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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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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].
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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..
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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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Computer Science Workbenchhttp://image.papertrans.cn/c/image/233565.jpg
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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..
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