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기하학 기술을 이용한 인레이/온레이의 외면 모델링

An External Surfaces Modeling of Inlay/onlay Using Geometric Techniques

  • 유관희 (충북대학교 컴퓨터교육과 및 정보산업공학과) ;
  • 하종성 (우석대학교 컴퓨터공학과)
  • 발행 : 2005.12.01

초록

본 논문에서는 부분적으로 파손된 치아의 수복에 사용되는 인레이/온레이 인공치아를 효과적으로 모델링하는 기법을 제안한다. 인레이/온레이는 지대치에 부착되는 내면과 밖으로 들어나는 외면으로 구성된다. 내면은 지대치와의 밀착력을 확보하기 위하여 지대치의 삭제된 표면의 확장된 부분으로 Minkowski sum을 이용하여 모델링된다. 외면을 모델링하기 위해서는 표준치아 모델, 환자 치아 석고모형을 스캔한 메쉬 자료, 환자 치아교합을 측정한 FGP(functionally guided plane) 등 세 가지 정보와 DMFFD(direct manipulation free-form deformation)[19]과 MWD(multiple wires deformation)[17]의 3D 메쉬 변형 기술들을 이용한다. 표준치아 모델은 외면의 기본적인 형태를 결정하기 위하여 사용되는 반면 석고모형 데이터와 FGP는 환자 치아 인접면과 교합면마다 약간 다르지만 정확한 기능에 매우 중요한 고유 특성을 반영하기 위해 사용되는 정보이다. 이러한 정보들을 입력으로 DMFFD 기법과 MWD 기법을 각각 적용하여 인레이/온레이 인접면과 교합면을 메쉬 자료로 자동으로 생성해낸다. 연구된 기법은 치과의사에 의한 요구사항을 반영하여 생성된 메쉬 모델을 가시화하면서 보다 정확하게 인레이/온레이를 디자인할 수 있도록 구현되었다.

This paper presents a method for effectively modeling inlay/onlay prostheses restoring a tooth that are partially destroyed. An inlay/onlay is composed of internal surface adhering to an abutment, and external surface revealed to the outside sight. Internal surfaces are modeled using Minkowski sum expanding the grinded surface parts of abutments so that the internal surfaces can adhere to the abutments with closer contact. In modeling external surfaces, we exploit 3D mesh deformation techniques: DMFFD(direct manipulation free-form deformation)[19] and MWD(multiple wires deformation)[17] with three kinds of informations: standard teeth models, mesh data obtained by scanning a plaster cast of a patient's tooth, FGP(functionally guided plane) measuring the occlusion of the patients's teeth. The standard teeth models are used for building up the basic shapes of external surfaces, while the plaster fast and FGP data are used for reflecting the unique properties of adjacent md occlusal surfaces of the patients's teeth, which are slightly different to each other but very important for correct functioning. With these informations as input data, the adjacent and occlusal surfaces are automatically generated as mesh data using the techniques of DMFFD and m, respectively. Our method was implemented so that inlay/onlay prostheses fan be designed more accurately by visualizing the generated mesh models with requirements by dentists.

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참고문헌

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