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Titlebook: Computer Graphics and Geometric Modeling Using Beta-splines; Brian A. Barsky Book 1988 Springer-Verlag Berlin Heidelberg 1988 computer gra

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11#
發(fā)表于 2025-3-23 09:46:06 | 只看該作者
The Application of Tension to a Curve,uitively “pull out” these points by increasing tension. This concept was first analytically modeled by Schweikert in [23] and an alternative development was given in [6] and generalized in [19]. A detailed derivation of the generalized form based on a variational principle is given in [1].
12#
發(fā)表于 2025-3-23 14:32:41 | 只看該作者
Derivation of the Beta-spline Curve Representation,generated curve or surface, their positions completely determine its shape. The vertices for a curve are an ordered sequence and are connected in succession to form a (closed or open) . (Figure 7.1). This sequence of vertices will be denoted..
13#
發(fā)表于 2025-3-23 19:52:18 | 只看該作者
14#
發(fā)表于 2025-3-23 22:52:43 | 只看該作者
Geometrical Interpretation of the Shape Parameters, information specified by the control vertices. These shape parameters have the property that β1 = 1 indicates continuity of the parametric first derivative vector and β1 = 1 with β2 = 0 indicates continuity of the parametric first and second derivative vectors.
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發(fā)表于 2025-3-24 03:48:35 | 只看該作者
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發(fā)表于 2025-3-24 12:03:30 | 只看該作者
Computer Science Workbenchhttp://image.papertrans.cn/c/image/233565.jpg
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發(fā)表于 2025-3-24 17:45:46 | 只看該作者
19#
發(fā)表于 2025-3-24 21:05:22 | 只看該作者
Bach to Rock, A Musical Odysseygenerated curve or surface, their positions completely determine its shape. The vertices for a curve are an ordered sequence and are connected in succession to form a (closed or open) . (Figure 7.1). This sequence of vertices will be denoted..
20#
發(fā)表于 2025-3-25 02:06:50 | 只看該作者
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