The KIPS Transactions:PartA (정보처리학회논문지A)

Korea Information Processing Society (한국정보처리학회)
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Evaluation of shape similarity for 3D models

3차원 모델을 위한 형상 유사성 평가

  • 김정식 (세종대학교 대학원 컴퓨터공학과) ;
  • 최수미 (세종대학교 소프트웨어공학과)
  • Published : 2003.10.01
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Abstract

Evaluation of shape similarity for 3D models is essential in many areas - medicine, mechanical engineering, molecular biology, etc. Moreover, as 3D models are commonly used on the Web, many researches have been made on the classification and retrieval of 3D models. In this paper, we describe methods for 3D shape representation and major concepts of similarity evaluation, and analyze the key features of recent researches for shape comparison after classifying them into four categories including multi-resolution, topology, 2D image, and statistics based methods. In addition, we evaluated the performance of the reviewed methods by the selected criteria such as uniqueness, robustness, invariance, multi-resolution, efficiency, and comparison scope. Multi-resolution based methods have resulted in decreased computation time for comparison and increased preprocessing time. The methods using geometric and topological information were able to compare more various types of models and were robust to partial shape comparison. 2D image based methods incurred overheads in time and space complexity. Statistics based methods allowed for shape comparison without pose-normalization and showed robustness against affine transformations and noise.

3차원 모델의 형상 유사성 평가는 의학, 기계 공학, 분자 생물학 등의 많은 분야에서 매우 중요하다. 더욱이 3차원 모델이 웹 상에 보편화됨에 따라 3차원 모델들의 분류와 검색에 관한 연구들이 활발하게 이루어지고 있다. 본 논문에서는 3차원 형상 표현 방법들과 유사성 평가에 대한 주요 개념들을 기술하고, 최근의 형상 비교에 관한 연구들을 다해상도, 위상 기하학, 2차원 영상, 통계학 기반 방법들로 분류하여 그 특징들을 분석하였다. 또한 논문에서 채택한 유일성, 강인성, 불변성, 다해상도, 효율성, 비교범위와 같은 기준을 사용하여 그 성능을 비교 평가하였다. 다해상도 기반 방법은 비교를 위한 계산 시간은 감소시킨 반면 전처리 시간은 증가시켰다. 기하 및 위상 정보를 이용한 방법은 보다 다양한 형태의 모델들을 비교할 수 있었고 부분적인 형상 비교에도 강인하였다. 2차원 영상을 이용한 방법들은 시간 및 공간 복잡도가 높게 나타났다. 통계학 기반 방법들은 포즈 정규화 작업 없이 형상 비교가 가능하였고, 어파인 변환 및 잡음에도 강인한 결과를 보였다.

Keywords

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