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- W1559488781 abstract "Publisher Summary Smooth or blending function interpolants, which match a given function and slopes on the boundary of a rectangle or a triangle, usually require that the cross derivative or twist terms be defined unambiguously at vertices. Smooth interpolation schemes that avoid such restrictions could be useful for the piecewise generation of surfaces in computer-aided geometric design. This chapter discusses two such schemes—one over a rectangle and the other over a triangle. This chapter describes a new interpolation scheme for the triangle. This scheme has a relatively simple construction, it is symmetric in that each side of the triangle is treated in the same way, and it involves no compatibility constraints. The set of polynomials that are reproduced by an interpolation scheme is defined as the precision set of the interpolant." @default.
- W1559488781 created "2016-06-24" @default.
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- W1559488781 date "1974-01-01" @default.
- W1559488781 modified "2023-10-13" @default.
- W1559488781 title "SMOOTH INTERPOLATION WITHOUT TWIST CONSTRAINTS" @default.
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- W1559488781 doi "https://doi.org/10.1016/b978-0-12-079050-0.50009-6" @default.
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