论文信息 - Reconstruction of surfaces of revolution from measured points

Reconstruction of surfaces of revolution from measured points

Abstract The objective of this work was to propose a surface fitting algorithm for the reconstruction of surfaces of revolution from three-dimensional measured points. A surface of revolution can be described by a two-dimensional cross-section curve rotating about an axis. An iterative optimization process was proposed to minimize the root-mean-squares error between each of the measured data and the fitted surface, which yields the optimized rotating axis and the best-fit cross-section curve. This surface fitting algorithm was combined with a B-spline surface fitting algorithm and a surface blending algorithm for the modeling of complex rotational parts. Several examples were presented to demonstrate the feasibility of the proposed strategy.

Jiing-Yih Lai | Wen-Der Ueng

[1] Josef Hoschek,et al. Spline approximation of offset curves , 1988, Comput. Aided Geom. Des..

[2] Jiing-Yih Lai,et al. Reverse engineering of composite sculptured surfaces , 1996 .

[3] Hyungjun Park,et al. Smooth surface approximation to serial cross-sections , 1996, Comput. Aided Des..

[4] N. Brädli,et al. Exchange of solid models: current state and future trends , 1989 .

[5] Roger J. McNichols,et al. Reverse engineering industrial applications , 1994 .

[6] Pramod N. Chivate,et al. Solid-model generation from measured point data , 1993, Comput. Aided Des..

[7] D. F. Rogers. Constrained B-spline curve and surface fitting , 1989 .

[8] B. Choi. Surface Modeling for Cad/Cam , 1991 .

[9] Chia-Hsiang Menq,et al. Parameter optimization in approximating curves and surfaces to measurement data , 1991, Comput. Aided Geom. Des..

[10] Chia-Hsiang Menq,et al. Smooth-surface approximation and reverse engineering , 1991, Comput. Aided Des..

[11] Jiing-Yih Lai,et al. Sweep-surface reconstruction from three-dimensional measured data , 1998, Comput. Aided Des..

[12] Weiyin Ma,et al. Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces , 1995, Comput. Aided Des..