查询词典 developable surface

A developable surface is one that can be made from a flat sheet without any in-plane strains.

可展曲面是一个可以由平板在不发生任何面内应变的条件下弯成的曲面。

In this manner, a developable surface was designed using control planes with Bézier and B-spline basis functions.

基于将可展曲面作为平面单参数族包络面的思想，给出在Bézier和B样条基下可展曲面的参数表示形式。

The programs of the above methods und algorithms are developed, which shall be used in the system of developable surface modeling for CAD/CAM.

zier曲线的情形作了分析和比较。这些方法和算法均应用于实例在计算机上得以实现。

Necessary and sufficient conditions for convexity preserving of developable surface patches are presented.

文中对计算机辅助设计技术中常用的可展面进行了保凸分析，利用该结论可以轻而易举地判别和控制可展面的形状

Based on that,the problem of reconstruction is studied according whether the axis-track surface is developable or not,and some valuable conclusions are derived.

在得出包络面、轴迹曲面、等效轴迹曲面互为等距曲面的结论的基础上，研究了轴迹曲面可展与不可展两种情况下的非等径包络重构问题，得到了一些有价值的结论。

While the first step inevitably distorts some properties of the globe, the developable surface can then be unfolded without further distortion.

所有的地图变形都是第一步造成的。

Finally, when a 00, the limt situations for the developable modeling and surface development above are all disscussed and Compared with those on Bezier curve .

六、以上提出的C-B？zier曲线上可展曲面造型方法和曲面展开算法，均给出了当α→0时的极限，并与B？

First, this paper, in the field of intrinsic geometry, studies the geometric problems on garment design, as well as applies the frame and semi-geodesic coordinates to prove the fundamental theorem of being a developable surface.

文中首先在内在几何学的层次上，研究了服装设计所涉及的几何学问题，应用标架与半测地坐标方法证明了曲面成为可展面的基本定理，研究了可展面的分类及其性质，考虑到服装三维几何造型的需要，证明了组合式可展面各组成片相切连接条件的命题，作为构造可展面的理论依据，证明了单参数平面族的包络面必为可展面的命题，在此基础上发展出服装几何造型的"刮大白"方法以及相关的三种构造可展面的解析方法。3D→2D的变换是三维服装CAD的重要内容之一，其几何学实质是曲面的定长映射，文中总结了定长映射即可展面在平面上展开的基本准则，在这一准则的指导下，结合服装设计与相关领域的要求，讨论了可展面在平面上展开的解析方法与数字方法，上述内容确立了服装设计几何学的基本框架。

We prove that the two families of torsal surfaces of $T$ touch the second focal surface $S_2$ along the net of orthogonal parametric curves if and only if $S_1$ is developable.

证明了$T$的两个可展曲面族沿着第二个焦曲面$S_2$的正交曲线网相交的充要条件是$S_1$是可展曲面。

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。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。