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Simplification of Boundary Representation Models Based on Stepwise Volume Decomposition

단계적 볼륨분해에 기반한 경계표현 모델의 단순화

  • Kim, Byung Chul (Dept. of Mechanical Engineering, Dong-A Univ.) ;
  • Mun, Duhwan (Dept. of Precision Mechanical Engineering, Kyungpook Nat'l Univ.)
  • Received : 2013.07.01
  • Accepted : 2013.08.13
  • Published : 2013.10.01

Abstract

In this study, a method to apply feature-based simplification to boundary representation models is proposed. For feature-based simplification, a volume decomposition tree is created from a boundary representation model. The volume decomposition tree is represented by regularized Boolean operations of additive volumes, subtractive volumes, and fillet/round/chamfer volumes, and it is generated by stepwise volume decomposition, which consists of fillet/round/chamfer decomposition, wrap-around decomposition, volume split decomposition, and cell-based decomposition. After the volume decomposition tree is transformed to an infix expression, the CAD model can be simplified by reordering the volumes. To verify the proposed method, a prototype system was implemented, and experiments on test cases were conducted. From the results of the experiments, it is verified that the proposed method is useful for simplifying CAD models based on boundary representation.

본 논문에서는 경계표현 모델에 특징형상기반 단순화를 적용하는 방법을 제안한다. 특징형상기반 단순화를 위해, 경계표현 모델로부터 볼륨분해 트리가 생성된다. 볼륨분해 트리는 가산적 볼륨, 감산적 볼륨 및 필렛/라운드/모따기 볼륨들의 정규화된 불리언 연산으로 표현되며, 필렛/라운드/모따기 분해, 랩어라운드 분해, 볼륨분할 분해 및 셀 기반 분해로 구성된 단계적 볼륨분해를 이용해 생성된다. 볼륨분해 트리는 중위연산 형태로 변환되고, 볼륨들의 순서를 변경하여 CAD 모델을 단순화시킨다. 제안한 방법의 검증을 위해, 프로토타입 시스템을 구현했고, 테스트 케이스에 대한 CAD 모델 단순화 실험을 수행하였다. 실험을 통해 제안한 방법이 경계표현 기반 CAD 모델의 단순화에 유용함을 확인하였다.

Keywords

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