查询词典 spline

In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

本文围绕着CAGD中常用的几种曲线曲面造型和形状调整进行了深入的研究，主要获得了以下一些成果：首先，证明了代数三角空间中的n次均匀C-B-spline基是一组标准全正基，并进一步扩充为一组标准B基。C-B-spline基与C-Bézier基是多项式与三角混合空间中的两组基，是适应工程实践中设计特殊曲线曲面的需要而产生的，类似于多项式空间中的B-spline基与Bézier基，是CAGD中重要的造型工具。

The bowl is created with a simple spline and I've just added a lathe deformer to create the final model.

应用一些简单的spline和调整lathe deformer 来建立碗的最终模型。

Finding out the maximum point of the equivalent plastic strain on each of the vertical lines, a group of discrete points on the critical slip surface will be obtained. Last, the discrete points are smoothed by means of the thin-plate smoothing spline; and the position of the critical 3D slip surface is determined.

最后，采用被称为薄板光顺样条(thin-plate smoothing spline)函数的插值方法对滑面上的离散点进行了插值光顺处理，在不指定边坡滑动模式和滑面形状的前提下就可以得到三维边坡的临界滑面。

The abutting algorithm of false tooth geometrical model with bicubic B-spline curved surface and its anti-algorithm of characteristic network controlling vertex are described in detail.

本文详述了利用双三次B-spline曲面拼接义齿模型的算法及其特征网络控制顶点反算方法，并给出具体实验数据及处理结果。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors. Furthermore, we give a normalized B-basis by inserting knots.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

The process of the oblique projection algorithm is derived using B-spline function and can provide good effect that is only inferior to the orthogonal projection algorithm.

倾斜投影演算法的处理程序中会使用到B-spline函数来实作影像的放大与缩小，它能提供仅次於正交投影演算法的效能。

The average configuration of each group was generated by the Procrustes analysis. These configurations were employed for geometric morphometry: finite-element method and thin-plate spline analysis.

将普式叠合分析法求得的各组平均图形，进行之后有限元素分析、和薄板仿样分析（Thin-plate spline analysis）的运算。

The surface of conventional engineering part is composed of simple analytical surfaces and four-boundary ruled surface primarily. Therefore a point cloud segmentation method based on those feature surfaces is proposed. Several algorithms to identify the simple analytical surface feature are investigated and discussed. The theory of fitting scattered point to B－Spline and Bézier surfaces is introduced and a fitting method based on four boundary and point set is also discussed. Moreover, anew method to recover the fix-radius rolling ball blend is proposed and discussed in detail.

常规工程零件的外表面中包含了大量的特征曲面，如简单解析曲面和四边直纹面，因此，本文提出基于特征曲面的的点云分割方法，研究几种识别简单解析曲面的算法；研究由点云拟合B－Spline和Bézier曲线的理论基础，总结曲面拟合的几种方法，提出一种反求定半径滚球圆角的方法。

Non uniform B spline, big deflective spline, fair methods of separated points, and transcendental functions etc.

其中单根曲线工具库，集非均匀BSpline、大挠度Spline、离散点光顺理论及超越函数等数学方法综合利用于一体，但曲线最终均被拟合在统一的几何不变的ArcSpline系统模型中。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。