In this paper, we investigate the inherent relationship between two types of rational Bezier surfaces. We present a conversion formula for rational Bezier surfaces from triangular patches to rectangular patches with s...In this paper, we investigate the inherent relationship between two types of rational Bezier surfaces. We present a conversion formula for rational Bezier surfaces from triangular patches to rectangular patches with straight forward geometric interpretations, an inverse process of such conversion is also considered.展开更多
In physics, there are two main energy formulas. One is kinetic energy formula and the another is Einstein equation. But kinetic energy formula can only calculate low speed motion. Einstein equation can only calculate ...In physics, there are two main energy formulas. One is kinetic energy formula and the another is Einstein equation. But kinetic energy formula can only calculate low speed motion. Einstein equation can only calculate light speed motion. The two formulas are not unified. We hope to get a unified formula. But it didn’t work. According to the principle of Lorentz contraction, we generalize the contraction of length to the contraction of mass, and obtain a unified energy formula. This is the generalized Einstein equation and the new Einstein kinetic energy formula.展开更多
为使得求值简单且具保形性的DP-NTP曲线增加一个形状调节的功能,将文献(Delgado J,Pe a J M.Ashape preserving representation with an evaluation algorithm of linear complexity.Computer Aided GeometricDesign,2003,20(1):1-10)...为使得求值简单且具保形性的DP-NTP曲线增加一个形状调节的功能,将文献(Delgado J,Pe a J M.Ashape preserving representation with an evaluation algorithm of linear complexity.Computer Aided GeometricDesign,2003,20(1):1-10)中给出的一类全新的标准全正(NTP)基进行推广,提出了带多个形状参数的DP-NTP基,并在此基础上定义了带形状参数的DP-NTP曲线.在分析DP-NTP曲线基本几何性质的同时,给出了这类带形状参数的DP-NTP基到Bernstein基的转换公式,并对各个形状参数的几何意义进行讨论,给出了形状调节的一些实例.实例结果表明,形状参数可以较好地起到外形调节的作用.展开更多
文摘In this paper, we investigate the inherent relationship between two types of rational Bezier surfaces. We present a conversion formula for rational Bezier surfaces from triangular patches to rectangular patches with straight forward geometric interpretations, an inverse process of such conversion is also considered.
文摘In physics, there are two main energy formulas. One is kinetic energy formula and the another is Einstein equation. But kinetic energy formula can only calculate low speed motion. Einstein equation can only calculate light speed motion. The two formulas are not unified. We hope to get a unified formula. But it didn’t work. According to the principle of Lorentz contraction, we generalize the contraction of length to the contraction of mass, and obtain a unified energy formula. This is the generalized Einstein equation and the new Einstein kinetic energy formula.
文摘为使得求值简单且具保形性的DP-NTP曲线增加一个形状调节的功能,将文献(Delgado J,Pe a J M.Ashape preserving representation with an evaluation algorithm of linear complexity.Computer Aided GeometricDesign,2003,20(1):1-10)中给出的一类全新的标准全正(NTP)基进行推广,提出了带多个形状参数的DP-NTP基,并在此基础上定义了带形状参数的DP-NTP曲线.在分析DP-NTP曲线基本几何性质的同时,给出了这类带形状参数的DP-NTP基到Bernstein基的转换公式,并对各个形状参数的几何意义进行讨论,给出了形状调节的一些实例.实例结果表明,形状参数可以较好地起到外形调节的作用.
