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- W2024147487 abstract "Abstract The paper discusses the local interpolation of parametric polynomial surfaces with curvature continuity over a network of arbitrary scattered points. The necessary conditions for the construction of such surfaces at an N- patch node are given. The relationships between neighbouring nodes and patches are established in terms of parametric transformations and shape parameters. They are used to guarantee the consistency of the resolution. The conclusion is that, if there are only quadrangular and triangular meshes on the net, it is possible to construct locally a curvature-continuous surface on the net with 8×8 rectangular and/or degree-9 triangular Bernstein–Bezier patches without further subdivisions, and to interpolate the position vectors, normal directions and Gaussian curvatures given at the nodes. In view of the fact the any N- sided polygon can be divided into N quadrangles or triangles, the result can be used for a net of arbitrary scattered points." @default.
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- W2024147487 date "1992-09-01" @default.
- W2024147487 modified "2023-09-27" @default.
- W2024147487 title "Local interpolation of curvature-continuous surfaces" @default.
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- W2024147487 doi "https://doi.org/10.1016/0010-4485(92)90029-a" @default.
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