• Journal of the Korea Computer Graphics Society
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• v.16 no.2
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• pp.1-7
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• 2010

This paper proposes a real-time simulation technique for thin rods undergoing large rotational deformation. Rods are thin objects such as ropes and hairs that can be abstracted as 1D structures. Development of a satisfactory physical model that runs in real-time but produces visually convincing animation of thin rods has been remaining a challenge in computer graphics. We adopt the energy formulation based on continuum mechanics, and develop a modal warping technique for rods that can integrate the governing equation in real-time. This novel simulation framework results from making extensions to the original modal warping technique, which was developed for the simulation of 3D solids. Experiments show that the proposed method runs in real-time even for large meshes, and that it can simulate large bending and/or twisting deformations with acceptable realism.

• Journal of the Korea Computer Graphics Society
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• v.12 no.2
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• pp.39-44
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• 2006

컴퓨터 그래픽스 분야에서 변형체 애니메이션은 매우 중요한 기법으로 그 응용 범위가 매우 넓다. 본 논문에서는 큰 회전 변형에도 부피의 왜곡이 발생하지 않으며, 변형체의 어느 한 부위가 고정되어 있지 않고 자유롭게 움직일 수 있는 동적 탄성 변형을 실시간에 시뮬레이션 하는 기법을 제안한다. Choi와 Ko [3]가 제안한 모달 와핑 기법은 실시간에 부피의 왜곡이 없는 동적 탄성 변형을 생성할 수 있지만 탄성체의 어느 한 부위가 고정 되어 있어야 하며, Hauser 등 [9]이 제안한 임펄스 기반의 충돌 반응을 고려한 선형 모달 해석법은 안정적인 시뮬레이션 결과를 주지만 큰 변형에 있어서 부피 왜곡이 있다. 본 논문에서는 Choi와 Ko [3]가 제안한 모달 와핑 기법을 임펄스 기반의 충돌 반응을 포함하도록 확장하여 큰 회전 변형에도 부피의 왜곡을 방지하며 또한 자유롭게 움직이는 탄성체의 충돌 반응을 안정적으로 시뮬레이션 할 수 있게 한다.

• Journal of Korea Game Society
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• v.7 no.2
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• pp.11-20
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• 2007

This paper proposes a real-time simulation technique for thin shells undergoing large deformation. Shells are thin objects such as leaves and papers that can be abstracted as 2D structures. Development of a satisfactory physical model that runs in real-time but produces visually convincing animation of thin shells has been remaining a challenge in computer graphics. Rather than resorting to shell theory which involves the most complex formulations in continuum mechanics, we adopt the energy functions from the discrete shells proposed by Grinspun et al. For real-time integration of the governing equation, we develop a modal warping technique for shells. This new simulation framework results from making extensions to the original modal warping technique which was developed for the simulation of 3D solids. We report experimental results, which show that the proposed method runs in real-time even for large meshes, and that it can simulate large bending and/or twisting deformations with acceptable realism.