查询词典 spline

An implicit Curve reconstruction method is proposed which represents the curve with all algebraic tensor-product B-spline,and minimizes the tension ofthe B-spline and the approximate geometric distance between the curve and the point set.

提出一种以代数张量积样条曲线作为几何表示形式，基于近似几何误差和薄板能量极小化的隐式重构模型。

A frame to construct a blending surface among quadrics with the algebraic tensor-product B-spline surfaces was presented. A C^1 continuous algebraic spline surface was obtained that very smoothly joined the given quadrics.

给出了一种应用代数张量积B样条曲面构造blending曲面的框架并详细讨论了二次代数曲面间blending曲面的构造方法。

The characteristics of B|spline basis function is first discussed, based on which B|spline neural network is proved to be a universal approximator.

1引言对于一个给定的非线性函数，我们都知道用神经网络可以以任意的精度来逼近它，原因就是神经网络是全局逼近器［1］。

This thesis gives the B-spline wavelet and essential quality of it, proponing the solving array expression of combining B-spline wavelet and Galerkin method.

给出了B-样条小波函数及其基本性质，并提出了B-样条小波与Galerkin方法相结合的求解列式。

The basic idea is as follows: first, a kind of plane α-B-spline interpolation curve with a shape control parameter a is constructed; then, by converting the first derivatives of the curve into Bernstein polynomial, the positive conditions of Bernstein polynomial can be used to get the necessary and sufficie nt conditions for the monotonicity of α-B-spline interpolation curves, i.e., the range of the parameter a. Therefore, monotone-preserving interpolating curves can be obtained succinctly.

其基本思想是：首先构造带有形状可调参数的一类平面(-B样条插值曲线，再把其一阶导矢的两个分量分别转化为Bernstein多项式，从而利用Bernstein多项式的正性条件，得到此曲线为单调的充要条件，即形状参数的取值范围，简单、快捷地实现此参数样条曲线的保单调插值。

In this paper, based on variational principle and bilinear coordinate transformation, a spline Kantorovich method using cubic B-spline function is presented to obtain an approximate solution for the free vibration problem of arbitrary quadrilateral plates with various boundary conditions.

本文从变分原理和双线性坐标变换出发，采用基于三次B样条的康托洛维奇法得到了带有各种边界条件任意四边形板自由振动的近似解答。

If the profile curve has been denoted by a nonuniform rational quadratic B-spline curve, it is very convenient to represent the surface of revolution as a nonuniform rational biquadratic B-spline surface.

只要轮廓曲线用非均匀有理二次B样条曲线来表示，就可相当方便地把旋转曲面表示成非均匀有理双二次B样条曲面。

Secondly, an adaptive real-time interpolation algorithm for B-spline curves is proposed combined with the chord error control and the largest centripetal acceleration control based on the differential geometry and the properties of B-spline curves.

其次，根据B样条曲线的特性以及微分几何原理，实现了一种带弦高误差控制和法向最大加速度控制的进给步长自适应B样条曲线实时插补算法。

We present two methods for generating a segment of circular arc by the vector valued continued fractions. Based on this method we construct a parametric rational arc spline that is GC〓 continuity. By adjusting the given tangent vector, this parametric rational arc spline also has convexity preserving property and monotonicity preserving property.

本文利用向量连分式给出了两种快速生成圆弧的新方法；在此基础上，本文还构造了一种GC〓连续的可调参数有理圆弧样条，在实际操作中，通过调整一侧端点的切向量，可使上述圆弧样条曲线保凸，保单调。

In terms of the positivity, compact support and normalization of B-spline basic function, the adjustment of the weights are accomplished locally and the output is simple. The results of the experiments show that the structure of the B-spline neurofuzzy-networks is clear and the training is more speedily than that of BP network.

在对刀具磨损状态进行监测过程中可以看出，B样条模糊神经网络内部的连接结构透明，可以很方便的根据实际需要调节网络结构，进行网络的优化来得到更加理想的诊断结果，同时证明了B样条模糊神经网络的训练速度优于BP网络。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。