Bi-cubic non-uniform B-spline surface reconstruction for slice contours

WANG Yu; ZHENG Jinjin; ZHOU Hongjun; SHEN Lianguan

doi:10.3969/j.issn.0253-2778.2011.05.002

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Bi-cubic non-uniform B-spline surface reconstruction for slice contours

1.
Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei 230027, China
2.
National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029, China

Cite this:

https://doi.org/10.3969/j.issn.0253-2778.2011.05.002

Received Date: 16 September 2008
Rev Recd Date: 20 January 2009
Publish Date: 31 May 2011

Abstract Full text PDF

Abstract

Abstract

A surface reconstruction method from the slice contours was proposed. First, feature points were extracted based on curvature feature, and they were resampled in order to get a unification of sampling points in each line (column). Then, the sampling points were interpolated to get a bi-cubic non-uniform B-spline surface. Finally, nodes were inserted on the surface based on distance feature at a certain control accuracy, and the new control points through the least-squares approximation method were calculated to get approximate surface within the permissible range error. Based on the characteristics of slice contours, B-spline cycle and non-cycle B-spline combined, and the calculation of closed and non-closed surface was discussed. It was found that the combination of interpolation and approximation makes the algorithm more rapid and practical.

Abstract

A surface reconstruction method from the slice contours was proposed. First, feature points were extracted based on curvature feature, and they were resampled in order to get a unification of sampling points in each line (column). Then, the sampling points were interpolated to get a bi-cubic non-uniform B-spline surface. Finally, nodes were inserted on the surface based on distance feature at a certain control accuracy, and the new control points through the least-squares approximation method were calculated to get approximate surface within the permissible range error. Based on the characteristics of slice contours, B-spline cycle and non-cycle B-spline combined, and the calculation of closed and non-closed surface was discussed. It was found that the combination of interpolation and approximation makes the algorithm more rapid and practical.