查询词典 algebraic adjunction

Since the visualization of implicit algebraic surface is still a difficult problem, it is doubtlessly meaningful to construct some convenient and effective parameterization method for some kind of concrete implicit surfaces.

由于隐式代数曲面的显示问题始终是困扰人们的一个关键性难题，从而针对具体形式的代数曲面，能给出方便有效的参数化方法无疑是有意义的。

The system of differential equations for a geodesic line on an algebraic surface was discredited into a nonlinear system. Then it was solved numerically based on iterative methods.

在算法中，把决定代数曲面测地线的微分方程组离散为一个非线性方程组，然后采用迭代数值方法求解。

Since the boundary points is discontinuous resulting from errors in inner points and interpolated results are not on the same smooth curved surface, the algebraic methods usually generates inharmonious contour lines that may intersect with each other.

分析传统绘制等雨量线方法存在的弊端：由于边界点的不连续性导致内部点误差，同时得到的插值结果也不在同一光滑曲面上，导致生成的等值线分布不协调，甚至可能出现等值线相交的错误情况。

By using very general implicit shape primitive—algebraic surface, our scheme can represent more general 3D surfaces than other implicit surface reconstruction techniques.

同其它隐曲面重建方法相比，我们的方法通过使用很具一般性的隐式形状单元—代数曲面—可以表示更一般的三维表面。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

G^k continuous piecewise algebraic blending surface patches are obtained by solving the system via the generator basis algorithm of module over polynomial ring.

借助围绕一个顶点处的代数曲面光滑拼接条件，利用多项式环上的素模中的生成基方法，给出了凸组合和非凸组合情形下三个坐标平面间的的任意阶几何连续的光滑拼接方法。

The meaningful regions obtained by range image segmentation correspond to the surface patches of 3D object.The 3D surface patches are then reconstructed by the algebraic surface fitting method;the surface parameters are estimated by solving generalized eigenvector problem. The geometric model of 3D object is constructed from reconstructed surface patches by using CAD geometric modeling tool GEOMOD.

首先通过编码光栅方法获取三维物体的深度图象，并采用数学形态学的方法加以分割，然后利用代数曲面拟合手段对分割后的三维曲面片进行重建，并使用CAD几何建模工具由重建的曲面片构成物体的几何模型。

At last, based on a mathematical tool: algebraic system, this paper gives definition of spatial data cube.

最后，基于数学工具——代数系统，给出了空间数据立方体严格的数学定义。

For a system of algebraic equations, we can get a zero decomposition of triangular systems.

对于给定的的代数方城组，通过正规分解，可以得到一组具有三角形式的分解。

In the chapter7 and 8, the numerical algorithm for the variable delay differential algebraic system is studied.

在第七、八章，本文就变延迟微分代数系统的数值算法展开了研究。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48