To avoid the complexity that arose from directly solving the constrained optimization in L∞ norm, we present a new method, which decomposes the approximation curve into two parts: the basic curve and the correction curve.
为避免直接求解基于L∞距离的带约束逼近的非线性最优解引起的复杂性,提出了一种把降阶逼近曲线分解为基本曲线和修正曲线的降阶方法。
The problem in which t-directional relative directions between both base surfaces are conflicting when generating Gn blending surfaces by Erich Hartmann s method is investigated.
针对Erich Hartmann方法构造Gn连续过渡曲面时基曲面间t向相对方向相冲突的问题,提出了3种新的线性组合方法。
When G n blending surfaces between parametric base surfaces are generated based on reparameterization of partial surface patches in the base surfaces, the shape of the reparameterized local base surfaces influence the blending surfaces greatly.
讨论了基于重新参数化局部基曲面线性组合构造Gn 连续过渡曲面时重新参数化局部基曲面的形状对于过渡曲面的边界和形状的影响 ;提出了采用能量最小法使过渡曲面的边界弯曲最小来确定重新参数化局部基曲面参数域的方法 ,并提出相应的重新参数化局部基曲面的确定方法 ,从而构造较好的过渡曲
The influences of base surfaces,reparameterized local base surfaces,the balance factor and the thumb weight on the blending surface are analyzed when a Gn blending surface is generated by linear combination.
详细分析了采用线性组合方法构造Gn连续过渡曲面时,基曲面以及重新参数化局部基曲面、调配因子和平衡因子等对过渡曲面的影响。
first fundamental form of surface
曲面的第一基本形式
second fundamental form of a surface
曲面的第二基本形式
The Surfaces in S~3 with Semi-parallel Moebius Second Fundamental Form;
S~3中具有半平行Moebius第二基本形式的曲面
The Hypersurfaces in Unite Sphere with Semi-parallel and 2-order Parallel Mbius Second Fundamental Form;
球面中具有半平行和二阶平行Mbius第二基本形式的超曲面
The Invariance of Three Kinds of Surface Fundamental Forms under Orthogonal Transformation;
曲面的基本形式在欧氏变换下的固定性
Normal Curvature Disappeared Submanifolds with Parallel Second Fundamental Form
具有平行第二基本形式且法曲率张量场消失的子流形
A Note on the Square of the Length of the Second Foundmental Form;
对第二基本形式模长平方的一点注记
On the Surfaces whose first Wilczynski Directrices all pass through a Fixed Point
第一維爾清斯基準線過一定點的曲面
Interactive B-spline Surface Modeling based on Force Density Method
基于力密度的交互式B样条曲面变形
In chapter 2, it tells the definition of B-spline curve and surface and the fundamental algorithm - de Boor algorithm for points of curve and surface.
在第二章中，介绍了B样条曲线曲面的定义及基本算法--求曲线曲面点的德布尔算法；
The Deflectional Curvature of the Non - Straight Gradual - Approach Curve and the First and Second Foundation Measure in the Surface;
曲面上非直线的渐近曲线的挠率与第Ⅰ、Ⅱ基本量的关系
A rigid theorem about second fundamental form modula length square in the local symmetrical space;
局部对称空间中关于第二基本形式模长平方的一个刚性定理
This paper introduces Averaging arch area property of conic.
本文介绍圆锥曲线中平分弓形面积的一个性质.
Bézier Curves and Surfaces Represented by the Shifting Operator;
Bézier曲线曲面的位移算子表示形式
A set of functions or surfaces that can be generated by varying the parameters of a general equation.
族通过改变一般等式的参数形成的函数或曲面
But it was Peter Winch who developed this notion further, claiming that they represent modes of human life from which human activities derive their "point".
文曲进一步发展这个概念，强调生活形式乃是人的生命活动的基本模式。
Frist Eigenvalue of Submanifolds in Space Forms and the r-Stability of Hypersurfaces;
空间型中子流形的第一特征值及超曲面的r-稳定性
The Fundamental Groups and Discretizations of Manifolds with Integral Ricci Curvature Bounds;
一类满足Ricci曲率条件流形的基本群和离散化