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• W3048642724 abstract "The S-λ model is one of the most useful tools for shape designs and geometric representations in computer-aided geometric design (CAGD), which is due to its good geometric properties such as symmetry, shape adjustable property. With the aim to solve the problem that complex S-λ curves and surfaces cannot be constructed by a single curve and surface, the explicit continuity conditions for G1 connection of S-λ curves and surfaces are investigated in this paper. On the basis of linear independence and terminal properties of S-λ basis functions, the conditions of G1 geometric continuity between two adjacent S-λ curves and surfaces are proposed, respectively. Modeling examples imply that the continuity conditions proposed in this paper are easy and effective, which indicate that the S-λ curves and surfaces can be used as a powerful supplement of complex curves and surfaces design in computer aided design/computer aided manufacturing (CAD/CAM) system." @default.
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• W3048642724 date "2020-08-13" @default.
• W3048642724 modified "2023-09-27" @default.
• W3048642724 title "Explicit Continuity Conditions for G1 Connection of S-λ Curves and Surfaces" @default.
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• W3048642724 doi "https://doi.org/10.3390/math8081359" @default.
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