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Date: 30-9-2021
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Date: 29-11-2021
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Date: 4-11-2021
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A B-spline is a generalization of the Bézier curve. Let a vector known as the knot vector be defined
(1) |
where is a nondecreasing sequence with , and define control points , ..., . Define the degree as
(2) |
The "knots" , ..., are called internal knots.
Define the basis functions as
(3) |
|||
(4) |
where , 2, ..., . Then the curve defined by
(5) |
is a B-spline.
Specific types include the nonperiodic B-spline (first knots equal 0 and last equal to 1; illustrated above) and uniform B-spline (internal knots are equally spaced). A B-spline with no internal knots is a Bézier curve.
A curve is times differentiable at a point where duplicate knot values occur. The knot values determine the extent of the control of the control points.
-splines are implemented in the Wolfram Language as BSplineCurve[pts].
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دراسة يابانية لتقليل مخاطر أمراض المواليد منخفضي الوزن
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اكتشاف أكبر مرجان في العالم قبالة سواحل جزر سليمان
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المجمع العلمي ينظّم ندوة حوارية حول مفهوم العولمة الرقمية في بابل
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