Abstract
The objective of this research is to develop a surface joining method for constructing multi-looped surfaces. Based on this method, surfaces can be self-joined or inter-joined on loops to construct multi-looped surfaces. A loop is a continuous and closed boundary on a surface. By constructing one or several single-looped B-spline surfaces, multi-looped surfaces are constructed through loop joining of boundary curve segments. Loop joining is completed by merging the control points on the surface boundaries of B-spline surfaces. With the merging of data structures simultaneously, the consistencies of geometry and topology are kept in the surface model.
The proposed method for constructing multi-looped surfaces has the advantages that it is conceptually explicit, simple for user understanding and easy for system programming, and there is no computation of surface/surface intersections involved, thus no numerical solutions for nonlinear equations are required.
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Chuang, S.H., Chiou, I.Z. Constructing multi-looped surfaces by loop joining. Engineering with Computers 13, 175–183 (1997). https://doi.org/10.1007/BF01221214
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DOI: https://doi.org/10.1007/BF01221214