Constructing NURBS surface model from scattered and unorganized range data

  • Authors:
  • In Kyu Park;Il Dong Yun;Sang Uk Lee

  • Affiliations:
  • School of Electrical Eng., Seoul National Univ., Seoul, Korea;School of Electronics and Control Eng., Hankuk University of F. S., Yongin, Korea;School of Electrical Eng., Seoul National Univ., Seoul, Korea

  • Venue:
  • 3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
  • Year:
  • 1999

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Abstract

In this paper. we propose an algorithm to produce 3-D surface model from a set of range data, based on Non-Uniform Rational B-Splines (NURBS) 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 is roughly made up of two stages: initial model approximation employing K-means clustering and construction of NURBS patch network using hierarchical graph representation. The initial model is approximated by both polyhedral and triangular model. Then the initial model is represented by hierarchical graph, which is efficiently used to construct the G1 continuous NURBS patch network of the whole object. Experiments are carried out on synthetic and real range data to evaluate the performance of the proposed algorithm. It is shown that the initial model as well as the NURBS patch network are constructed automatically, while the modeling error is observed to be negligible.