# 정렬되지 않은 3차원 거리 데이터로부터의 NURBS 곡면 모델 생성 기법

• Park, In-Kyu (School of Electrical Engineering, Seoul National Univ) ;
• Yun, Il-Dong (Dept. of Control and Instrumentation Eng., Hankuk Univ. of F.S.) ;
• Lee, Sang-Uk (School of Electrical Engineering, Seoul National Univ)
• 박인규 (서울대학교 전기공학부) ;
• 윤일동 (한국외국어대학교 제어계측공학과) ;
• 이상욱 (서울대학교 전기공학부)
• Published : 2000.05.25

#### Abstract

In this paper, we propose an efficient algorithm to produce 3-D surface model from a set of range data, based on NURBS (Non-Uniform Rational B-Splines) surface fitting technique. It is assumed that the range data is initially unorganized and scattered 3-D points, while their connectivity is also unknown. The proposed algorithm consists of three steps: initial model approximation, hierarchical representation, and construction of the NURBS patch network. The mitral model is approximated by polyhedral and triangular model using K-means clustering technique Then, the initial model is represented by hierarchically decomposed tree structure. Based on this, $G^1$ continuous NURBS patch network is constructed efficiently. The computational complexity as well as the modeling error is much reduced by means of hierarchical decomposition and precise approximation of the NURBS control mesh Experimental results show that the initial model as well as the NURBS patch network are constructed automatically, while the modeling error is observed to be negligible.

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