Surface Blending Using T-splines in Semi-NURBS Form. (May 2022)

• Record Type: Journal Article
• Authors: Yang, Jiaming; Zhao, Gang; Wang, Wei; Du, Xiaoxiao; Guo, Mayi; Zhang, Ran
• Is Part Of: Computer aided design. Volume 146(2022)
• Publication Date: 2022-05
• Subjects: Surface blending -- T-splines -- Geometric modeling -- Iso-geometric analysis; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2022.103210
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: Surface blending is a permanent topic in computer aided geometric design. This modeling operation that generates smooth connection between given surfaces has been studied by many researchers. However, as the interests grow of integrated modeling system based on isogeometric analysis (IGA), some requirements that have not been fully discussed by conventional approaches become crucial, such as the exact spline representation of the blending surface, and the seamless merging of the modeling results. To address these problems, a surface blending method based on T-splines in semi-NURBS form is proposed in this paper. The flexibility and unstructured nature of T-splines provide a powerful foundation to achieve blending construction between incompatible NURBS or T-spline surfaces without disturbing them or inserting any redundant control points. Through a reasonable arrangement of the topological T-mesh, C 2 continuity constraints between T-splines are transformed into explicit formulae to construct the blending surface. Additionally, the generated model is one single watertight T-spline surface that can be easily used for isogeometric analysis. Several experimental examples validate the effectiveness and flexibility of the proposed blending method. Highlights: T-splines in semi-NURBS form are used to blend two incompatible surfaces. Knot insertion is avoided even when T-junctions exist near the contact curves. The blending result is a watertight surface suitable for further modeling and IGA. The construction is explicit without solving any system of equations.