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- W2138448270 abstract "Two kinds of trigonometric spline bases are constructed in this paper. Based on these bases, two kinds of trigonometric spline curves are defined. As each piece of these trigonometric spline curves are generated by three consecutive control points, these curves retain many properties of the quadratic B-spline curves, but they have better continuity than the quadratic B-spline curves. For equidistant knots, they have C <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>3</sup> continuity under normal conditions, and the second kind of curve has C <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>5</sup> continuity under special conditions. Besides, these trigonometric spline curves are closer to the control polygon than the quadratic B-spline curves when the shape parameters under special conditions. In the last, the trigonometric spline surfaces with shape parameters are also constructed and they have most properties of the corresponding trigonometric spline curves." @default.
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- W2138448270 date "2009-06-01" @default.
- W2138448270 modified "2023-09-28" @default.
- W2138448270 title "Two Kinds of B-Spline-Type Trigonometric Curves" @default.
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- W2138448270 doi "https://doi.org/10.1109/cinc.2009.58" @default.
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