Model reconstruction using B-spline surfaces

Abstract

Recently, some results of the G 1 continuity conditions for B-splines surfaces have been presented. These G 1 conditions can be used in the reconstruction of bicubic and biquintic smooth B-splines surfaces with a single interior knots. However, the C 1 continuity conditions of B-spline surfaces with arbitrary degrees have not been solved. In this paper, we obtain the C 1 continuity conditions between two adjacent B-spline surfaces with arbitrary degrees. We also present a practical scheme of reconstructing model using the C 1 continuity conditions in reverse engineering. © 2012 Springer-Verlag.