of time, but it is unavoidable because hull consist of the sculptured surfaces. This paper presents the mathematical method of the direct fairing to overcome the tediousness of cross fairing. Bi-cubic B-spline surface description was adopted for the representation of the hull surface. The fairing process was executed by minimizing the strain energy in a shell plate. The color-encoded Gaussian curvature and strain energy were visualized on the screen to illustrate the fairness of the surface. The geometric information generated from the faired hull surface model was interfaced with the basic design calculation package and the hull production system.

• The Transactions of the Korea Information Processing Society
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• v.4 no.8
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• pp.2163-2172
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• 1997

SSI(Surface/Surface Intersection)is a fundamental geometric operation which is used in solid and geometric modeling to support trimmed surface and Boolean operations. In this paper, we suggest a new algorithm for tracing along the intersection curve of two regular surfaces. Thus, in this paper, we present a simplicity of computing and second degree continunity. Given a point of intersection curve, it is traced to entire curve of a intersection curve as the initial point of its and the initial point of each of a intersection curve is detected to DFS(Depth First Search) method in the Quadtree and is naturally presented a continuous form.

• Journal of the Korea Computer Graphics Society
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• v.10 no.2
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• pp.27-34
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• 2004

본 논문에서는 스윕에 기반하여 인체 형상을 모델링하고 변형하는 방법을 제시한다. 본 방법은 다각형 메쉬 형태로 주어진 3차원 인체 형상을 스윕 기반의 형상 구조로 재구성하여, 형상을 모델링하고 변형한다. 인체 형상의 팔, 다리, 몸통 등 각 부분을 근사하는 스윕 곡면을 생성하고 다각형 메쉬 상의 꼭지점들을 인접한 스윕 곡면과 연결하며, 스윕 곡면이 만나는 팔, 다리와 몸통 사이에서는 꼭지점마다 연결된 스윕 단면들을 블렌딩한다. 이를 통해 스윕을 제어하여 이와 연결된 인체 형상의 자연스러운 변형을 얻어낼 수 있다. 본 논문에서는 몇 개의 애니메이션 예들을 통하여 제시한 인체 변형 방법이 자연스러운 인체 동작 생성에 효과적임을 보인다. 본 논문의 결과들은 스윕 기반의 인체 형상 변형 방법이 실시간에 상당히 사실적이고 자연스러운 형상 변형이 가능함을 보여주어, 캐릭터 skinning 방법으로서 적절한 대안임을 보여준다.

• Transactions of the Korean Society of Mechanical Engineers
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• v.19 no.4
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• pp.1005-1012
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• 1995

This paper proposes a new approach for modeling sweep surfaces. The overall modeling procedure consists of following steps : (1)remeshing the section curves based on the curve lengths ; (2)remeshing the guide curve and the boundary curves based on a given sweeping rule ; (3)obtaining intermediate section curves at the remeshed points of the guide curve by blending the initial section curves ; (4)compensation of the intermediate section curves ; (5)interpolating the initial and intermediate curves using Hermite interpolant. The resulting sweep surface is expressed in a G$^{2}$ bicubic parametric spline surface.

• Journal of the Korea Computer Graphics Society
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• v.4 no.2
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• pp.69-75
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• 1998

Ruled surfaces are useful concept for surface design because they are defined by the one-parameter family of lines. In this paper, we prove that the offsets of a developable surface (a special class of ruled surfaces) are developable surfaces. Moreover, we prove that the offsets of a non-developable ruled surface cannot be ruled surfaces.

• Journal of the Korea Computer Graphics Society
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• v.25 no.3
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• pp.93-103
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• 2019

We introduce a geometric processing method for freeform surfaces based on high-precision torus patch approximation, a new spatial data structure for efficient geometric operations on freeform surfaces. A torus patch fits the freeform surface with flexibility: it can handle not only positive and negative curvature but also a zero curvature. It is possible to precisely approximate the surface regardless of the convexity/concavity of the surface. Unlike the traditional method, a torus patch easily bounds the surface normal, and the offset of the torus becomes a torus again, thus helps the acceleration of various geometric operations. We have shown that the torus patch's approximation accuracy of the freeform surface is high by measuring the upper bound of the two-sided Hausdorff distance between the freeform surface and set of torus patches. Using the method, it can be easily processed to detect an intersection curve between two freeform surfaces and find the offset surface of the freeform surface.