| 1. | Matrix representation of transformations
>变换的矩阵表示形式 |
| 2. | Explicit matrix representation for nurbs curves and surfaces and its algorithm
曲线曲面的显式矩阵表示及其算法 |
| 3. | Symmetry and matrix representation of octagonal point groups in quasicrystal
准晶体中八方晶系点群的对称性与矩阵表示 |
| 4. | 4 . the system of reversal problem equations for nurbs curves is solved from their matrix representation
四、从nurbs曲线矩阵表示出发，求解nurbs反问题。 |
| 5. | By using the matrix representation of a digraph , some results about the index of convergence and period of a line digraph are obtained
摘要采有有向图的矩阵表示，得到了线有向图的幂敛指数和周期的有关结果。 |
| 6. | In this paper 5 function modek equivalent circuit model and p matrix representation of idt are expounded . the principle of energy transfer efficiency of energy transfer and frequency response of combinational acoustic pathes are also expounded
本论文阐述了叉指换能器的6函数模型、等效电路模型和p矩阵表示方法；耦合器能量转移的原理、能量转移效率；组合声路的频率响应。 |
| 7. | Then , we infer the thin film system reflection or the transmittance mathematics value formula and the characteristic matrix representation formula from the maxwell ’ s equations and the suitable boundary condition . we study the automatic design problem of optical thin film
在此基础上从麦克斯韦方程组和适当的边界条件出发,推导出了薄膜系统的反射或透射率的数学数值计算公式和特征矩阵计算公式。 |
| 8. | Y type and s type dual - path saw mass sensors have been tested and analysed in detail . their frequency domain characteristics and time domain characteristics have been tested under non - oscillatory mode . transmission characteristics of y type s type and " - " type saw mass sensors are derived by p matrix representation . primary delay signal triple reflection signal and quintuple reflection signal of these sensor devices have been analysed in detail
结果表明，在正常工作模式下， y型和s型双声路声表醚质量传感器件的三次渡越反射信号和五次渡越反射信号比“一”字型双声路声表醚质量传感器件的三次渡越反射信号和五次渡越反射信号分别小12db 、 16 . 67db和n _ . sdb ? 17 . 3db 。 |
| 9. | The matrix representations of nurbs are applied in the interpolation of nurbs curves and surfaces . in order to improve the effect of approximation , the paper introduces optimal method and presents a practical optimal algorithm for approximation of nurbs curves and surfaces
接着研究了nurbs曲线、曲面拟合问题，提出用nurbs的矩阵表示来进行插值，简化了计算过程；采用优化的方法对nurbs曲线、曲面逼近的效果进行了改进，提出了实用的nurbs曲线、曲面逼近的优化算法。 |
| 10. | The author ' s work gives new way , which is beneficial to real time interaction and can efficiently reduce computing time as well as data storage amount . these algorithms can find good use in numerical machining , robotics , form - position tolerance and computer graphics . ( 3 ) degree reduction for nurbs curves and surfaces by applying the theory of the best uniform approximation of chebyshev polynomials and the explicit matrix representation of nurbs curves , this thesis centers on the research of the explicit nearly best approximation of multi - degree reduction of nurbs curves
以上关于等距曲线的几何逼近与代数逼近的算法改革了当前国际图形界只能对基曲线沿法矢方向平移定距离的点作近似逼近的固定模式，创造了利于交互操作，能有效地减少计算量及数据存储量的新方法，可在数控加工、浙江大学硕士学位论文机器人、形位公差学、计算机图形学中获得很好的应用( 3 ) nurbs曲线曲面降阶应用nurbs曲线的显式矩阵表示及chebyshev多项式逼近理论，以实现nurbs曲线显式一次性降多阶的近似最佳逼近为目标进行了研究 |
