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The vertex within control mesh of fitting subdivision surface was located by iterative modification and local adaptive subdivision. This method makes it feasible to avoid the solution of linear equation system. The size of control mesh, which is corresponding to the fitting Loop subdivision surface, is smaller. The surface is reconstructed according to the given precision. It can represent detail characteristics of original model, and is piecewise smooth (C^2 continuous everywhere except at extraordinary vertices where they are C^1 continuous).

系统通过对控制网格顶点的循环修正和局部自适应细分来求解最终拟合细分曲面控制网格,避免了求解线性方程组,提高了拟合曲面的质量,实现了在给定精度下用较少的控制网格反映物体细节特征的分片光滑(片内除奇异点C^1,外其余C^2连续)的Loop细分曲面重建。

In view of these disadvantages in the FEM model for the tire geometry, however, a new piecewise Ritz procedure is developed and presented in this dissertation for semi-analytical study of the contact problem of tire and road interaction.

针对现有的轮胎分析模型的计算量大并且不够精确的不足以及轮胎的几何结构和它的特点,本文发展了分片Ritz法进行轮胎/路面的接触问题分析。

The basic idea behind recursive subdivision is to create a function by repeatedly refining an initial piecewise-linear function f〓 to produce a sequence of increasingly detailed functions f〓, f〓...

细分的基本思想是通过对初始分片线性函数f〓不断地加细加密得到一系列越来越精细的函数列f〓,f〓。。。,最终得到该函数列的极限函数f。

In this paper, a new REE tracer method was used to quantitatively distinguish sheet and rill erosion amount. The new REE tracer method should be useful to future studying of erosion processes on slope lands.

本研究为定量区分片蚀和细沟侵蚀量以及坡面侵蚀过程中片蚀向细沟侵的转变以细胞侵蚀发生、发育提供了新的思路和解决途径。

Secondly, several singular point properties of piecewisealgebraic curves are discussed.

其次,简要讨论了分片代数曲线的奇点性质。

Considering that the NURBS has become a standard in CAD/CAGD, we shall investigate the approximation to the solutions of the minimal surface equation with the tensor Bezier surface and B-spline surface.

首先我们讨论极小曲面的分片线性的逼近,由于NURBS已经成为形状描述的唯一工业标准,而且极小曲面本身至少应该是二阶光滑的,因此我们讨论了极小曲面方程的Bezier和B样条逼近。

For the Bezier tensor product surface, recursive degree elevation and subdivision both generate a sequence of control meshes that converge to the underlying Bezier surface, and get the piecewise bilinear approximation of the original surface.

将升阶和子划分算法分别应用于Bézier张量积曲面,会产生一系列的控制网格,得到原曲面的分片双线性逼近。

Using an adaptive segment technique, a topological complex 3D surface can be developed into its corresponding 2D pattern.

利用自适应分片技术把拓扑结构复杂的曲面展开为平面。

In this paper, using the method of the Lagrangian dual, an unconstraint but nondifferentiable optimal problem in input space is proposed as the dual of the quadratic programm...

证明了该分片二次函数的极小点对应原二次规划的ε最优解,而用此极小点可直接算出支持向量和最优超平面。

Loosedthe illter-elemefit colltinuity further with the requirement of Irons patch teSt,obtains the weak continuity condition ensured convergence.

分片试验的要求来进一步放松单元间的连续性,可以得到保证收敛的弱连续条件,它只包括单元顶点的函数值连续和法向导数积分连续2个条件,从而扩大了有限元的构造范围。

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