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Abstract: In reverse engineering, in order to redesign a new patch
based on rectangular topological trimmed region surrounded by several
surfaces, two methods are proposed: skinning over a set of
cross-sectional curves and least squares surface fitting. With the
presented methods, the redesigned surface can interpolate given boundary
curves and cross-boundary derivatives, and at one time interpolate or
approximate the points within the trimmed region while preserving the G1
continuity and shape characteristics of the original whole model. In
practical applications, the methods and solution paths are proved to be
feasible and reliable.
Key words: Trimmed B-spline surface Least squares fitting Surface
skinning Reverse engineering
CLC No: TP391
国家“863”高科技发展计划(863-511-942-018)、教育部优秀骨干教师基金和教育部博士点基金联合资助项目. Received 20011010,
received in revised form 20020420
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