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- W129392674 abstract "In this paper, we present a geometric construction of control meshes of helicoids over trapezium domain. We flrst introduce the quasi-Bezier basis in the space spanned by f1;t;cost;sint;tsint;tcostg; with t 2 (0;fi);fi 2 (0;2…). We denote the curves ex- pressed by the quasi-Bezier basis as algebraic-trigonometric Bezier curves, for short AT- Bezier curves. Then we flnd out the transform matrices between the quasi-Bezier basis and f1;t;cost;sint;tsint;tcostg. Finally, we present the control mesh representation of the heli- coids and the geometric construction of the control mesh. In detail, we construct the control polygon of the planar Archimedean solenoid, which is also expressed with the quasi-Bezier basis, and then generate the mesh vertices by translating points of the control polygon." @default.
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- W129392674 date "2009-01-01" @default.
- W129392674 modified "2023-09-23" @default.
- W129392674 title "Construct Control Meshes of Helicoids over Trapezium Domain" @default.
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