Reverse Engineering of a Subdivision Surface Enabling Accurate Fitting around Feature Edges

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  • 特徴稜線部への高精度フィッティングが可能な細分割曲面リバースエンジニアリング
  • トクチョウ リョウセンブ エ ノ コウセイド フィッティング ガ カノウ ナ サイブンカツ キョクメン リバースエンジニアリング

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Abstract

This paper proposes a new algorithm for fitting a Loop subdivision surface to dense sample points. Our fitting algorithm uses marching cubes and shrink-wrapping to fit the initial control mesh to the points measured from objects. It uses quasi-interpolation to quickly calculate the positions of initial control points from subdivision limit points and uses QEM- and curvature-based mesh simplification to preserve feature boundaries of the minute fillet regions so as to accurately fit to the feature edges. The effectiveness of our fitting algorithm was verified in reverse engineering of broad range of engineering mock-ups such as housings of a handheld wireless communicator, a cellphone, and a turbine blade. The resulting initial control mesh of the subdivision surface that was fit to over 106-point cloud had about several thousand of vertices with approximately 10-3 mean normalized fitting error.

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